Loading

  • 21 Aug, 2019

  • By, Wikipedia

Trench (album)
Trench is the fifth studio album by American musical duo Twenty One Pilots, released on October 5, 2018, through Fueled by Ramen and Elektra Records. It was the band's first studio album in three years, after the breakthrough success of their fourth studio album, Blurryface (2015). Recorded in secret during a year-long public silence, it is a concept album which explores mental health, suicide, and doubt, themes prominently featured in the band's previous works, framed in the metaphorical city of Dema and the surrounding continent known as "Trench". The album was also the first release of the newly revived Elektra Music Group.

The album was preceded by the release of four singles. The first two, "Jumpsuit" and "Nico and the Niners", were both released on July 11, 2018. The third single, "Levitate", was released on August 8, 2018. The fourth single, "My Blood", was released on August 27, 2018. Two more singles, "Chlorine" and "The Hype", were released on January 22 and July 16, 2019, respectively. To promote the album, the band embarked on the Bandito Tour, which began at the Bridgestone Arena in Nashville, Tennessee on October 16, 2018, and concluded at the Aragon Ballroom in Chicago, Illinois on December 13, 2019.

Trench received acclaim from critics, who praised its ambition, songwriting and cohesive production; many contrasted it favorably with Blurryface. Several publications placed the record on their year-end lists of 2018, with Rock Sound naming it the best album of the year. It was also a commercial success, reaching number one in six countries, including Australia, New Zealand, Spain and the Netherlands, and number two in several countries, notably the United Kingdom and United States.

Background and production

Twenty One Pilots released their fourth studio album, Blurryface, on May 17, 2015. The album topped the Billboard 200 and produced two top five singles, "Stressed Out" and "Ride", peaking at number two and number five, respectively, on the Billboard Hot 100. The songs, along with the single "Heathens" from the Suicide Squad soundtrack, launched the band into mainstream success in 2016. The duo embarked on two concert tours in support of the album from 2015 to 2017. In an interview with Alternative Press, the band stated that they would be "going dark" in order to focus on new music, and added that they would focus on the lyrical content and bring back the "authenticity, lyrics, delivery, and fearlessness of songwriting" of the band's eponymous album. Following the five final dates of the band's tour, "Tour De Columbus", the duo entered a year-long break from public appearances beginning on July 6, 2017, in order to rest and work on their next project.

Paul Meany, singer and keyboardist of the alternative rock band Mutemath, co-wrote and co-produced much of the project alongside frontman Tyler Joseph.

The conceptual world of "Trench" was created before the songs from the album had been written, departing from the band's regular songwriting process where they would create the album song by song. It is unclear when production of Trench began; however, lead singer Tyler Joseph was working on the track "Bandito" as early as 2015, during the Blurryface Tour. Joseph produced the album's fourteen tracks within his private home studio, while Josh Dun's drum tracks were recorded at United Recording Studios. Mutemath frontman and keyboardist Paul Meany co-produced and co-wrote much of the project, following his previous collaboration with Twenty One Pilots for the TOPxMM remix EP and on the Emotional Roadshow World Tour. Adam Hawkins mixed the album in its entirety. The album's "drop dead due date to get ahead of production and distribution" was August 15, 2018, less than two months before the release of the album.

No one other than Joseph, Dun, and Meany were involved in the songwriting process for the album in order to eliminate any effect a family member, friend or colleague could have on the final form of the record's content through their comments. In an interview with Kerrang!, Joseph explained that he only showed these people the album when it was finished so that their reaction would be "as close to their true reaction as possible." In a later interview with The New York Times, he recounted how the project "almost destroyed" him, leading him to consider ending all work on it, as his emotional state "whiplashed" between self-deprecation and self-confidence.

Concept and music

Trench continues the band's exploration of themes surrounding insecurity, faith, suicide, and mental health, prominent themes on Twenty One Pilots' previous albums. The album was formed around the conceptual world of "Trench", created by Joseph and represented through the album's accompanying marketing and music videos.

Much of the album and its marketing material discusses the city of "Dema", a fictional location set within Trench that draws its name from dakhma, or "Tower of Silence", in Zoroastrianism. In that religion, Towers of Silence were used to dispose of dead bodies by having vultures eat the corpses. The band explained on Reddit that they were inspired by the "sad and intriguing concept of a dying religion... the reason it was dying was something they could never control: The lack of the vultures needed to carry out their theology. Something so natural and logistical can get in the way of your religion."

Nico, one of the nine "bishops" of Dema, is named after Nicolas Bourbaki, the collective pseudonym of a group of predominantly French mathematicians. The picture is taken at the Bourbaki congress at Dieulefit, 1938. From left, Simone Weil, Charles Pisot, André Weil, Jean Dieudonné (sitting), Claude Chabauty, Charles Ehresmann, and Jean Delsarte.

Last record, Blurryface was a character that represented insecurity, and the more you learn about those insecurities and the more you learn about that character, the more control that you can have over things like that in your mental game of war. With this record being a continuation of that, one of the things that I knew I wanted to do was to figure out Blurryface's real name, and Blurryface's real name is Nicolas Bourbaki.

–Tyler Joseph, speaking to Music Feeds

Trench's city, Dema, is ruled by nine "bishops", whose names are Nico (full name Nicolas Bourbaki, based on a collective pseudonym of a group of mainly French mathematicians), Andre, Lisden, Keons, Reisdro, Sacarver, Nills, Vetomo, and Listo. The chief bishop, Nico, was revealed by Joseph to be Blurryface, the personification of his insecurities from their previous album of the same name. Other characters involved are part of a group who call themselves the "Banditos", whose aim is to liberate the people of Dema. They adopt the color yellow, specifically 0xFCE300, which the bishops are unable to see, instead seeing it as grey.

The album, like Twenty One Pilots' previous records, contains many different genres of music, including alternative rock, alternative hip hop, pop rock, electronic rock, R&B, reggae, electropop and rap rock. It opens with the alternative and hard rock song containing progressive rock and nu metal hooks, "Jumpsuit". Lyrically it is about dealing with Joseph's insecurities. It was described by Rolling Stone as having "distorted bass guitar, crisp drumming and dark washes of synth" with Joseph's vocals building from "a near-whisper to a full-throated scream, to an atmospheric falsetto." The song's outro merges into the next track, "Levitate", a minimalist rap rock track. "Morph" is a fusion of jazz, rock, rap, and reggae. It explores the themes of life after death and references the leading bishop, Nico. The song has been compared to artists such as Khalid, the Prodigy, Beck and DJ Shadow. The following track, "My Blood", is an indie pop and rock song about remaining loyal to a friend. The track has been compared to songs such as Foster the People's "Pumped Up Kicks" and Portugal. The Man's "Feel It Still" due to the song's chorus featuring a falsetto sung by Joseph. "Chlorine" is a song about “cleansing your mind from dark thoughts.” "Smithereens" is a "cute and playful" song about Joseph's love for his wife, Jenna, whom he married in 2015.

