Paper Citation Record · LEDGER

The linkage class of a grade three complete intersection

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2412.00399.

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

pith.paper-citation-record.v1
2412.00399 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:31:41.813910Z

measured 31 of 31 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:34:47.297127Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:54:36.293233Z

Reference resolution

29 of 29 outbound references displayed

verified exact11
verified fuzzy9
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 995a0cac-4b60-4aa9-9496-437e8097b842 · outbound

This paper cites Po incar´ e series of mod- ules over local rings of small embedding codepth or small linking numbe r.

The linkage class of a grade three complete intersection Po incar´ e series of mod- ules over local rings of small embedding codepth or small linking numbe r

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.692285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5db66c4-4bcb-485f-8d56-8b446e3d82f0 · outbound

This paper cites A structure theorem for a class of grade thre e perfect ideals.

The linkage class of a grade three complete intersection A structure theorem for a class of grade thre e perfect ideals

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.697339Z

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Unavailable: canonical work link unavailable.

Observation ab67b4a6-ddd1-4e30-ac4e-80f4e1f0e759 · outbound

This paper cites The existence of generic free resolutions and r elated ob- jects.

The linkage class of a grade three complete intersection The existence of generic free resolutions and r elated ob- jects

Reference 3

Resolution: verified exact; doi, observed 2026-08-12T05:31:42.034446Z

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.

Observation 9e58a88f-972d-46c8-9d82-d45596cdddb8 · outbound

This paper cites Algebra structures fo r ﬁnite free resolu- tions, and some structure theorems for ideals of codimension 3.

The linkage class of a grade three complete intersection Algebra structures fo r ﬁnite free resolu- tions, and some structure theorems for ideals of codimension 3

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.706276Z

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Unavailable: canonical work link unavailable.

Observation 2c01e9cd-743a-4bef-9c0e-fa7d72dd3ae2 · outbound

This paper cites Some structure theor ems for ﬁnite free resolutions.

The linkage class of a grade three complete intersection Some structure theor ems for ﬁnite free resolutions

Reference 5

Resolution: verified exact; doi, observed 2026-08-12T05:31:42.007175Z

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.

Observation 04446cc4-0c0c-484d-b7a7-42c0c11796af · outbound

This paper cites What makes a complex ex act?.

The linkage class of a grade three complete intersection What makes a complex ex act?

Reference 6

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.990456Z

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.

Observation 11352b30-2ffc-4b27-aa0c-58184fd09e1a · outbound

This paper cites On ideals of ﬁnite homological dimension in local ring s.

The linkage class of a grade three complete intersection On ideals of ﬁnite homological dimension in local ring s

Reference 7

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.976345Z

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.

Observation 190cddf5-4b3a-453e-97e7-c4f6f7edea1d · outbound

This paper cites On the Buchsbaum-Eisenbud theory of ﬁ- nite free resolutions.

The linkage class of a grade three complete intersection On the Buchsbaum-Eisenbud theory of ﬁ- nite free resolutions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.318165Z

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.

Observation 8a3012de-ed90-4444-a747-8bcf64536ebd · outbound

This paper cites A note on perfect ideals.

The linkage class of a grade three complete intersection A note on perfect ideals

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.304526Z

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.

Observation 7d605573-56a2-45f2-a8d6-9adb2c17a821 · outbound

This paper cites Higher structure maps for free resolutions of length 3 and linkage.

The linkage class of a grade three complete intersection Higher structure maps for free resolutions of length 3 and linkage

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.735964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c27bd511-e076-40f9-8d6f-498c8bb468a7 · outbound

This paper cites Ueber die Theorie der algebraischen Formen.

The linkage class of a grade three complete intersection Ueber die Theorie der algebraischen Formen

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.740364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80636a2d-9b80-4cd0-b29b-2720830f77cb · outbound

This paper cites Topics in the homological theory of modules over commutativ e rings.

The linkage class of a grade three complete intersection Topics in the homological theory of modules over commutativ e rings

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.289355Z

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.

Observation d7803e5f-1dd9-4e4f-9af5-365aac36aa9d · outbound

This paper cites Humphreys.

The linkage class of a grade three complete intersection Humphreys

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.274907Z

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.

Observation 0e2b7146-8a4e-42a5-a1ea-970e78e03d94 · outbound

This paper cites The arithmetic perfection of Buchsbaum-Eisen bud varieties and generic modules of projective dimension two.

The linkage class of a grade three complete intersection The arithmetic perfection of Buchsbaum-Eisen bud varieties and generic modules of projective dimension two

Reference 14

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.941155Z

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.

