Paper Citation Record · LEDGER

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers

As of 22 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2508.12113.

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

pith.paper-citation-record.v1
2508.12113 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:30:45.068512Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T03:54:27.887818Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T17:38:44.316835Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy20
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4d691ca-620e-4ec8-a52d-0c5ff767c21a · outbound

This paper cites Bolondi and J.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Bolondi and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.401811Z

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 ad1f8f44-4e28-46aa-9a7d-7692b0c23f6e · outbound

This paper cites Beorchia and R.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Beorchia and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.387972Z

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 92eadbcc-e314-4ce1-a474-ba6808348d28 · outbound

This paper cites Eisenbud and B.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Eisenbud and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.374909Z

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 3e1d942b-cfa4-423a-81be-53f4f560aa25 · outbound

This paper cites Dimca, D.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Dimca, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.363414Z

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 50d64ce3-c3b6-4121-91b6-01bef9ddd793 · outbound

This paper cites an unresolved cited work.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:30:45.352266Z

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 11b72404-0875-4865-9abd-63830e622920 · outbound

This paper cites du Plessis and C.T.C.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers du Plessis and C.T.C

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.340752Z

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 afb90d7e-02cb-41b1-a5f8-4ae5c4ff24b7 · outbound

This paper cites du Plessis and C.T.C.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers du Plessis and C.T.C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.328934Z

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 89da0d29-9af5-458c-a628-3cd9a8de9bc1 · outbound

This paper cites Geramita and J.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Geramita and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.317950Z

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 7a367a7f-48ff-4801-93e2-9b202beb277f · outbound

This paper cites Hartshorne,Stable reflexive sheaves, Math.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Hartshorne,Stable reflexive sheaves, Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.306850Z

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 ba543768-921e-4756-b72e-3ae17dbe335c · outbound

This paper cites Kleppe, R.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Kleppe, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.293741Z

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 a42963d9-eeeb-4304-be36-59cd41bb4254 · outbound

This paper cites Kreuzer,On 0-dimensional complete intersections, Math.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Kreuzer,On 0-dimensional complete intersections, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.280037Z

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 aee3c4e0-2702-4f44-b282-f7d556d04b30 · outbound

This paper cites 997, Springer-Verlag, Berlin, 1983, 267–289.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers 997, Springer-Verlag, Berlin, 1983, 267–289

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.267970Z

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 30339a62-8023-45c8-82c6-cec04d3f560b · outbound

This paper cites Z.219 (1995), 245–273.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Z.219 (1995), 245–273

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.256226Z

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 0e204517-3e55-41f2-8d7d-bafaa7851add · outbound

This paper cites Migliore and U.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Migliore and U

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.245054Z

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 64fa30f5-7eeb-434e-8265-4fb37337a7ba · outbound

This paper cites an unresolved cited work.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:30:45.233383Z

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 1e889bdd-f8e2-4577-83dd-187d0c944b7e · outbound

This paper cites Nagel,On Hilbert function under liaison, Le Mathematiche XLVI (1993), 547–558.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Nagel,On Hilbert function under liaison, Le Mathematiche XLVI (1993), 547–558

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.221482Z

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 9b172200-5afe-4555-8f9c-cef79d247114 · outbound

This paper cites Nagel,Even liaison classes generated by Gorenstein linkage, J.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Nagel,Even liaison classes generated by Gorenstein linkage, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.209098Z

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 1eeac088-567d-46a0-b582-4170bbcfdf14 · outbound

This paper cites an unresolved cited work.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:30:45.196990Z

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 af4b01ef-b1a3-42fc-b329-83c160d008c7 · outbound

This paper cites Algebra 136 (1991), 376–400.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Algebra 136 (1991), 376–400

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.184528Z

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 b505c788-7726-472e-8701-a79c8ecebf22 · outbound

This paper cites Liaison Addition and Monomial Ideals,.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Liaison Addition and Monomial Ideals,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.170660Z

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 20b428e8-7aa4-4a52-aba0-0403f3d58e25 · outbound

This paper cites Schenck,Elementary modifications and line configurations inP2, Comment.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Schenck,Elementary modifications and line configurations inP2, Comment

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.157159Z

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 b1b5ce71-8086-46c6-8419-8a1877521fb6 · outbound

This paper cites Sernesi,The local cohomology of the Jacobian ring, Doc.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Sernesi,The local cohomology of the Jacobian ring, Doc

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.143376Z

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 e79fa5fc-53a2-42e0-8ba6-e3cfe30ee85e · outbound

This paper cites an unresolved cited work.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:30:45.129083Z

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 8c1fe796-c43e-4a51-9eb9-41c12d8f07ee · outbound

This paper cites 62 JACOBIAN IDEALS OF HYPERPLANE ARRANGEMENTS AND THEIR GRADED BETTI NUMBERS Juan C.

Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers 62 JACOBIAN IDEALS OF HYPERPLANE ARRANGEMENTS AND THEIR GRADED BETTI NUMBERS Juan C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:30:45.109342Z

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

Observation 80e995ae-47ff-4392-8133-5ae94e855403 · inbound

Residue ideals of hyperplane arrangements cites this paper.

Residue ideals of hyperplane arrangements Jacobian Ideals of Hyperplane Arrangements and their Graded Betti Numbers

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-07-03T17:38:44.318157Z

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.