The next song, "Neon Gravestones", is a "slow-burning" rap song building over a
8 piano riff with electronic percussion being added as the song progresses. Lyrically, the track explores suicide and its glorification by the media and ends with a plea to admire those who have gone through life, not those who have chosen an earlier grave. "The Hype" is an alternative rock chant-along with a ukulele bridge. In an interview with Coup de Main Magazine, Joseph says the song is about the difference between internal and external pressure. The next track, "Nico and the Niners", is a song fusing reggae, rap, rock and psychedelia that is about resisting the "bishops", a theme found in "Doubt", a song from the previous album, denouncing their religion, "Vialism", and leaving Dema. "Cut My Lip" is about the willingness to persevere even when times are hard, and also discusses Joseph's struggle between staying true to himself and giving into the demands of the music industry.

The following track, "Bandito", is a piano-heavy ballad with mysterious minimal electronics that sees the protagonist accepting his role as part of the Banditos, a group of rebels. It contains the lyric "Sahlo Folina", which is an anagram that, when unscrambled, reads "all Ohio fans". The track has been compared to the work of Alt-J. "Pet Cheetah" is a song that blends the rap, techno and rock genres and is a metaphor for the songwriting process and writer's block. "Legend" is a tribute to Joseph's grandfather, Robert, who died on March 17, 2018. He was featured on the right-hand side of the album cover for the band's 2013 label-debut release, Vessel. The final track, "Leave the City", features slightly restrained vocals, a strong piano segment, and light drumming. The song is about losing faith, reflecting Joseph's struggles with his Christian beliefs. It does not build up to a complete crescendo and intentionally leaves the song feeling slightly incomplete. Joseph explains this as representing the concept that "Trench" is a journey between one place (Dema) and whatever comes next, which mirrors how mental illness is an ongoing struggle that one needs to keep working at.

The narrative and characters of the album were loosely continued in the band's sixth studio album Scaled and Icy (2021), and concluded in their seventh album Clancy (2024).

Release and promotion

Twenty One Pilots first mentioned Dema, the fictional city created by the band, during the 2017 Alternative Press Music Awards when they won the award for Most Dedicated Fanbase. Josh Dun collected the award alone and apologized for Tyler Joseph's absence, mentioning that Joseph was "severing ties with Dema", hinting that he was working on an ongoing project. On April 21, 2018, fans discovered the URL dmaorg.info hidden in a GIF on the band's webstore. This site consisted of a series of cryptic teasers centered around Dema.

The website also contained many journal entries from Clancy, a fictional character and the protagonist in the band's conceptual world. The journal was about his escape from Dema, with entries periodically added over time. On July 6, following a journal entry promising that "by morning, everything will be different", the band sent an e-mail containing a GIF of a slightly opened eye to fans who subscribed to their newsletter. The band returned to social media on July 9, 2018, with a video of a more opened yellow eye. Billboards and murals emblazoned with the band's new logo were put up in numerous cities around the world overnight. The next day, the band posted another video of the eye, more open than before, with a muffled version of the intro to "Jumpsuit" playing. The song, as well as a second single, "Nico and the Niners" were eventually released on July 11. The same day, the band announced the title of the album as Trench and revealed its release date. The track list for the album was revealed the next month.

Upon the end of the band's hiatus, Josh Dun was interviewed by Hanuman Welch of Beats 1 about the album's writing process and the band's two new singles. On September 5, 2018, Zane Lowe, also of Beats 1, hosted an interview with band member Tyler Joseph in his home studio in Columbus, Ohio, to speak about the band's year-long hiatus, the album, and how it reflected his struggles with insecurity, spirituality, and mental health.

On September 14, 2018, Twenty One Pilots announced on Twitter that they would be releasing a yellow colored vinyl LP exclusive to their online store. They also announced that they would be releasing 15,000 copies of the LP in olive green through Indie Retail and 8,000 copies of the LP in olive green and yellow on the Urban Outfitters website. It was announced that the band would appear in various record stores across the United Kingdom during the European leg of the Bandito Tour.

On October 2, 2018, several copies of the album were accidentally sold in a record store in Australia and the record was subsequently illegally leaked. Josh Dun hosted a livestream on Instagram with Tyler Joseph the following day to promote the album and addressed this leak. The album was released at midnight two days later, accompanied by a music video for "My Blood". The album was also the first release of the newly revived Elektra Music Group. The band uploaded a spoof poster of the 2018 film A Star Is Born on their Twitter account, replacing Bradley Cooper and Lady Gaga with themselves in a bid to defeat the film's soundtrack album in terms of sales. In December 2018, the band partnered with music streaming service Spotify to create an immersive video experience exploring the world of "Trench", which also revealed the meaning of the five symbols featured on the album cover underneath the track listing.

On June 21, the duo launched their Location Sessions series, which features live renditions of tracks from Trench. The first track to be released was an acoustic version of "Chlorine", named "Chlorine (19.4326° N, 99.1332° W)", with the coordinates following the song title pointing to a square in Mexico City. A reworked live performance of "Cut My Lip" was released on July 11 as the second song shared from the series.

Ahead of the album's release, the band was featured on the cover of Rock Sound magazine's September issue, Alternative Press magazine's September issue, and Kerrang! magazine's October issue, all containing an interview with the band and exclusive photographs. Following the album's release, Caryn Ganz, writing for The New York Times, interviewed Joseph and Dun about the band's history and the album's creation.

Singles

On July 11, 2018, the band released the first two singles, "Jumpsuit" and "Nico and the Niners", as well as a music video for "Jumpsuit". On July 25, 2018, a music video for "Nico and the Niners" was released, as the second of a trilogy of videos centered on the fictional world of Trench. Both videos feature references to the videos of previous songs, including "Heavydirtysoul" and "Stressed Out", with the repeated imagery of a burning car for the former and an elaborate handshake by Joseph and Dun for the latter.

The third single off the album, "Levitate", was leaked onto the streaming platform Tidal prior to its official release in August, only to quickly be removed. The song was subsequently released the next day as the album's third single via Zane Lowe's Beats 1 show as the day's "World Record", accompanied by the album's official track listing. A music video was also released, concluding the trilogy.

On August 20, 2018, at the VMAs, a ten-second long snippet of the song "My Blood" was played at the end of a commercial promoting the album. On August 27, 2018, a Twitter user leaked the full song onto his Twitter account in low quality, after they found that it could be played on their Apple HomePod. The leak was confirmed real when the band made the song available on streaming services later that day, as the album's fourth single. A music video for the song premiered on YouTube the day of the album's release. On January 22, 2019, the track "Chlorine" was released as the album's fifth single and was accompanied by a music video. "The Hype" was sent to US alternative radio on July 16, 2019, as the sixth and final single from the album, with its music video released on July 26.

Tour

Main article: The Bandito Tour
Twenty One Pilots performing in 2019

The day of the release of "Jumpsuit", the band announced that a concert tour in support of the album, titled "The Bandito Tour", would begin on October 16, 2018. It was later revealed that Awolnation and Max Frost would perform as the opening act for the first North American leg of the tour.

