Paper Citation Record · LEDGER

On the Jacobian syzygies for generic toric models

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.20856.

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

pith.paper-citation-record.v1
2507.20856 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:29:15.279095Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:10:36.287508Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T00:10:36.437696Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy12
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a21465f3-98d7-4b7b-822d-5be37f982b73 · outbound

This paper cites Likelihood Correspondence of Toric Statistical Models.

On the Jacobian syzygies for generic toric models Likelihood Correspondence of Toric Statistical Models

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-06T13:29:15.544195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cbf410dd-8145-4cf0-8e82-b5d70006f9a2 · outbound

This paper cites Burity, Z.

On the Jacobian syzygies for generic toric models Burity, Z

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.785412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 34e9a771-6ca0-41be-8ded-901d0973b82a · outbound

This paper cites Dimca, Topics on real and complex singularities.

On the Jacobian syzygies for generic toric models Dimca, Topics on real and complex singularities

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.769237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 038fc198-f332-45e2-b168-344c8643fa3a · outbound

This paper cites Dimca, Singularities and Topology of Hypersurfaces , Universitext, Springer-Verlag, 1992.

On the Jacobian syzygies for generic toric models Dimca, Singularities and Topology of Hypersurfaces , Universitext, Springer-Verlag, 1992

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.754385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e431f6b9-e4a7-41cc-8961-193fd8874f6c · outbound

This paper cites Dimca, Curve arrangements, pencils, and Jacobian syzygies, Michigan Math.

On the Jacobian syzygies for generic toric models Dimca, Curve arrangements, pencils, and Jacobian syzygies, Michigan Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.739116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9885e6ff-707a-4a71-833b-e7e650ab7eb4 · outbound

This paper cites Dimca, P.

On the Jacobian syzygies for generic toric models Dimca, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.723899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3d8352e0-90b0-4513-8c1d-8b6767c8332e · outbound

This paper cites Dimca, G.

On the Jacobian syzygies for generic toric models Dimca, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.708969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2e4ecda4-1458-4d54-8bb5-67634d09033c · outbound

This paper cites Dimca, G.

On the Jacobian syzygies for generic toric models Dimca, G

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.693739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 51bebe8c-d139-4101-9033-cbdb285bc7c7 · outbound

This paper cites Dimca, G.

On the Jacobian syzygies for generic toric models Dimca, G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.678993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation da40313c-1c5a-4d2b-9ce6-2d0e733c3403 · outbound

This paper cites Dimca, G.

On the Jacobian syzygies for generic toric models Dimca, G

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T13:29:15.236926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84247201-4e3a-48e7-9562-cf35f79ed060 · outbound

This paper cites Eisenbud, Commutative algebra.

On the Jacobian syzygies for generic toric models Eisenbud, Commutative algebra

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.663318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2a6556e4-2b07-41e1-90ec-c12cd3956577 · outbound

This paper cites an unresolved cited work.

On the Jacobian syzygies for generic toric models Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:29:15.648087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a711785b-a6bb-4712-8253-e5bec8f449f9 · outbound

This paper cites Golubitsky, V.

On the Jacobian syzygies for generic toric models Golubitsky, V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.633225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f2c4008a-ebcd-47b6-b8f5-c1ffeb955839 · outbound

This paper cites Arrangements and Likelihood.

On the Jacobian syzygies for generic toric models Arrangements and Likelihood

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T13:29:15.521339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3a66f40f-c9d3-4574-a429-cf4e38aad446 · outbound

This paper cites Kahle, H.

On the Jacobian syzygies for generic toric models Kahle, H

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T13:29:15.258082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1033bef-980d-4959-83a8-b73e15114e03 · outbound

This paper cites an unresolved cited work.

On the Jacobian syzygies for generic toric models Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:29:15.617862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 35a420d1-7978-4b84-adab-a708b08135ed · outbound

This paper cites an unresolved cited work.

On the Jacobian syzygies for generic toric models Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:29:15.602551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f91915df-b40f-48ac-962f-ad037f589d73 · outbound

This paper cites Schenck, Elementary modifications and line configurations in P 2, Comm.

On the Jacobian syzygies for generic toric models Schenck, Elementary modifications and line configurations in P 2, Comm

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.587897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 260752a7-fa32-4d88-ad68-a7d58110324e · outbound

This paper cites an unresolved cited work.

On the Jacobian syzygies for generic toric models Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:29:15.573715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 04934863-8dcd-4656-aa9d-60f02591ea46 · outbound

This paper cites Yuzvinsky, A free resolution of the module of derivations for generic arrangements, J.

On the Jacobian syzygies for generic toric models Yuzvinsky, A free resolution of the module of derivations for generic arrangements, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:29:15.559282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 6d74a0a2-d68a-4070-81f7-9218eba85169 · inbound

A minimal resolution for the Jacobian ideal of a generic curve arrangement cites this paper.

A minimal resolution for the Jacobian ideal of a generic curve arrangement On the Jacobian syzygies for generic toric models

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:10:36.442908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.