Pith. sign in

Paper Citation Record · LEDGER

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2411.17359.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.17359 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:27:46.203475Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-14T00:24:30.334357Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-14T00:28:30.015885Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2228daf0-cc94-4194-9014-e60e878539fd · outbound

This paper cites August, On the finiteness of the derived equivalence classes of some stable endomorphism rings, Math.\ Z.\ 296 (2020), no.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications August, On the finiteness of the derived equivalence classes of some stable endomorphism rings, Math.\ Z.\ 296 (2020), no

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.642759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.076257Z digest=sha256:65d5ece9ff73e42139f5528ebee3985cbf4a3c4871c13f1cc73e0406f98220cc

Observation d6b7660b-eee0-4705-b8ae-0e0bdbda009d · outbound

This paper cites Booth, Singularity categories via the derived quotient, Adv.\ Math.\ 381 (2021), Paper No.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Booth, Singularity categories via the derived quotient, Adv.\ Math.\ 381 (2021), Paper No

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.628480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.082301Z digest=sha256:3758bf221519bb4d771ed0105e412e3c91bea78b0aea86f180eab5de5a06aad0

Observation c83437ba-32f1-499e-bbe7-eac0006f7f1a · outbound

This paper cites Cartan and S.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Cartan and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.613528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.087100Z digest=sha256:703655d1b12881bfbeeb2fde46664a94e827b9c87295ad2bbcb0a311c98ee8cb

Observation cd0f53a8-9e50-4adc-b7ad-de3d1601ee23 · outbound

This paper cites Canonaco, M.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Canonaco, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.598784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.091596Z digest=sha256:438d4d2d5a43da7c48d2ae5b31e59eb344f94c7303982c392b9709e44da0b999

Observation 2d343eaf-751b-44a7-a8b3-7a18966938fe · outbound

This paper cites Localizations of the categories of $A_\infty$ categories and internal Homs over a ring.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Localizations of the categories of $A_\infty$ categories and internal Homs over a ring

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T12:27:46.096435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:27:46.096435Z digest=sha256:b44036527543d3cc1983291c1e1015e85baf44e415ea109adb062ffbb66730cd

Observation 81522420-3519-4b0b-8bfa-9d3d485e10a1 · outbound

This paper cites Donovan and M.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Donovan and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.584231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.102041Z digest=sha256:4fe21c56c37f5fd54a020e2f0051407ab7787a5c0ca12576e7bffe74e1995fd2

Observation b7ae722c-fc2f-4b84-9136-0ad2d70d6a7e · outbound

This paper cites Donovan and M.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Donovan and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.569351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.107228Z digest=sha256:c22fcc97e47fd1c8fa52b1c7dffe40f757722daf6c179bff0c2ffae1fc604b05

Observation 52fc72a6-d9e2-455c-8ef7-8f62788b69e1 · outbound

This paper cites Dugas, Periodicity of d -cluster tilted algebras, J.\ Alg.\ 368 (15) 2012, 40--52.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Dugas, Periodicity of d -cluster tilted algebras, J.\ Alg.\ 368 (15) 2012, 40--52

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.555148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.112762Z digest=sha256:e51d19a2a54a45bc29aefed0f97666ec78f420a561e708b2627856e19ef93b32

Observation db1ce0f9-24ef-41a3-a3e2-8afebafc93ea · outbound

This paper cites an unresolved cited work.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:27:46.539819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.117388Z digest=sha256:507c736a0b01ccc6b48a96db8c4a653dc4d2deef11842b7fd5a9b484802cb279

Observation c761cdc8-907e-4eb2-ae38-38ace719b1bf · outbound

This paper cites Hua and B.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Hua and B

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.524012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.121956Z digest=sha256:b56fca8ce33c826a1467126b1d3b624697873a289592a72c1af2cf75b5a85c1c

Observation 13a6a5c1-f04e-48c6-869d-d70fd4f4b33a · outbound

This paper cites Iyama and I.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Iyama and I