On August 19, 2018, Twenty One Pilots released an unlisted YouTube video promoting a concert at the Brixton Academy in London; the concert was titled "A Complete Diversion", a reference to a line from the song "Nico and the Niners" ("And start a concert, a complete diversion"). The concert took place on September 12, 2018, less than a month before the scheduled release date of the album.

The first North American leg of the tour started in Nashville, Tennessee on October 18, 2018, less than two weeks after the album was released. After North America, shows continued in Australia and Europe, as well as several festivals in South America. A second North American leg ending on June 30, 2019, was added to the tour, including shows in Mexico and Canada as well as two shows in the band's hometown, Columbus. This was followed by a series of prominent festival headlining performances in North America and Europe ending on December 13, 2019, and by a third North American leg ending on November 9, 2019.

Commercial performance

Trench became Twenty One Pilots' first number one album in Australia, debuting atop the ARIA Albums Chart on October 13. It also debuted at number one in New Zealand, Spain, Portugal, Czech Republic, Mexico, and the Netherlands.

Trench debuted at number two on the US Billboard 200 behind the soundtrack for A Star Is Born, with 175,000 album-equivalent units, of which 135,000 were pure album sales. This marked the band's biggest sales week in the country, surpassing their number one album Blurryface. It is the band's second US top three album. The album then dipped to number 7 in its second week with 49,000 units. The album debuted at number one on the Top Rock Albums and Alternative Albums charts, and every song from the album charted in the top 25 of the US Hot Rock Songs chart. The album also debuted at number two on the Canadian Albums Chart with 11,000 album-equivalent units. The album was leading the UK midweek charts upon its release with 6,000 combined sales, but debuted number two on the UK Albums Chart with 29,835 copies (including 6,178 sales equivalent streams), almost 2,000 behind the soundtrack album A Star Is Born, making it the band's highest-charting album to date in the country. It also became the band's highest-charting album in Ireland, Scotland, Finland, and Norway, debuting at number two in these countries. In France, the album debuted at number nine on the SNEP Albums Chart, selling 6,400 units. In the US, Trench was certified Platinum on May 14, 2020.

By January 3, 2019, 7,000 cassette copies of Trench had been sold in the US, making it the third most sold cassette album of 2018 behind Guardians of the Galaxy: Awesome Mix Vol. 1 and Guardians of the Galaxy Vol 2: Awesome Mix Vol. 2, and making a major contribution to the 23% rise in cassette sales in the US in 2018.

Reception

Critical reception

Professional ratings
Aggregate scores
SourceRating
Metacritic81/100
Review scores
SourceRating
411 Mania7/10
AllMusic
Dead Press
Gig Soup79%
Hot Press7/10
Kerrang!4/5
NME
PopMatters
Rolling Stone
The Spill Magazine4/5

Trench received critical acclaim, earning extensive praise for its ambition, songwriting and more cohesive production. Many contrasted it favorably with the band's previous album Blurryface, noting a growth in overall maturity. At Metacritic, which assigns a normalized rating out of 100 to reviews from mainstream critics, the album has an average score of 81 out of 100 based on 6 reviews, indicating "universal acclaim".

David McLaughlin of Kerrang! found the band to be "at their most personal and creatively daring best," praising the album's songwriting, ambition, catchiness and accessibility. Gary Ryan of NME described the record as "the sound of a band ratcheting up the ambition without ever being pulled down by an undertow of pretentiousness," adding that "it's more low-key than Blurryface, but ultimately more rewarding;" he also opined that though "the narrative... doesn't overwhelm," Joseph's songwriting is "most affecting when he steps beyond any concept straight-jacket." Neil Z. Yeung acclaimed the album's introspective lyrics in his review for AllMusic, summarizing that "although Trench requires a few spins to really register, it's ultimately rewarding and fully immersive, delivering a depth and gravity at which Twenty One Pilots only hinted on Blurryface." Vicki Mahony of The Spill Magazine praised the album's darker themes and more mature sound compared to Blurryface, and further commended its "outstanding" production and "dynamic sound."

Billboard writer Chris Payne considered Trench "surprisingly cohesive" and complimented its "outstanding sequencing and production continuity," concluding that it "matches the stakes of Blurryface and all its demon-conquering, genre-blurring catharsis, while raising it one on the sonic universe holding it all together." Similarly, Rolling Stone's Christopher Weingarten stated that the array of genres and ideas found on Blurryface had "coalesced into a smarter, more mature whole" on Trench, additionally noting its "more cohesive sound and feel" and the duo's growth "as songwriters and arrangers." Joshua Copperman of PopMatters expressed similar opinions, claiming that "the album hangs together thanks to an increased maturity in the thematic content and production," but had mixed feelings towards its musical restraint: although he considered it "not a bad fit" for the band, it occasionally "leads to lesser versions of the kinds of music they normally do well." Conversely, Damon Taylor of Dead Press wrote that "a plethora of influences are splashed across the record, giving their core sound a new distinction," and additionally praised Dun's drumming, writing that he "pushes the pace of each track with reserve and intensity in equal measure."

David Hayter of 411 Mania considered that "mythos laden concept album Trench might struggle to consistently fire on all cylinders, but the good far out weighs the bad, making for a thoughtful and sonically daring experience." Chris Willman, writing for Variety, found the album to be at its best when the songs "ditch the characters and concept and just have Joseph directly saying what he means," adding: "take my recommendation and forget about the most deeply conceptual parts of this concept album — which just seems like a lot of work — and enjoy the many parts of Trench that don't require a thirst for symbolic origin stories." Conversely, Stephen Keegan of Hot Press opined that "in today's 'stan culture', Joseph's clever breadcrumbing of lyrical clues allows fans to bond over their shared community – and will have obsessives debating on Genius.com for months." GIG Soup wrote highly positively of the album's "personal" songwriting, claiming that "Twenty One Pilots are discussing topics others are afraid to, and they are doing it right."

Accolades

Year-end lists
Publication Accolade Rank Ref.
Alternative Press The 50 Best Albums of 2018 —
Billboard The 50 Best Albums of 2018
34
The 25 Best Rock Albums of 2018
4
iHeartRadio Top 10 ALT Albums of 2018 —
Kerrang! The 50 Albums that Shook 2018
21
Rock Sound Rock Sound's Best Albums of 2018
1

Track listing

Trench track listing
No.TitleWriter(s)Length
1."Jumpsuit"Tyler Joseph3:58
2."Levitate"Joseph, Paul Meany2:25
3."Morph"Joseph, Meany4:19
4."My Blood"Joseph3:49
5."Chlorine"Joseph, Meany5:24
6."Smithereens"Joseph, Meany2:57
7."Neon Gravestones"Joseph4:00
8."The Hype"Joseph4:25
9."Nico and the Niners"Joseph3:45
10."Cut My Lip"Joseph, Meany4:43
11."Bandito"Joseph, Meany5:31
12."Pet Cheetah"Joseph, Meany3:18
13."Legend"Joseph2:53
14."Leave the City"Joseph4:40
Total length:56:04
Triplet EP (10" vinyl)
No.TitleWriter(s)Length
1."Jumpsuit"Joseph3:58
2."Levitate"Joseph, Meany2:25
3."Nico and the Niners"Joseph3:45
Total length:10:11

