Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:32:09.004557Z
Paper Citation Record · LEDGER
Multiplicity in triangulated categories
As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.02437.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
35 of 35 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation edb3aa2b-605c-4b96-b7a6-f19f8dbf8535 · outbound
This paper cites Remarks on a depth formula, a grade inequality and a conjecture of Auslander.Comm.
Multiplicity in triangulated categories Remarks on a depth formula, a grade inequality and a conjecture of Auslander.Comm
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:14.996609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 35cdb63e-067a-4954-9d62-09807c280f48 · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:32:05.481519Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f192068-368b-4afe-9abe-9653fcbd1a5e · outbound
This paper cites Buchsbaum.
Multiplicity in triangulated categories Buchsbaum
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:14.830328Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 02ebad5b-d4a4-4aa0-80e8-d0c8eebf81a8 · outbound
This paper cites Codimension and multiplicity.
Multiplicity in triangulated categories Codimension and multiplicity
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:14.635990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a6a25ed6-f8c5-49c1-96ba-a80d9f85e293 · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:32:14.413236Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 54b5abc2-ebf5-4f50-aad3-3ca0418977ff · outbound
This paper cites Avramov and Ragnar-Olaf Buchweitz.
Multiplicity in triangulated categories Avramov and Ragnar-Olaf Buchweitz
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:14.217325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation eb75aecd-889b-4456-88da-83f37b1cfbde · outbound
This paper cites Avramov and Srikanth B.
Multiplicity in triangulated categories Avramov and Srikanth B
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:14.107608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40b302a8-4056-4f0c-b11e-590f2dc97e0c · outbound
This paper cites Local cohomology and support for triangulated categories.Ann.
Multiplicity in triangulated categories Local cohomology and support for triangulated categories.Ann
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.944329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 181a7b20-f163-4bcd-8262-8bb0c7481d94 · outbound
This paper cites Iyengar, Henning Krause, and Steffen Oppermann.
Multiplicity in triangulated categories Iyengar, Henning Krause, and Steffen Oppermann
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.823196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 62724be2-7598-4f69-8c42-4137e9a13832 · outbound
This paper cites Jorgensen, and Peder Thompson.
Multiplicity in triangulated categories Jorgensen, and Peder Thompson
Reference 10
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T11:32:09.538272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 02f33818-864d-490e-be26-2d72510cfd47 · outbound
This paper cites Jorgensen, and Peder Thompson.
Multiplicity in triangulated categories Jorgensen, and Peder Thompson
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.660279Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2c480cae-426d-4c3a-99b7-82da289807fc · outbound
This paper cites Cohomology of twisted tensor products.J.
Multiplicity in triangulated categories Cohomology of twisted tensor products.J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.503190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 85ed70ac-e1ca-495d-900d-ac6abfa5979d · outbound
This paper cites Bou¸ ca, T.
Multiplicity in triangulated categories Bou¸ ca, T
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.382749Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f8a75553-1322-4c6a-9add-398344136a92 · outbound
This paper cites Brown, Claudia Miller, Peder Thompson, and Mark E.
Multiplicity in triangulated categories Brown, Claudia Miller, Peder Thompson, and Mark E
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.263808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation abdec823-a652-4192-9077-67031a2abb5c · outbound
This paper cites Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings.Available from http://hdl.handle.net/1807/16682, page 155, 1986.
Multiplicity in triangulated categories Maximal Cohen-Macaulay modules and Tate-cohomology over Gorenstein rings.Available from http://hdl.handle.net/1807/16682, page 155, 1986
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:13.043746Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9db110c5-ee19-46b4-963b-e07f9b558990 · outbound
This paper cites On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand.Pacific J.
Multiplicity in triangulated categories On the vanishing of the theta invariant and a conjecture of Huneke and Wiegand.Pacific J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:12.861373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e32270fe-db00-43d5-9eb7-1abfdfb9fa92 · outbound
This paper cites Asymptotic behavior of Ext functors for modules of finite complete intersection dimension.Math.
