Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T13:18:45.944432Z
Paper Citation Record · LEDGER
The singularity category as a stable module category
As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2509.01056.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-14T00:24:30.334357Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-14T00:28:30.022520Z
Reference resolution
37 of 37 outbound references displayed
- verified exact1
- verified fuzzy35
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7dfb0759-0af8-4ca9-9f91-d854f28a1318 · outbound
This paper cites Abrams, and G.
The singularity category as a stable module category Abrams, and G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:55.614383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 39f656a8-a606-4411-8519-76a766623acc · outbound
This paper cites Ara, M.A.
The singularity category as a stable module category Ara, M.A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:55.396593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e25d2d92-4744-4a74-a2c4-0defad44ac7f · outbound
This paper cites Ara, and E.
The singularity category as a stable module category Ara, and E
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:55.163970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dd0332c8-a890-4a69-8de1-4af57e80cbad · outbound
This paper cites Auslander , Representation Dimension of Artin Algebras, Math.
The singularity category as a stable module category Auslander , Representation Dimension of Artin Algebras, Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:54.932847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f66f755b-54b6-4e48-af35-bd2b404f1d78 · outbound
This paper cites Auslander, I.
The singularity category as a stable module category Auslander, I
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:54.670067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e1afac93-2ab0-49ad-9694-e580f9f7df02 · outbound
This paper cites Beligiannis, The homological theory of contravariantly finite subcatego ries: Auslander- Buchweitz contexts, Gorenstein categories and (co-)stabi lization, Comm.
The singularity category as a stable module category Beligiannis, The homological theory of contravariantly finite subcatego ries: Auslander- Buchweitz contexts, Gorenstein categories and (co-)stabi lization, Comm
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:54.374519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8f0e07c8-b8ba-4867-9539-d5b726bc6537 · outbound
This paper cites Beligiannis, and M.
The singularity category as a stable module category Beligiannis, and M
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:54.073742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a9ddf0fb-8ac3-46c6-a97d-2e728be58fc5 · outbound
This paper cites Bergh , Orbit algebras and periodicity , Colloq.
The singularity category as a stable module category Bergh , Orbit algebras and periodicity , Colloq
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:53.814637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1d03653e-1868-4b8a-a555-52c8131a8a61 · outbound
This paper cites Buchweitz , Maximal Cohen-Macaulay Modules and Tate-cohomology over Goren- stein Rings, with appendices by L.L.
The singularity category as a stable module category Buchweitz , Maximal Cohen-Macaulay Modules and Tate-cohomology over Goren- stein Rings, with appendices by L.L
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:53.591945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation da05e7e8-6983-4b26-9f35-55784ba79850 · outbound
This paper cites Carlsen, and E.
The singularity category as a stable module category Carlsen, and E
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:53.324882Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3ee63e54-dcd6-403c-a6a4-5c2d08996249 · outbound
This paper cites Canonaco, and P.
The singularity category as a stable module category Canonaco, and P
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:53.090611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9c4d2c08-7f26-4045-b5ec-4f4749b414ff · outbound
This paper cites Chen , Relative singularity categories and Gorenstein-projecti ve modules , Math.
The singularity category as a stable module category Chen , Relative singularity categories and Gorenstein-projecti ve modules , Math
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:52.868906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 19368c8f-0037-49a4-90b0-6d5d2b1e65da · outbound
This paper cites Chen, and Z.
The singularity category as a stable module category Chen, and Z
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:18:43.120056Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6477212-a1b3-48bb-8385-314a037038a0 · outbound
This paper cites Chen, and Z.
The singularity category as a stable module category Chen, and Z
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:52.597940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ddf5e03d-0468-4fec-a39c-c898f9703e24 · outbound
This paper cites Chen, and D.
The singularity category as a stable module category Chen, and D
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:52.327103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 121298ae-9d49-4283-a592-6c8fb3694827 · outbound
This paper cites Clark, J.
The singularity category as a stable module category Clark, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:52.073709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6f2bd265-bd33-48e3-b120-94591834e611 · outbound
This paper cites Cuntz, and D.
The singularity category as a stable module category Cuntz, and D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:51.742110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fbaacc04-967b-467b-b20c-3bc6251061df · outbound
This paper cites Dade , Group-graded rings and modules , Math.
The singularity category as a stable module category Dade , Group-graded rings and modules , Math
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:51.452008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 43ad5359-8ab1-4ed3-9607-f240950cfb71 · outbound
This paper cites Damiano , Coflat rings and modules , Pacific J.
The singularity category as a stable module category Damiano , Coflat rings and modules , Pacific J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:51.187939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 720ced74-3a8f-4295-9dd2-9169b5733cc3 · outbound
This paper cites Drinfeld , DG quotients of DG categories , J.
The singularity category as a stable module category Drinfeld , DG quotients of DG categories , J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:50.885257Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ff8934fc-147a-4b8b-a576-93d5d02869d1 · outbound
This paper cites Ebeling , Homological mirror symmetry for singularities , in: Representation Theory– Current Trends and Perspectives, EMS Series Congress Repor ts, 75–107, European Math.