Personnel

Twenty One Pilots

  • Tyler Joseph – lead vocals, bass, piano, programming, keyboards, synthesizers, organs, ukulele, production, songwriting
  • Josh Dun – drums, percussion, drum engineering, backing vocals

Additional musicians

  • Paul Meany – synthesizers, programming, keyboards, production, songwriting, backing vocals

Additional personnel

  • Chris Gehringer – mastering
  • Adam Hawkins – mixing
  • Brad Heaton – photography and illustrating
  • Brian Ranney – packaging
  • Brandon Rike – creative director, design
  • Chris Woltman – executive producer

Recording

Charts

Certifications

Certifications for Trench
Region Certification Certified units/sales
Australia (ARIA) Gold 35,000
Austria (IFPI Austria) Gold 7,500
Brazil (Pro-Música Brasil) Platinum 40,000
Canada (Music Canada) Platinum 80,000
Denmark (IFPI Danmark) Gold 10,000
France (SNEP) Gold 50,000
Italy (FIMI) Gold 25,000
Mexico (AMPROFON) Gold 30,000
Poland (ZPAV) Platinum 20,000
United Kingdom (BPI) Gold 100,000
United States (RIAA) Platinum 1,000,000

Sales+streaming figures based on certification alone.

Release history

Release history and formats for Trench
Region Date Format Label Ref.
Various October 5, 2018
CD
Vinyl LP
Cassette