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.508538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.126541Z digest=sha256:35090e280d792b87b37539c4e8b8b0b579f4b896c93c351342e709d72f420b0c

Observation 657bb4bd-031b-406e-add0-892bf2957eb6 · outbound

This paper cites The Derived Auslander-Iyama Correspondence.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications The Derived Auslander-Iyama Correspondence

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T12:27:46.131089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:27:46.131089Z digest=sha256:f69c40fad0c4ae9b1e6866eba54846cea80fbd9ecd7f307d8c80b96faf010533

Observation 34fe626f-a56d-4f18-8e4d-7e1d8648ecc2 · outbound

This paper cites an unresolved cited work.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:27:46.494147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.136326Z digest=sha256:a86955606df16bd3c91df0221d6c14da4923247eaddeb1997d49992983800e77

Observation 6feaf423-8dd3-42f1-a6fa-1b5d0e4ebda9 · outbound

This paper cites Kalck and D.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Kalck and D

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.480307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.141022Z digest=sha256:b2a0df47ad7e0c25baeea757cd958ae00f73025eef298d7e8889a7650860c61e

Observation f0f021b5-c1ea-4287-8961-4586dd07260b · outbound

This paper cites Keller, Deriving DG categories, Ann.\ Sci.\ \'Ecole Norm.\ Sup.\ (4) 27 (1994), no.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Keller, Deriving DG categories, Ann.\ Sci.\ \'Ecole Norm.\ Sup.\ (4) 27 (1994), no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.466391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.145709Z digest=sha256:8f9a073cb8c2ea4bc51961400208a92cb9e3cb89ec7084ece1a49d3f819fd9bd

Observation f62f45fd-36d2-4a4f-92c6-c8e764b14f26 · outbound

This paper cites Koenig, J.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Koenig, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.451468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.150164Z digest=sha256:167697586d1527c13345ab17556c676ea416ac9cca52272570ccc228316f0513

Observation a8b343ab-6bfe-4bd9-8947-4a76f695d8c6 · outbound

This paper cites K\"ulshammer, In the bocs seat: quasi-hereditary algebras and representation type, Representation theory--current trends and perspectives, 375--426.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications K\"ulshammer, In the bocs seat: quasi-hereditary algebras and representation type, Representation theory--current trends and perspectives, 375--426

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.436378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.154433Z digest=sha256:6f1a9dab78a82a24d1c86bbf1ce898dac61676a9c6638bcda2564d27dba76b08

Observation 0e43448c-383a-4d31-a4f2-94b0b0d4613d · outbound

This paper cites Sur les A-infini cat\'egories.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Sur les A-infini cat\'egories

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T12:27:46.158886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:27:46.158886Z digest=sha256:55577a9ed119353702ee566a21a5db70dc374b5402def646d7735375aadc07a9

Observation 5b45d2a2-39e3-48c4-b345-4f90f6fb5d23 · outbound

This paper cites Loday and B.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Loday and B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.420983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.163656Z digest=sha256:4e3b89a034163b2b43d5bb9e695489c1ec4e2f04c3c3a6d79a9471e4739cfc4d

Observation d62dd8d8-0279-4a17-93c9-4d60d626b921 · outbound

This paper cites an unresolved cited work.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T12:27:46.405093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.168092Z digest=sha256:2beb23000b7fd8e29088d21b78e47744afd188473aed0523d820e63e13e8b07e

Observation 5a664763-93ce-46a4-a30c-7611bb4cee7c · outbound

This paper cites Markl, Transferring A_ (strongly homotopy associative) structures.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Markl, Transferring A_ (strongly homotopy associative) structures

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.389208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.172539Z digest=sha256:c1c954b6c9bc220377f205d9335e8892d0a0e13f9e1c992d8cae57e98b34ac0d

