Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:54.218988Z
Paper Citation Record · LEDGER
A lower bound on levels with applications to Koszul Complexes
As of 9 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.14812.
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 2026-08-09T06:31:02.800959+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
31 of 31 outbound references displayed
- verified exact0
- verified fuzzy20
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 26494214-3fdb-485d-8c07-a3ed973a97cb · outbound
This paper cites Sanders, and Thanh Vu, Lower bounds on projective levels of complexes, J.
A lower bound on levels with applications to Koszul Complexes Sanders, and Thanh Vu, Lower bounds on projective levels of complexes, J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:43:00.542094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c90b5753-45e0-45ed-b199-15f9a0cbfdb1 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:43:00.419968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 60dc1804-efc8-41cf-af8d-4cceb09236c3 · outbound
This paper cites Avramov, Infinite free resolutions, In Six lectures on commutative algebra, volume 331 of Mod.
A lower bound on levels with applications to Koszul Complexes Avramov, Infinite free resolutions, In Six lectures on commutative algebra, volume 331 of Mod
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:43:00.118712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9ffe018e-b221-467f-909b-af9dc99d7930 · outbound
This paper cites Avramov, Ragnar-Olaf Buchweitz, Srikanth B.
A lower bound on levels with applications to Koszul Complexes Avramov, Ragnar-Olaf Buchweitz, Srikanth B
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:59.865849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 98a0527b-c25b-4c9d-8661-b8f0a57238e5 · outbound
This paper cites Avramov and Srikanth B.
A lower bound on levels with applications to Koszul Complexes Avramov and Srikanth B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:59.681208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e0e9f20a-7b73-488c-a8c8-5abc21b00073 · outbound
This paper cites Avramov, Srikanth B.
A lower bound on levels with applications to Koszul Complexes Avramov, Srikanth B
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:59.428418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eac9683c-8e48-4721-b1da-696224d1fd2a · outbound
This paper cites Cohen-Macaulayness of absolute integral closures.
A lower bound on levels with applications to Koszul Complexes Cohen-Macaulayness of absolute integral closures
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:42:51.308369Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da7f5143-9bf3-47df-b780-623b8f7b377a · outbound
This paper cites Algebra 628 (2023), 486–.
A lower bound on levels with applications to Koszul Complexes Algebra 628 (2023), 486–
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:59.056689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e093882b-430a-48e2-a343-07f53ee2e51d · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:58.784185Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8604abf5-7371-4295-abb6-08fe9d3dad49 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:58.567929Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c202e33f-d1aa-484a-a09e-751a2f7e89c5 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:58.190410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0b29dfd4-b68c-467e-b77b-06b1f8668b9b · outbound
This paper cites Graham Evans and Phillip Griffith, The syzygy problem, Ann.
A lower bound on levels with applications to Koszul Complexes Graham Evans and Phillip Griffith, The syzygy problem, Ann
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:57.936555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7ece30ad-e396-48a2-b29c-8d367927fcff · outbound
This paper cites Math., pages 119–137, Amer.
A lower bound on levels with applications to Koszul Complexes Math., pages 119–137, Amer
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:57.677686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6c3e522b-c080-4b93-93df-cebe2787a56c · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:57.400202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7c44c49a-bd18-4041-a275-b9c434780f46 · outbound
This paper cites Algebra 237 (2001), no.
A lower bound on levels with applications to Koszul Complexes Algebra 237 (2001), no
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:57.131284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0ac83ac5-9d8a-4a66-a5b3-4ad7d8976724 · outbound
This paper cites MR 396544.
A lower bound on levels with applications to Koszul Complexes MR 396544
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:56.954486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ad21f2ca-76cf-4ab6-9071-105b3367eda2 · outbound
This paper cites Algebra 84 (1983), no.
A lower bound on levels with applications to Koszul Complexes Algebra 84 (1983), no
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:56.805010Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 187f8cab-c67b-4980-9f7f-57b9f8e8202f · outbound
This paper cites Algebra 254 (2002), no.
A lower bound on levels with applications to Koszul Complexes Algebra 254 (2002), no
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:56.681121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation be853d91-dcd8-44dc-81db-7818c4594d88 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:56.540103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a619fa40-2401-4958-bd17-6bcf793cd0f9 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:56.400472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9f192532-6e25-461e-9c49-0a47a764b6a3 · outbound
This paper cites Hopkins, Global methods in homotopy theory, In Homotopy theory (Durham, 1985), volume 117 of London Math.
A lower bound on levels with applications to Koszul Complexes Hopkins, Global methods in homotopy theory, In Homotopy theory (Durham, 1985), volume 117 of London Math
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:56.263837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c32959ec-d7ec-40ad-a538-efff69ab2177 · outbound
This paper cites Iyengar, Depth for complexes, and intersection theorems, Math.
A lower bound on levels with applications to Koszul Complexes Iyengar, Depth for complexes, and intersection theorems, Math
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:56.112300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55593e71-0e3b-49f0-bff1-da6254bcca60 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:55.976894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6a534d1b-2c83-49ce-96e1-88651e53b96b · outbound
This paper cites Iyengar, Linquan Ma, Karl Schwede, and Mark E.
A lower bound on levels with applications to Koszul Complexes Iyengar, Linquan Ma, Karl Schwede, and Mark E
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:55.833943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1c7052af-252f-42b7-b8ce-c7a673c8982e · outbound
This paper cites Algebra 116 (1988), no.
A lower bound on levels with applications to Koszul Complexes Algebra 116 (1988), no
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:55.696573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1d75d444-a828-493b-ad3e-aaae6b4fed34 · outbound
This paper cites 112 (1964), 69–89.
A lower bound on levels with applications to Koszul Complexes 112 (1964), 69–89
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:55.543764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2be95861-8a2d-4dd0-9a62-d28c6fe554bc · outbound
This paper cites Letz, Local to global principles for generation time over commutative noetherian rings, Homology Homotopy Appl.
A lower bound on levels with applications to Koszul Complexes Letz, Local to global principles for generation time over commutative noetherian rings, Homology Homotopy Appl
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:55.263799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e8587398-ab3c-4616-97ff-b042f9a46150 · outbound
This paper cites 3, 519–532.
A lower bound on levels with applications to Koszul Complexes 3, 519–532
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:55.049640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 519617a4-43b0-4011-80f9-c353abac8ac7 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:54.837087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5f852e93-c24f-4004-97c3-07f51193c167 · outbound
This paper cites an unresolved cited work.
A lower bound on levels with applications to Koszul Complexes Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:42:54.676967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bec1a87d-5757-4250-896d-444467c0ae9e · outbound
This paper cites Vasconcelos, Ideals generated by R-sequences, J.
A lower bound on levels with applications to Koszul Complexes Vasconcelos, Ideals generated by R-sequences, J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:42:54.409611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.