See also

References

  1. ^ Beats 1 (September 5, 2018). "twenty one pilots: 'Trench,' Overcoming Insecurities & What's Next – Beats 1 – Apple Music". Retrieved October 12, 2018 – via YouTube.{{cite web}}: CS1 maint: numeric names: authors list (link)
  2. ^ Hall, Mackenzie (November 21, 2016). "Twenty One Pilots talk new music, fans, more in our latest issue". Alternative Press. Retrieved January 5, 2019.
  3. ^ Dickman, Maggie (July 7, 2017). "Update: Twenty One Pilots tease "come and find me," and fans are freaking out". Alternative Press. Retrieved January 5, 2019.
  4. ^ Jeff, Benjamin (July 7, 2017). "Twenty One Pilots Are Teasing Something & Fans Are Going Nuts". Fuse. Retrieved January 5, 2019.
  5. ^ Brii, Jamieson (December 11, 2018). "Here's How Twenty One Pilots' Tyler Joseph Crafted The World Of Trench". Rock Sound. Archived from the original on April 26, 2022. Retrieved December 15, 2018.
  6. ^ "[AMA] hey, we are Tyler and Josh from twenty one pilots, ask us anything…". Reddit. Retrieved October 10, 2018.
  7. ^ "Twenty One Pilots Tracks Songs for "Trench" at United Recording – United Recording Studios". United Recording Studios, Los Angeles. September 7, 2018. Retrieved October 1, 2018.
  8. ^ Beats 1 (September 5, 2018). "twenty one pilots: 'Trench,' Overcoming Insecurities & What's Next – Beats 1 – Apple Music". Retrieved October 5, 2018 – via YouTube.{{cite web}}: CS1 maint: numeric names: authors list (link)
  9. ^ Goggin, David (September 5, 2018). "Twenty One Pilots Tracks Songs for "Trench" at United Recording". Electronic Musician. Retrieved October 5, 2018.
  10. ^ "twenty one pilots on Twitter:"comes out oct5.."". Retrieved August 17, 2018 – via Twitter.
  11. ^ Carter, Emily (October 10, 2018). "Twenty One Pilots - Part two of our guided tour of Trench with Tyler and Josh". Kerrang!. Retrieved July 31, 2019.
  12. ^ Ganz, Caryn (October 15, 2018). "Twenty One Pilots Want to Stay Strange". The New York Times. Retrieved October 18, 2018.
  13. ^ Williams, Paige (October 5, 2018). "Twenty One Pilots' 'Trench': Decoding the New Album's Hidden Meanings". Billboard. Retrieved October 7, 2018.
  14. ^ Heinz, Natasha (October 8, 2018). "Here's what we learned from the twenty one pilots AMA". Alternative Press. Retrieved October 10, 2018.
  15. ^ Karkaria, Bachi (January 26, 2015). "Death in the city: How a lack of vultures threatens Mumbai's 'Towers of Silence'". The Guardian. Retrieved October 10, 2018.
  16. ^ Aczel, Amir D. (2006). The Artist and the Mathematician: the Story of Nicolas Bourbaki, the Genius Mathematician Who Never Existed. Thunder's Mouth Press. pp. 123–125. ISBN 978-1560259312.
  17. ^ Mashaal, Maurice (2006). Bourbaki: a Secret Society of Mathematicians. American Mathematical Society. p. 31. ISBN 978-0821839676.
  18. ^ Bellamy, Sarah (October 5, 2018). "Twenty One Pilots on the Meaning Behind New Album 'Trench' & Blurryface's Real Name". Music Feeds. Retrieved October 8, 2018.
  19. ^ "Map of Dema". dmaorg.info. Retrieved October 7, 2018.
  20. ^ Williams, Paige (July 12, 2018). "Twenty One Pilots' 'Trench': Decoding the Clues They've Left About Their New Album". Billboard. Retrieved October 7, 2018.
  21. ^ Willman, Chris (October 7, 2018). "Album Review: Twenty One Pilots – Trench". Variety. Retrieved October 8, 2018.
  22. ^ Fitzmaurice, Larry (October 17, 2018). "Trench: Twenty One Pilots Album Review". The Carolinian. Retrieved October 20, 2018.
  23. ^ Fitzmaurice, Larry (October 10, 2018). "Why Do People Love to Hate Twenty One Pilots?". Vulture. Retrieved October 20, 2018.
  24. ^ Parker, Jack (October 5, 2018). "Twenty One Pilots' Trench: An Insight Into 2018's Hottest Record". All Things Loud. Retrieved December 31, 2018.
  25. ^ Kennedy, Mark (October 5, 2018). "Review: Twenty One Pilots score again with another genre-bending album, 'Trench'". USA Today. Retrieved October 7, 2018.
  26. ^ Ryan, Gary (July 11, 2018). "The Big Read – Twenty One Pilots: "We want to be the best – and keep everyone else at bay"". NME. Retrieved October 7, 2018.
  27. ^ Copperman, Joshua (October 12, 2018). "Twenty One Pilots Get Sensitive on 'Trench'". PopMatters. Retrieved October 12, 2018.
  28. ^ Unterberger, Andrew (September 13, 2019). "What We Know About: Twenty One Pilots' New Album". Billboard. Retrieved November 19, 2018.
  29. ^ Media, ReFrame (May 25, 2020). "The Spiritual Pilgrimage of Twenty One Pilots' Trench". Think Christian. Retrieved May 27, 2020.
  30. ^ Copperman, Joshua (July 11, 2018). "Twenty One Pilots Release Two New Songs, Announce Album and Tour". Spin. Retrieved May 27, 2020.
  31. ^ Reed, Ryan (July 11, 2018). "Hear Twenty One Pilots' New Songs 'Jumpsuit,' 'Nico and the Niners'". Rolling Stone. Retrieved July 11, 2018.
  32. ^ Levy, Piet (October 21, 2018). "Twenty One Pilots pull out all the stops at explosive 'Bandito Tour' show in Milwaukee". Milwaukee Journal Sentinel. Retrieved May 6, 2020.
  33. ^ Janes, Theoden (June 13, 2019). "Concert review: Was that really the best Twenty One Pilots could do? (TBH, probably.)". The Charlotte Observer.
  34. ^ Spera, Keith (June 20, 2019). "Review: Twenty One Pilot recycled some tricks, but they were still entertaining at New Orleans concert". NOLA.com. Retrieved May 25, 2020.
  35. ^ Pettigrew, Jason (September 26, 2019). "twenty one pilots songs ranked in all of their pop majesty". Alternative Press. Retrieved June 1, 2020.
  36. ^ Payne, Chris (October 5, 2018). "Twenty One Pilots Continue to Defy Critics on Surprisingly Cohesive 'Trench': Album Review". Billboard. Retrieved July 1, 2019.
  37. ^ Deville, Chris (October 11, 2018). "Twenty One Pilots May Not Be For You (Because They're For Everyone)". Stereogum. Retrieved February 8, 2020.
  38. ^ Legaspi, Althea (August 28, 2018). "Hear Twenty One Pilots' Groove-Driven Song 'My Blood'". Rolling Stone. Archived from the original on August 31, 2018. Retrieved October 7, 2018.
  39. ^ "Review: Twenty-One Pilots Bring Energy-Packed Bandito Tour to St. Paul". KSTP. October 22, 2018. Archived from the original on June 8, 2020. Retrieved May 27, 2020.
  40. ^ "Radio 104.5 Live On-Air Schedule – Ayo, Cole & more". Radio 104.5. Archived from the original on April 3, 2015. Retrieved October 7, 2018.
  41. ^ Ryan, Gary (October 5, 2018). "Twenty One Pilots – 'Trench' review". NME. Retrieved October 5, 2018.
  42. ^ Pettigrew, Jason (October 6, 2018). "Choosing life: twenty one pilots avoid the glow of "Neon Gravestones"". Alternative Press. Retrieved October 7, 2018.
  43. ^ Kornhaber, Spencer (October 5, 2018). "Twenty One Pilots Interrogate the Rock-and-Roll Suicide". The Atlantic. Retrieved October 7, 2018.
  44. ^ Weingarten, Christopher R. (October 5, 2018). "Review: Twenty One Pilots Still Stressed, More Cohesive on 'Trench'". Rolling Stone. Retrieved October 7, 2018.
  45. ^ Riddell, Rose (October 5, 2018). "Interview: Twenty One Pilots on their new album, 'Trench'". Coup de Main Magazine. Retrieved October 7, 2018.
