Paper Citation Record · LEDGER

Ranks of matrix factorizations and sheaf cohomology

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2412.01060.

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

pith.paper-citation-record.v1
2412.01060 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:00:56.796751Z

measured 19 of 19 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

19 of 19 outbound references displayed

verified exact0
verified fuzzy9
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c2bdb273-56b5-4315-a6fe-b7cbb30e7602 · outbound

This paper cites C onf., T emple U niv., P hiladelphia, P a., 1976), Lect.

Ranks of matrix factorizations and sheaf cohomology C onf., T emple U niv., P hiladelphia, P a., 1976), Lect

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.975569Z

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 4afcf6bc-8524-4548-ae60-97330d331d98 · outbound

This paper cites Brown and Tobias Dyckerhoff, Topological K -theory of equivariant singularity categories , Homology Homotopy Appl.

Ranks of matrix factorizations and sheaf cohomology Brown and Tobias Dyckerhoff, Topological K -theory of equivariant singularity categories , Homology Homotopy Appl

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.967463Z

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 8aa373b5-ae25-47a0-8136-61790afc81b0 · outbound

This paper cites Be linson, Coherent sheaves on P ^n and problems of linear algebra , Functional Analysis and its Applications 12 (1978), no.

Ranks of matrix factorizations and sheaf cohomology Be linson, Coherent sheaves on P ^n and problems of linear algebra , Functional Analysis and its Applications 12 (1978), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.958635Z

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 aa03f8a2-b1fb-460a-a6ea-f9829861ae01 · outbound

This paper cites Buchweitz, G.-M.

Ranks of matrix factorizations and sheaf cohomology Buchweitz, G.-M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.949100Z

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 eaa4d2d2-0244-43be-a308-df228fd4cddd · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.940342Z

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 38c7924b-bea9-4eb5-bd53-ea34ba45154a · outbound

This paper cites 262, American Mathematical Society, Providence, RI, [2021] 2021, With appendices and an introduction by Luchezar L.

Ranks of matrix factorizations and sheaf cohomology 262, American Mathematical Society, Providence, RI, [2021] 2021, With appendices and an introduction by Luchezar L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.930603Z

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 54264006-f2ff-422a-a01b-bcccc45378a3 · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.921730Z

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 320c4521-af4f-4b40-92f9-8e850574547d · outbound

This paper cites 150, Springer-Verlag, New York, 1995, With a view toward algebraic geometry.

Ranks of matrix factorizations and sheaf cohomology 150, Springer-Verlag, New York, 1995, With a view toward algebraic geometry

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.913394Z

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 e3d265f9-ae1a-4db4-ba46-6a28b0f4baa6 · outbound

This paper cites 2152, Springer, Cham, 2016.

Ranks of matrix factorizations and sheaf cohomology 2152, Springer, Cham, 2016

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T05:00:56.767395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61f3974f-d178-433d-8645-0c9089e1bac3 · outbound

This paper cites Matrix factorizations of generic polynomials.

Ranks of matrix factorizations and sheaf cohomology Matrix factorizations of generic polynomials

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T05:00:56.770136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c21cda1-c33b-4dbb-a306-27592905ef3a · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.899261Z

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 57637b98-b20f-46e5-a835-94792b0ca263 · outbound

This paper cites I , Invent.

Ranks of matrix factorizations and sheaf cohomology I , Invent

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.891079Z

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 9dfe227d-07ae-4d73-a02f-4d7f51a32541 · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.882977Z

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 ee45024f-5e5a-411c-9c8b-8c7602702d5d · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.874571Z

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 5299f0c7-1d28-45d9-8805-77b78798d0a9 · outbound

This paper cites a user Classics, Birkh\.

Ranks of matrix factorizations and sheaf cohomology a user Classics, Birkh\

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.865814Z

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 e0f82a28-cf33-4c86-9f13-9dbac10a548c · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.857451Z

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 b8538da7-bbd0-4538-ad0c-63388a69efd3 · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.849199Z

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 89417bad-202c-4b61-9d1d-62ba25449287 · outbound

This paper cites Roberts, Multiplicities and C hern classes in local algebra , Cambridge Tracts in Mathematics, vol.

Ranks of matrix factorizations and sheaf cohomology Roberts, Multiplicities and C hern classes in local algebra , Cambridge Tracts in Mathematics, vol

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:00:56.840787Z

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 3429b578-4336-4a7c-bbe9-ef74ff92a506 · outbound

This paper cites an unresolved cited work.

Ranks of matrix factorizations and sheaf cohomology Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:00:56.831430Z

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.