The singularity category as a stable module category Ebeling , Homological mirror symmetry for singularities , in: Representation Theory– Current Trends and Perspectives, EMS Series Congress Repor ts, 75–107, European Math
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:50.595305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e0ac14e9-2593-4d8c-97d7-60dc367578fe · outbound
This paper cites Happel , Triangulated Categories in the Representation Theory of F inite Dimensional Algebras, London Math.
The singularity category as a stable module category Happel , Triangulated Categories in the Representation Theory of F inite Dimensional Algebras, London Math
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:50.340123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation de3f40b8-e648-44e8-a436-62e21c8d8d0c · outbound
This paper cites Hazrat , The dynamics of Leavitt path algebras , J.
The singularity category as a stable module category Hazrat , The dynamics of Leavitt path algebras , J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:50.095233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9cb9ac7e-7c26-4976-bed7-4f23a27c9eb0 · outbound
This paper cites Hazrat , Graded Rings and Graded Grothendieck Groups, London Math.
The singularity category as a stable module category Hazrat , Graded Rings and Graded Grothendieck Groups, London Math
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:49.697406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6c595407-bdd8-4e5b-96f7-f65d44339844 · outbound
This paper cites Heller , The loop-space functor in homological algebra , Trans.
The singularity category as a stable module category Heller , The loop-space functor in homological algebra , Trans
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:49.481130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a8dda0b6-4fc9-464e-b79b-4ad72891477b · outbound
This paper cites Heller , Stable homotopy categories , Bull.
The singularity category as a stable module category Heller , Stable homotopy categories , Bull
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:49.197498Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7bea6298-914e-4aa2-a3b9-5238f15cc377 · outbound
This paper cites Kalck, A new equivalence between singularity categories of commut ative algebras, Adv.
The singularity category as a stable module category Kalck, A new equivalence between singularity categories of commut ative algebras, Adv
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:48.964464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 39a25e55-5519-4293-958d-b6a7701ae24a · outbound
This paper cites Noncommutative Kn\"orrer type equivalences via noncommutative resolutions of singularities.
The singularity category as a stable module category Noncommutative Kn\"orrer type equivalences via noncommutative resolutions of singularities
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T13:18:46.351227Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d3e402e5-1828-435a-81f9-81f39424a200 · outbound
This paper cites Keller , Derived categories and universal problems , Comm.
The singularity category as a stable module category Keller , Derived categories and universal problems , Comm
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:48.693900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a15bd916-2afc-46f0-a23c-2e52d0ca7e3e · outbound
This paper cites Keller , On the cyclic homology of exact categorues , J.
The singularity category as a stable module category Keller , On the cyclic homology of exact categorues , J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:48.376175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 34d13462-1460-454b-8bb3-a5112d7215ec · outbound
This paper cites Keller, and D.
The singularity category as a stable module category Keller, and D
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:48.157975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b06d95b2-c3e0-43b5-a37f-a2b60d5e4bfd · outbound
This paper cites Leavitt, The module type of a ring , Trans.
The singularity category as a stable module category Leavitt, The module type of a ring , Trans
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:47.870018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6a97287e-0dc9-4c21-b6c8-275aa2a7f5a0 · outbound
This paper cites Lenzing , Wild canonical algebras and rings of automorphic forms , in: Finite- Dimensional Algebras and Related Topics, NATO ASI Ser.
The singularity category as a stable module category Lenzing , Wild canonical algebras and rings of automorphic forms , in: Finite- Dimensional Algebras and Related Topics, NATO ASI Ser
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:47.623312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e77ff0bb-1433-44c0-930d-05dd99284a7f · outbound
This paper cites Nastasescu, and F.
The singularity category as a stable module category Nastasescu, and F
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:47.351928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fc21dfe3-0532-4f64-9225-2c7751d3cea7 · outbound
This paper cites Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg mod- els, Proc.
The singularity category as a stable module category Orlov, Triangulated categories of singularities and D-branes in Landau-Ginzburg mod- els, Proc
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:47.120299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation caf85e4b-7d73-4856-b740-442ffe9d1a11 · outbound
This paper cites Smith , Category equivalences involving graded modules over path a lgebras of quivers , Adv.
The singularity category as a stable module category Smith , Category equivalences involving graded modules over path a lgebras of quivers , Adv
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:46.927198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9bfbc2e9-6561-414f-98df-0a379e6beea4 · outbound
This paper cites Tierney , Categorical Constructions in Stable Homotopy Theory, Lec ture Notes in Math.
The singularity category as a stable module category Tierney , Categorical Constructions in Stable Homotopy Theory, Lec ture Notes in Math
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T13:18:46.656611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation 01379ae5-c59e-47b8-9cba-bcf058921cf1 · inbound
Lectures on singularity categories cites this paper.
Lectures on singularity categories The singularity category as a stable module category
Reference 39
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T00:28:30.026889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.