  46. ^ Reed, Ryan (July 11, 2018). "Hear Twenty One Pilots' New Songs". Rolling Stone. Retrieved July 20, 2018.
  47. ^ Stumme, Clifford (June 24, 2019). "What does "Cut My Lip" by Twenty One Pilots mean?". The Pop Song Professor. Retrieved July 5, 2019.
  48. ^ "Twenty One Pilots May Not Be For You (Because They're For Everyone)". Stereogum. October 11, 2018. Retrieved May 27, 2020.
  49. ^ Crown, Kassidy. "Twenty One Pilots' Bandito Tour Review". The Falcon. Retrieved May 27, 2020.
  50. ^ Pettigrew, Jason (September 26, 2019). "twenty one pilots songs ranked in all of their pop majesty". Alternative Press. Retrieved May 27, 2020.
  51. ^ Pettigrew, Jason (October 8, 2018). "twenty one pilots' crisis of faith results in "Leave The City"". Alternative Press. Retrieved October 9, 2018.
  52. ^ Karpinski, Kelsi (June 19, 2021). "'Scaled and Icy' Continues the Lore of Twenty One Pilots With Questionable Success". Study Breaks. Retrieved March 1, 2024.
  53. ^ Kreps, Daniel (February 29, 2024). "Twenty One Pilots Conclude Decade-Long Narrative With New Album 'Clancy'". Rolling Stone. Retrieved February 29, 2024.
  54. ^ "And the winners of the 2017 APMAs are..." Alternative Press. July 17, 2017. Retrieved October 14, 2018.
  55. ^ Williams, Paige (July 12, 2018). "Twenty One Pilots' 'Trench': Decoding the Clues They've Left About Their New Album". Billboard. Retrieved October 14, 2018.
  56. ^ Paxton, Whitney (April 22, 2018). "TOP fans have a theory, and it just might blow your mind". Alternative Press. Retrieved December 18, 2019.
  57. ^ Owens, Paige (October 5, 2019). "Op-Ed: twenty one pilots built a world unlike any other on 'Trench'". Alternative Press. Retrieved December 18, 2019.
  58. ^ "clancy.php". dmaorg.info. Retrieved October 15, 2018.
  59. ^ "_he_a_vy_.jpg". dmaorg.info. Retrieved October 15, 2018.
  60. ^ Loughrey, Clarisse (July 7, 2018). "Twenty One Pilots tease new music in cryptic email to fans". The Independent. Retrieved October 15, 2018.
  61. ^ Rincón, Alessandra (July 9, 2019). "Twenty One Pilots Billboards Popped Up Overnight". Billboard. Retrieved August 11, 2018.
  62. ^ Park, Andrea (July 11, 2018). "Twenty One Pilots break yearlong silence with new songs, world tour". CBS News. Retrieved October 15, 2018.
  63. ^ "twenty one pilots on Twitter". July 10, 2018. Retrieved October 15, 2018 – via Twitter.
  64. ^ Rutherford, Kevin (July 19, 2018). "Twenty One Pilots Return to Rock Charts With 'Jumpsuit' & 'Nico and the Niners'". Billboard. Retrieved November 14, 2018.
  65. ^ Rincón, Alessandra (August 8, 2018). "Twenty One Pilots Reveal 'Trench' Track List". Billboard. Retrieved November 14, 2018.
  66. ^ "twenty one pilots on Twitter: "exclusive circles that play music..."". September 14, 2018. Retrieved September 14, 2018 – via Twitter.
  67. ^ "twenty one pilots Announce hmv In-Store Signings — Kerrang!". Kerrang!. October 1, 2018. Retrieved October 12, 2018.
  68. ^ Skinner, Tom (October 2, 2018). "Twenty One Pilots announce in-store signings to celebrate release of 'Trench'". NME. Retrieved October 12, 2018.
  69. ^ Farrell, Paul (October 3, 2018). "Has Twenty One Pilots' Album 'Trench' Leaked? Yes". Heavy.com. Retrieved October 16, 2018.
  70. ^ Jamieson, Brii (October 3, 2018). "Twenty One Pilots' Josh Dun Is Hosting A Livestream Chat Today". Rock Sound. Archived from the original on October 5, 2018. Retrieved October 5, 2018.
  71. ^ Pillow Pilots (October 3, 2018). "JOSH'S INSTAGRAM LIVESTREAM – (Full Stream) Twenty One Pilots Trench". Retrieved October 5, 2018 – via YouTube.
  72. ^ "Twenty One Pilots Take Flight With New Album 'Trench': Stream It Now". Billboard. October 5, 2018. Retrieved October 5, 2018.
  73. ^ Twenty One Pilots (October 5, 2018). "twenty one pilots – My Blood". Retrieved October 5, 2018 – via YouTube.
  74. ^ "Elektra Music Group Marks Official Launch by Unveiling Remainder of Leadership Team – Warner Music Group Official Blog". Warner Music Group. October 3, 2018. Retrieved October 8, 2018.
  75. ^ Kaufman, Gil (October 8, 2018). "Twenty One Pilots Ready to Take on Lady Gaga With 'A Star is Born' Spoof Poster". Billboard. Retrieved October 9, 2018.
  76. ^ Campbell, Rachel (December 14, 2018). "Here's what we learned from twenty one pilots' Bandito experience". Alternative Press. Retrieved December 15, 2018.
  77. ^ Aniftos, Ranio (December 13, 2018). "Twenty One Pilots Unveil Immersive 'Bandito' Video With Spotify: Watch". Billboard. Retrieved December 15, 2018.
  78. ^ Darus, Alex (January 23, 2019). "twenty one pilots kick off Sessions with "Chlorine" stripped". Alternative Press. Retrieved July 11, 2019.
  79. ^ Jamieson, Brii (July 11, 2019). "Twenty One Pilots Have Dropped A Re-Imagined Version Of 'Cut My Lip'". Rock Sound. Archived from the original on July 11, 2019. Retrieved July 11, 2019.
  80. ^ "Welcome Twenty One Pilots To The Cover Of Rock Sound". Rock Sound. September 7, 2018. Archived from the original on October 5, 2018. Retrieved October 5, 2018.
  81. ^ Pettigrew, Jason (September 10, 2018). "Eight years in and twenty one pilots are still worried". Alternative Press. Retrieved October 5, 2018.
  82. ^ "K!1742 –twenty one pilots: The Comeback Of The Year". Kerrang!. October 2, 2018. Retrieved October 9, 2018.
  83. ^ "twenty one pilots Have Just Announced A new Album And Massive World Tour! – Kerrang!". Kerrang!. July 11, 2018. Retrieved July 13, 2018.
  84. ^ Williams, Paige (July 30, 2018). "Decoding Twenty One Pilots' 'Nico and the Niners' Music Video". Billboard. Retrieved July 5, 2019.
  85. ^ Kaufman, Gil (July 26, 2018). "Twenty One Pilots Hint at Rebel Uprising in Cryptic 'Nico and the Niners' Video: Watch". Billboard. Retrieved July 5, 2019.
  86. ^ "12 Best Music Videos Of 2018". Kerrang!. Retrieved July 6, 2019.
  87. ^ "twenty one pilots on Twitter: "a thank you goes to..."". August 8, 2018. Retrieved August 8, 2018 – via Twitter.
  88. ^ Beth, Casteel (July 8, 2018). "Twenty One Pilots release final video 'Trench' trilogy, drop new song "Levitate"". Alternative Press. Retrieved July 5, 2019.
  89. ^ Andrew, Unterberger (August 20, 2018). "Twenty One Pilots Release Snippet of New Song in 'Trench' Commercial During 2018 VMAs". Billboard. Retrieved July 5, 2019.
  90. ^ Apaza, Kevin (August 28, 2018). "Twenty One Pilots Unleash New Song "My Blood": Listen Here!". Directlyrics. Retrieved July 5, 2019.
  91. ^ Legaspi, Althea (August 28, 2018). "Hear Twenty One Pilots' Groove-Driven Song 'My Blood'". Rolling Stone. Archived from the original on August 31, 2018. Retrieved July 5, 2019.
  92. ^ Kaufman, Gil (October 5, 2018). "Twenty One Pilots Channel 'Fight Club' in Emotional 'My Blood' Video: Watch". Billboard. Retrieved July 5, 2019.
  93. ^ Reed, Ryan (October 5, 2018). "Twenty One Pilots Salute Sibling Bond in Dramatic 'My Blood' Video". Rolling Stone. Retrieved October 5, 2018.