Observation 6279e3d7-2c99-474b-bd1d-42bb7e1649d7 · outbound

This paper cites Ovsienko, Bimodule and matrix problems.Computational methods for representations of groups and algebras, (Essen, 1997), 323--357.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Ovsienko, Bimodule and matrix problems.Computational methods for representations of groups and algebras, (Essen, 1997), 323--357

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.373377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.176864Z digest=sha256:3f9a896f6d01764f3dcbfa1f006f4b49d7cca8659a886d62e56411761be94405

Observation 9458d482-b621-449a-a363-86d2606f2b14 · outbound

This paper cites Rodriguez Rasmussen, Uniqueness up to Inner Automorphism of Regular Exact Borel Subalgebras, Adv.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Rodriguez Rasmussen, Uniqueness up to Inner Automorphism of Regular Exact Borel Subalgebras, Adv

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.357889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.181210Z digest=sha256:48927102515b65d409f4c11374933db0ff91e0094571d6fc1e921915e3a34262

Observation 201af5ea-3832-49f0-89af-e1aff752d523 · outbound

This paper cites Seidel, Fukaya Categories and Picard--Lefschetz Theory, Zur.\ Lect.\ Adv.\ Math.\, European Mathematical Society (EMS), Z\"urich, 2008.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Seidel, Fukaya Categories and Picard--Lefschetz Theory, Zur.\ Lect.\ Adv.\ Math.\, European Mathematical Society (EMS), Z\"urich, 2008

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.342586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.185660Z digest=sha256:0a50346212cc1a4032863d6effd8b23beda88d99ac9ba370d8236f2c8326e443

Observation 51576da1-2eba-48e5-9483-78e5050d3228 · outbound

This paper cites Seidel, Fukaya Categories and Picard--Lefschetz Theory, Erratum to Lemma 2.1, https://math.mit.edu/ seidel/errata/strictly-unital.pdf.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Seidel, Fukaya Categories and Picard--Lefschetz Theory, Erratum to Lemma 2.1, https://math.mit.edu/ seidel/errata/strictly-unital.pdf

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.327813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.190108Z digest=sha256:5d60b2ac9d1a941f477e3c03a6d340de94d08c9592205da5908457bfb0029aa8

Observation 521a0c2c-787f-4c7c-83f9-56813c556755 · outbound

This paper cites Seidel and R.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Seidel and R

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.312361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.194522Z digest=sha256:766379fc8c3a41d62410306e34893d79818458b0f3bb92dc0fd72ddba1ebca39

Observation 2066f709-7592-4f07-a309-6639c0708dc9 · outbound

This paper cites Van den Bergh, Three-dimensional flops and noncommutative rings, Duke Math.\ J.\ 122 (2004), no.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Van den Bergh, Three-dimensional flops and noncommutative rings, Duke Math.\ J.\ 122 (2004), no

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-12T12:27:46.198936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:27:46.198936Z digest=sha256:e37cb94ebf28565497eaf9a77f8f21dd28ef2f8f42f26b51323bf9d3ce143a5b

Observation bf83e73c-27fe-4c55-9254-281eb60b5ac3 · outbound

This paper cites Yoneda, On the homology theory of modules, J.\ Fac.\ Sci.\ Univ.\ Tokyo Sect.\ I 7 (1954), 193--227.

Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications Yoneda, On the homology theory of modules, J.\ Fac.\ Sci.\ Univ.\ Tokyo Sect.\ I 7 (1954), 193--227

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T12:27:46.286389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T12:27:46.203475Z digest=sha256:d45ab4c79102a32f0488d1878819fb14bfceb58a4d0a601a71261379c6db2452

Pith citing papers

Observation 21951899-70e4-4976-a8b6-fb6f2b017845 · inbound

Lectures on singularity categories cites this paper.

Lectures on singularity categories Trivial extension DG-algebras, unitally positive $A_\infty$-algebras, and applications

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-05-14T00:28:30.019715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-05-14T00:24:30.334357Z digest=sha256:7dc318b207fa42d11daede3e134a9732c065fd2be551cc8738e03518995e133a