Observation e7f408b2-89b8-40ab-8849-f640680cdd99 · outbound

This paper cites Kac-Moody groups, their ﬂag varieties and representation t he- ory.

The linkage class of a grade three complete intersection Kac-Moody groups, their ﬂag varieties and representation t he- ory

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.757283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b07442c6-b43c-451d-9ad6-87fc4c19a2ea · outbound

This paper cites The resolution of the universal ring for mod ules of rank zero and projective dimension two.

The linkage class of a grade three complete intersection The resolution of the universal ring for mod ules of rank zero and projective dimension two

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.260592Z

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.

Observation cad4ccd9-632b-4b61-beb5-d6ffed5014a6 · outbound

This paper cites Some branching formulas fo r Kac-Moody Lie algebras.

The linkage class of a grade three complete intersection Some branching formulas fo r Kac-Moody Lie algebras

Reference 17

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.904901Z

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.

Observation 2e40c47e-b7aa-437e-b8d0-3f80a924f51c · outbound

This paper cites ADEPerfectIdeals.

The linkage class of a grade three complete intersection ADEPerfectIdeals

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.246943Z

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.

Observation 20535560-a214-4804-9528-d0560bc5afa8 · outbound

This paper cites Free resolutions, linkage, and representation th eory.

The linkage class of a grade three complete intersection Free resolutions, linkage, and representation th eory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.233316Z

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.

Observation 5bcc8799-6999-4bab-bdb7-34407e15201f · outbound

This paper cites Parametrizing higher structure maps for resolutions of len gth three.

The linkage class of a grade three complete intersection Parametrizing higher structure maps for resolutions of len gth three

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.219805Z

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.

Observation cdf8052e-835c-495b-ac52-ce03b28c4535 · outbound

This paper cites an unresolved cited work.

The linkage class of a grade three complete intersection Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:31:42.206019Z

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.

Observation 860880f2-9571-483d-95d7-78377a8d1afe · outbound

This paper cites Liaison des vari´ et´ es alg´ ebriques . I.

The linkage class of a grade three complete intersection Liaison des vari´ et´ es alg´ ebriques . I

Reference 22

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.889913Z

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.

Observation 6cd394f3-49c5-4289-8173-94ed9a1f8caf · outbound

This paper cites On the generic free resolut ions.

The linkage class of a grade three complete intersection On the generic free resolut ions

Reference 23

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.874904Z

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.

Observation 308ae8fd-d749-4e69-8a79-aac4034f9de0 · outbound

This paper cites A structure theorem for type 3, grade 3 perfect ideals.

The linkage class of a grade three complete intersection A structure theorem for type 3, grade 3 perfect ideals

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.801379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e18b4f5b-8224-4cd5-8c91-3d322aa71f27 · outbound

This paper cites Universal complexes and the generic structure of free resolu- tions.

The linkage class of a grade three complete intersection Universal complexes and the generic structure of free resolu- tions

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-12T05:31:41.805492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1042c13c-45e4-415b-be32-5a73693bf946 · outbound

This paper cites Generic free resolutions and root systems.

The linkage class of a grade three complete intersection Generic free resolutions and root systems

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:31:42.190977Z

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.

Observation c868be4b-5e1b-419e-8516-1f108a61ffbd · outbound

This paper cites On the structure of free resolutions of lengt h 3.

The linkage class of a grade three complete intersection On the structure of free resolutions of lengt h 3

Reference 27

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.850404Z

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.

Observation e9b926fa-fad0-44af-b0b6-33b4bc8bd7cc · outbound

This paper cites doi: 10.1515/crll.1973.262-263.205.

The linkage class of a grade three complete intersection doi: 10.1515/crll.1973.262-263.205

Reference 219

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.963167Z

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.

Observation 81d0a877-32a1-4d62-b2cf-56091caead51 · outbound

This paper cites doi: 10.1016/j.jalgebra.2006.11.013.

The linkage class of a grade three complete intersection doi: 10.1016/j.jalgebra.2006.11.013

Reference 289

Resolution: verified exact; doi, observed 2026-08-12T05:31:41.919173Z

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.

Pith citing papers

Observation 3d62461b-683a-4999-8207-5717a1ec7ed0 · inbound

Generic models of licci ideals parametrized by Schur functors cites this paper.

Generic models of licci ideals parametrized by Schur functors The linkage class of a grade three complete intersection

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T04:54:36.300422Z

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.

Observation 45c85f11-070f-4a61-944b-579f846f62de · inbound

Restrictions on the Betti tables of licci ideals cites this paper.

Restrictions on the Betti tables of licci ideals The linkage class of a grade three complete intersection

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T19:34:47.297127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.