  94. ^ Hannan, Devon (January 22, 2019). "Twenty One Pilots unleash "Chlorine" music video, introduce "Ned"". Alternative Press. Retrieved January 22, 2019.
  95. ^ Reed, Ryan (January 23, 2019). "Watch Twenty One Pilots' Cryptic, Poolside 'Chlorine' Video". Rolling Stone. Retrieved January 23, 2019.
  96. ^ "Future Releases on Alternative Radio Stations". Archived from the original on July 5, 2019. Retrieved July 3, 2019.
  97. ^ Jamieson, Brii (July 11, 2018). "Twenty One Pilots Have Announced Their New Album, 'Trench'!". Rock Sound. Archived from the original on July 11, 2018. Retrieved July 11, 2018.
  98. ^ Nattress, Katrina (September 26, 2018). "Twenty One Pilots Announce The Bandito Tour Openers – iHeartRadio". iHeartRadio. Retrieved November 23, 2018.
  99. ^ twenty one pilots (August 19, 2018). "twenty one pilots: A Complete Diversion – London Performance". Retrieved August 21, 2018 – via YouTube.
  100. ^ Mamo, Heran (July 11, 2018). "Here Are the Lyrics to Twenty One Pilots' 'Nico and the Niners'". Billboard. Retrieved October 12, 2018.
  101. ^ Mylrea, Hannah (September 13, 2018). "Everything that went down at Twenty One Pilots' Brixton show". NME. Retrieved October 9, 2018.
  102. ^ Casteel, Beth (July 11, 2018). "Twenty One Pilots announce the 'Bandito' tour". Alternative Press. Retrieved April 13, 2019.
  103. ^ Natasha, Heinz (October 17, 2018). "twenty one pilots' Bandito tour has started and it looks incredible". Alternative Press. Retrieved April 13, 2019.
  104. ^ Legaspi, Althea (October 2, 2018). "Twenty One Pilots Announce Second Leg of 'Bandito Tour'". Rolling Stone. Retrieved October 19, 2018.
  105. ^ Natasha, Heinz (October 9, 2018). "twenty one pilots add show to Bandito tour". Alternative Press. Retrieved October 19, 2018.
  106. ^ "Twenty One Pilots Announce New Act U.S. Headline "Bandito Tour" Dates". July 11, 2019. Retrieved July 11, 2019.
  107. ^ "Trench lands Twenty One Pilots first ARIA #1". Australian Recording Industry Association. October 13, 2018. Retrieved October 13, 2018.
  108. ^ "NZ Top 40 Albums Chart". Recorded Music NZ. October 15, 2018. Retrieved October 12, 2018.
  109. ^ "Top 100 Albumes – Semana 41: del 5.10.2018 al 11.10.2018" (in Spanish). Productores de Música de España. Retrieved October 17, 2018.
  110. ^ "Portuguesecharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 17, 2018.
  111. ^ "Czech Albums – Top 100". ČNS IFPI. Note: On the chart page, select 41.Týden 2018 on the field besides the words "CZ – ALBUMS – TOP 100" to retrieve the correct chart. Retrieved 17 October 2018.
  112. ^ "Top 100 México – Los más vendidos 2018" (in Spanish). Asociación Mexicana de Productores de Fonogramas y Videogramas. Archived from the original on January 24, 2019. Retrieved January 24, 2019.
  113. ^ "Jaaroverzichten – Album 2018" (in Dutch). MegaCharts. Retrieved January 5, 2019.
  114. ^ Caulfield, Keith (October 14, 2018). "Lady Gaga & Bradley Cooper's 'A Star Is Born' Soundtrack Debuts at No. 1 on Billboard 200 Albums Chart". Billboard. Retrieved October 15, 2018.
  115. ^ Caulfield, Keith. "'A Star Is Born' Soundtrack Heading for No. 1 Debut on Billboard 200 Albums Chart". Billboard. Retrieved October 12, 2018.
  116. ^ Caulfield, Keith (October 21, 2018). "'A Star Is Born' Soundtrack Spends Second Week at No. 1 on Billboard 200 Chart". Billboard. Retrieved October 22, 2018.
  117. ^ Rutherford, Kevin (October 29, 2018). "Twenty One Pilots' Trench' Rules Top Rock Albums, Entire Set Hits Top 25 of Hot Rock Songs Chart". Billboard. Retrieved October 19, 2018.
  118. ^ "A Star Is Reborn At No. 1 On This Week's Albums Chart". FYIMusicNews. October 15, 2018. Retrieved October 16, 2018.
  119. ^ White, Jack (October 8, 2018). "It's Twenty One Pilots vs A Star Is Born on this week's Official Albums Chart". Official Charts Company. Retrieved October 15, 2018.
  120. ^ Myers, Justin (October 12, 2018). "Lady Gaga tops Official Albums Chart for fourth time thanks to A Star Is Born". Official Charts Company. Retrieved October 12, 2018.
  121. ^ Beech, Mark. "Lady Gaga And Bradley Cooper's 'A Star Is Born' Soundtrack Is Set To Top The Charts". Forbes. Retrieved October 12, 2018.
  122. ^ "Chart Success: British number two debut for mainstream hitmakers Twenty One Pilots". crossrhythms.co.uk. October 11, 2018. Retrieved October 23, 2018.
  123. ^ Ruelle, Yohann (October 15, 2018). "Top Albums : Trois Cafés Gourmands détrône Mylène Farmer, Angèle devant Lady Gaga". Purebreak Charts (in French). Retrieved October 15, 2018.
  124. ^ "Gold & Platinum". RIAA. Retrieved January 1, 2019.
  125. ^ Goeman, Collin (January 12, 2019). "12 artists who quietly went platinum and gold in December". Alternative Press. Retrieved October 12, 2018.
  126. ^ Caulfield, Keith (January 17, 2019). "U.S. Cassette Album Sales Grew 23% in 2018, Aided by Britney Spears, 'Guardians,' Twenty One Pilots & More". Billboard. Retrieved January 18, 2019.
  127. ^ Heinz, Natasha (January 18, 2019). "twenty one pilots' 'Trench' helped boost cassette sales in 2018". Alternative Press. Retrieved January 18, 2019.
  128. ^ "Trench by Twenty One Pilots". Metacritic. Retrieved October 9, 2018.
  129. ^ Hayter, David (October 9, 2018). "Twenty One Pilots – Trench Review". 411 Mania. Archived from the original on October 12, 2018. Retrieved September 9, 2019.
  130. ^ Yeung, Neil Z. "Trench – Twenty One Pilots". AllMusic. Retrieved October 5, 2018.
  131. ^ Taylor, Damon (October 4, 2018). "Album Review: Twenty One Pilots – Trench". Dead Press. Archived from the original on December 7, 2019. Retrieved October 7, 2018.
  132. ^ Cosgrove, Jo (November 2, 2018). "Twenty-One Pilots 'Trench'". GIG Soup. Archived from the original on April 1, 2019. Retrieved February 25, 2019.
  133. ^ Keegan, Stephen (October 30, 2018). "Album: Twenty-One Pilots, Trench". Hot Press. Retrieved October 30, 2018.
  134. ^ McLaughlin, David (October 13, 2018). "Digging Deep". Kerrang!: 54. Retrieved October 12, 2018.
  135. ^ Weingarten, Christopher R. (October 5, 2018). "Review: Twenty One Pilots Still Stressed, More Cohesive on 'Trench'". Rolling Stone. Retrieved October 5, 2018.
  136. ^ Mahony, Vicki (October 5, 2018). "Spill Album Review: Twenty One Pilots – Trench". The Spill Magazine. Retrieved April 1, 2019.
  137. ^ "The 50 best albums of 2018". Alternative Press. December 18, 2018. Retrieved December 20, 2018.
  138. ^ "Billboard – 50 Best Albums of 2018: Critics' Picks". Billboard. December 10, 2018. Retrieved December 10, 2018.
  139. ^ "Billboard – 25 Best Rock Albums of 2018: Critics' Picks". Billboard. December 20, 2018. Retrieved December 20, 2018.
  140. ^ Nattress, Katrina (December 21, 2018). "Top 10 ALT Albums of 2018". iHeartRadio. Retrieved July 5, 2019.
  141. ^ "The 50 Albums That Shook 2018 — Kerrang!". Kerrang!. December 18, 2018. Retrieved December 19, 2018.
  142. ^ "Introducing Your 2018 Rock Sound Awards Winners". Rock Sound. November 30, 2018. Archived from the original on April 7, 2020. Retrieved December 1, 2018.