Multiplicity in triangulated categories Asymptotic behavior of Ext functors for modules of finite complete intersection dimension.Math
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:12.654277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3a72a944-569a-4bd3-85cb-f0458fe019bf · outbound
This paper cites Conway and Richard K.
Multiplicity in triangulated categories Conway and Richard K
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:12.463383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d14703cf-3397-42b1-95be-f54ae4d82ec7 · outbound
This paper cites Asymptotic behavior of Tor over complete intersections and applications.
Multiplicity in triangulated categories Asymptotic behavior of Tor over complete intersections and applications
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:32:09.211680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4ec5d691-9262-4913-97db-33995450c40b · outbound
This paper cites Sup- port varieties for selfinjective algebras.K-Theory, 33(1):67–87, 2004.
Multiplicity in triangulated categories Sup- port varieties for selfinjective algebras.K-Theory, 33(1):67–87, 2004
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:12.247441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 25744066-0e18-462a-a298-59cf65a2b517 · outbound
This paper cites The cohomology ring of a finite group.Trans.
Multiplicity in triangulated categories The cohomology ring of a finite group.Trans
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:12.056814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3337fcad-8c62-4de4-9a7b-9f073dcfc21c · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:32:11.898726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bf3466cd-ba64-492d-b2cf-7577ea1e00de · outbound
This paper cites Gulliksen.
Multiplicity in triangulated categories Gulliksen
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:11.691962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4a9ae607-abd8-490f-a9ef-ee7aee7f217c · outbound
This paper cites Ueber die Theorie der algebraischen Formen.Math.
Multiplicity in triangulated categories Ueber die Theorie der algebraischen Formen.Math
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:11.524949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 193b15ab-0e82-4211-83ae-35cefa106980 · outbound
This paper cites The dimension of an intersection in an ambient hypersurface.
Multiplicity in triangulated categories The dimension of an intersection in an ambient hypersurface
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:11.337578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation faee9acd-7b73-44fb-b1a5-7df6f5a70f56 · outbound
This paper cites Jorgensen, Liana M.
Multiplicity in triangulated categories Jorgensen, Liana M
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:11.090609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c8bea6f1-1d85-437a-be67-5cc8d38b626e · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:32:10.908439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fe4dbcf9-9a45-4df3-b5bd-2fcfd7c98f26 · outbound
This paper cites Cambridge University Press, Cambridge, second edition, 1989.
Multiplicity in triangulated categories Cambridge University Press, Cambridge, second edition, 1989
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:10.752285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 480ca744-23a0-4478-8d6e-d6ae05543bb6 · outbound
This paper cites Nakaoka,Note on cohomology algebras of symmetric groups, J.
Multiplicity in triangulated categories Nakaoka,Note on cohomology algebras of symmetric groups, J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:10.597220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 65b5f9fd-59e4-4860-b56f-27e3d5a9e601 · outbound
This paper cites La notion de multiplicit´ e en alg` ebre et en g´ eom´ etrie alg´ ebrique.J.
Multiplicity in triangulated categories La notion de multiplicit´ e en alg` ebre et en g´ eom´ etrie alg´ ebrique.J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:10.411818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4b5f1b94-f416-4bad-9ee1-013c224b332d · outbound
This paper cites Springer Monographs in Mathematics.
Multiplicity in triangulated categories Springer Monographs in Mathematics
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:10.270637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 05d732d4-f1cf-4a26-b715-fcf6e741c134 · outbound
This paper cites Stanley.Enumerative combinatorics.
Multiplicity in triangulated categories Stanley.Enumerative combinatorics
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:32:08.717892Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8f11bfa-1c44-4719-9dec-3c8e161880b4 · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:32:10.107306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b1d52a51-8046-4c7f-911d-09ba02bf53f7 · outbound
This paper cites On the vanishing of Hochster’sθinvariant.Ann.
Multiplicity in triangulated categories On the vanishing of Hochster’sθinvariant.Ann
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:32:09.984385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 235e6e1b-98e7-406e-b30b-3d5b0a2ccc22 · outbound
This paper cites an unresolved cited work.
Multiplicity in triangulated categories Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:32:09.751681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.