Paper Citation Record · LEDGER

A lower bound on levels with applications to Koszul Complexes

As of 14 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.

pith.paper-citation-record.v1
2505.14812 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:54.218988Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

No inbound Pith citation observations are available.