  143. ^ "Trench 10" Triplets Vinyl Bundle". store.twentyonepilots.com. Archived from the original on December 5, 2018. Retrieved August 21, 2018.
  144. ^ "Australiancharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 13, 2018.
  145. ^ "Austriancharts.at – Twenty One Pilots – Trench" (in German). Hung Medien. Retrieved October 18, 2018.
  146. ^ "Ultratop.be – Twenty One Pilots – Trench" (in Dutch). Hung Medien. Retrieved October 12, 2018.
  147. ^ "Ultratop.be – Twenty One Pilots – Trench" (in French). Hung Medien. Retrieved October 12, 2018.
  148. ^ "Twenty One Pilots Chart History (Canadian Albums)". Billboard. Retrieved October 15, 2018.
  149. ^ "Hitlisten.NU – Album Top-40 Uge 41, 2018". Hitlisten. Retrieved October 17, 2018.
  150. ^ "Dutchcharts.nl – Twenty One Pilots – Trench" (in Dutch). Hung Medien. Retrieved October 12, 2018.
  151. ^ "Twenty One Pilots: Trench" (in Finnish). Musiikkituottajat – IFPI Finland. Retrieved October 14, 2018.
  152. ^ "Lescharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 15, 2016.
  153. ^ "Offiziellecharts.de – Twenty One Pilots – Trench" (in German). GfK Entertainment Charts. Retrieved October 12, 2018.
  154. ^ "Official IFPI Charts – Top-75 Albums Sales Chart – Week: 43/2018". IFPI Greece. Archived from the original on November 5, 2018. Retrieved November 5, 2018.
  155. ^ "Album Top 40 slágerlista – 2018. 41. hét" (in Hungarian). MAHASZ. Retrieved October 18, 2018.
  156. ^ "Tónlistinn – Plötur – Vika 41 – 2018" (in Icelandic). Plötutíðindi. Archived from the original on October 22, 2018.
  157. ^ "Irish Albums Chart: 12 October 2018". Irish Recorded Music Association. Retrieved October 13, 2018.
  158. ^ "Album – Classifica settimanale WK 41 (dal 2018-10-05 al 2018-10-11)" (in Italian). Federazione Industria Musicale Italiana. Retrieved October 13, 2018.
  159. ^ "Trench on Billboard Japan Hot Albums". Billboard Japan (in Japanese). Retrieved September 22, 2020.
  160. ^ "Twenty One Pilots". Oricon. Retrieved September 22, 2020.
  161. ^ "2018 41-os SAVAITĖS (spalio 5-11 d.) ALBUMŲ TOP100" (in Lithuanian). AGATA. October 12, 2018. Archived from the original on October 9, 2019. Retrieved April 3, 2021.
  162. ^ "Norwegiancharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 13, 2018.
  163. ^ "Oficjalna lista sprzedaży :: OLiS - Official Retail Sales Chart". OLiS. Polish Society of the Phonographic Industry. Retrieved October 18, 2018.
  164. ^ "Official Scottish Albums Chart Top 100". Official Charts Company. Retrieved October 13, 2018.
  165. ^ "Slovak Albums – Top 100". ČNS IFPI. Retrieved June 20, 2024.
  166. ^ "Swedishcharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 13, 2018.
  167. ^ "Swisscharts.com – Twenty One Pilots – Trench". Hung Medien. Retrieved October 17, 2018.
  168. ^ "Official Albums Chart Top 100". Official Charts Company. Retrieved October 13, 2018.
  169. ^ "Twenty One Pilots Chart History (Billboard 200)". Billboard. Retrieved October 20, 2018.
  170. ^ "Twenty One Pilots Chart History (Top Alternative Albums)". Billboard. Retrieved October 20, 2018.
  171. ^ "Twenty One Pilots Chart History (Top Rock Albums)". Billboard. Retrieved October 20, 2018.
  172. ^ "Twenty One Pilots Chart History (Top Tastemaker Albums)". Billboard. Retrieved October 20, 2018.
  173. ^ "ARIA End of Year Albums 2018". Australian Recording Industry Association. Retrieved January 10, 2019.
  174. ^ "Jaaroverzichten 2018". Ultratop. Retrieved March 24, 2021.
  175. ^ "Rapports Annuels 2018". Ultratop. Retrieved March 24, 2021.
  176. ^ "Top 100 Albums Annual 2018". El portal de Música. Retrieved January 21, 2022.
  177. ^ "End of Year Album Chart Top 100 – 2018". Official Charts Company. Retrieved January 4, 2019.
  178. ^ "Top Billboard 200 Albums – Year-End 2018". Billboard. Retrieved December 4, 2018.
  179. ^ "Top Rock Albums – Year-End 2018". Billboard. Retrieved December 4, 2018.
  180. ^ "Jaaroverzichten 2019". Ultratop. Retrieved December 20, 2019.
  181. ^ "Rapports Annuels 2019". Ultratop. Retrieved December 20, 2019.
  182. ^ "Jaaroverzichten – Album 2019". dutchcharts.nl. Retrieved January 5, 2020.
  183. ^ "Top 100 México - Los más vendidos 2019" (in Spanish). Asociación Mexicana de Productores de Fonogramas y Videogramas. Archived from the original on January 25, 2020. Retrieved January 25, 2020.
  184. ^ "Top Billboard 200 Albums – Year-End 2019". Billboard. Retrieved January 14, 2020.
  185. ^ "Top Rock Albums – Year-End 2019". Billboard. Retrieved June 24, 2020.
  186. ^ "Top Rock Albums – Year-End 2020". Billboard. Retrieved January 5, 2021.
  187. ^ "ARIA Charts – Accreditations – 2022 Albums" (PDF). Australian Recording Industry Association. Retrieved September 5, 2022.
  188. ^ "Austrian album certifications – Twenty One Pilots – Trench" (in German). IFPI Austria. Retrieved October 21, 2020.
  189. ^ "Brazilian album certifications – Twenty One Pilots – Trench" (in Portuguese). Pro-Música Brasil. Retrieved September 23, 2020.
  190. ^ "Canadian album certifications – Twenty One Pilots – Trench". Music Canada. Retrieved September 17, 2020.
  191. ^ "Danish album certifications – Twenty One Pilots – Trench". IFPI Danmark. Retrieved July 1, 2024.
  192. ^ "French album certifications – Twenty One Pilots – Trench" (in French). Syndicat National de l'Édition Phonographique. Retrieved October 29, 2022.
  193. ^ "Italian album certifications – Twenty One Pilots – Trench" (in Italian). Federazione Industria Musicale Italiana. Retrieved February 15, 2021.
  194. ^ "Certificaciones" (in Spanish). Asociación Mexicana de Productores de Fonogramas y Videogramas. Retrieved October 28, 2019. Type Twenty One Pilots in the box under the ARTISTA column heading and Trench in the box under the TÍTULO column heading.
  195. ^ "Wyróżnienia – Platynowe płyty CD - Archiwum - Przyznane w 2021 roku" (in Polish). Polish Society of the Phonographic Industry. Retrieved March 10, 2021.
  196. ^ "British album certifications – Twenty One Pilots – Trench". British Phonographic Industry. June 21, 2019. Retrieved June 22, 2019.
  197. ^ "American album certifications – Twenty One Pilots – Trench". Recording Industry Association of America. Retrieved May 14, 2020.
  198. ^ "Trench by twenty one pilots". Apple Music. Retrieved July 31, 2019.
  199. ^ "twenty one pilots – Trench – Amazon.com Music". Amazon.com. Retrieved July 31, 2019.
  200. ^ "twenty one pilots – Trench (2LP w/Digital download) – Amazon.com Music". Amazon.com. Retrieved July 31, 2019.
  201. ^ "twenty one pilots – Trench (Cassette) – Amazon.com Music". Amazon.com. Retrieved July 31, 2019.
  1. ^ Simone Weil was not a member of the group; she was a philosopher, not a mathematician. However she attended multiple early conferences to support her brother André, and also to learn mathematics.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Trench_(album)&oldid=1258540922"