Paper Citation Record · LEDGER

Invariants of toric double determinantal rings

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.22730.

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

pith.paper-citation-record.v1
2506.22730 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:10:20.888746Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

26 of 26 outbound references displayed

verified exact0
verified fuzzy22
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ef62baaa-bc14-4e83-8af9-7ff14ecac1fd · outbound

This paper cites Birkhoff, Lattice Theory (3rd ed.), Amer.

Invariants of toric double determinantal rings Birkhoff, Lattice Theory (3rd ed.), Amer

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:25.203630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 85da4c85-ec5c-4475-83e9-d08b2edb1bf5 · outbound

This paper cites Blose, P.

Invariants of toric double determinantal rings Blose, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:25.073179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9bf9cc0b-0174-4c4b-bbd5-b8d8909d4108 · outbound

This paper cites Bruns, A.

Invariants of toric double determinantal rings Bruns, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.929607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5e14e98-d84b-41d2-8c29-4e5a2dcca4ec · outbound

This paper cites Cohen-Macaulay rings, Cambridge Stud.

Invariants of toric double determinantal rings Cohen-Macaulay rings, Cambridge Stud

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.812638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5f75b034-da23-43a8-ac0f-6c6845698de7 · outbound

This paper cites Carlitz, V.

Invariants of toric double determinantal rings Carlitz, V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.715969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93ca9e0a-526c-4614-9c0b-bcc50759dee6 · outbound

This paper cites Conca, Ladder determinantal rings, J.

Invariants of toric double determinantal rings Conca, Ladder determinantal rings, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.575391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8267f613-c4e1-4d67-86fb-e712b2580a57 · outbound

This paper cites Conca, E.

Invariants of toric double determinantal rings Conca, E

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.482659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2f237e2a-de4f-476e-a752-782ba9b57274 · outbound

This paper cites Syzygies of Hibi Rings.

Invariants of toric double determinantal rings Syzygies of Hibi Rings

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:24.333785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5ff1bce-6b76-4994-b4f4-c82a7e49b116 · outbound

This paper cites an unresolved cited work.

Invariants of toric double determinantal rings Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:24.153084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ac26ba7d-79b6-42ad-9aea-92310242d14a · outbound

This paper cites Gasanova, L.

Invariants of toric double determinantal rings Gasanova, L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.939732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e87f1be6-2964-4af6-a08f-a537421c9364 · outbound

This paper cites Gonciulea and C.

Invariants of toric double determinantal rings Gonciulea and C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.800001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 912b63b4-c1c3-42c1-99ff-2346949e3a33 · outbound

This paper cites Gorla, Mixed ladder determinantal varieties from two-sided ladders, J.

Invariants of toric double determinantal rings Gorla, Mixed ladder determinantal varieties from two-sided ladders, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.638350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 11520746-ceb9-41e7-be73-017c120128bf · outbound

This paper cites Herzog, T.

Invariants of toric double determinantal rings Herzog, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.444249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71336742-55c8-4d64-a0a0-d632993738b5 · outbound

This paper cites Com- mutative Algebra and Combinatorics.

Invariants of toric double determinantal rings Com- mutative Algebra and Combinatorics

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.225224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a43b76a8-836c-4c25-8415-2c867f98d109 · outbound

This paper cites Hibi, Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets, J.

Invariants of toric double determinantal rings Hibi, Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:23.007665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25d073f2-2918-4f07-b3b7-f8c9596ffbb0 · outbound

This paper cites Illian, L.

Invariants of toric double determinantal rings Illian, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:22.861711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5a75141b-d846-4643-9b82-b4fad510768c · outbound

This paper cites Klein, N.

Invariants of toric double determinantal rings Klein, N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:22.677070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9441c206-b7e9-49ac-b36e-725d73410cd0 · outbound

This paper cites Li, Nakajima’s quiver varieties and triangular bases of rank-2 cluster algebras, J.

Invariants of toric double determinantal rings Li, Nakajima’s quiver varieties and triangular bases of rank-2 cluster algebras, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:22.510603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 309d0b32-c6a9-49f8-b32b-d7caafc84093 · outbound

This paper cites Li, Bipartite determinantal ideals and concurrent vertex maps, J.

Invariants of toric double determinantal rings Li, Bipartite determinantal ideals and concurrent vertex maps, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:22.338515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b002075f-18e4-4381-bec1-d71aa4ab3032 · outbound

This paper cites an unresolved cited work.

Invariants of toric double determinantal rings Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:22.193171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8c37475-13ab-41dc-8533-a145cb239e2d · outbound

This paper cites MacMahon, Combinatory Analysis, Two Volumes (Bound As One), Chelsea Publishing Co., New York, 1960.

Invariants of toric double determinantal rings MacMahon, Combinatory Analysis, Two Volumes (Bound As One), Chelsea Publishing Co., New York, 1960

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:22.056841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b6f097a7-96de-4e21-9261-fb55f226d1c4 · outbound

This paper cites an unresolved cited work.

Invariants of toric double determinantal rings Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:21.876390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ce5bfe9d-84f7-43aa-8d20-368070fcd78b · outbound

This paper cites Grayson, M.

Invariants of toric double determinantal rings Grayson, M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:21.676705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ff4947c6-bb83-4d4e-91f1-2ccaac631ff9 · outbound

This paper cites an unresolved cited work.

Invariants of toric double determinantal rings Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:10:21.484701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0525a2cc-0d3f-40cd-afe9-ea441dad03c4 · outbound

This paper cites Sturmfels, Gr¨ obner bases and convex polytopes, University Lecture Series, 9, American Mathe- matical Soc., 1996.

Invariants of toric double determinantal rings Sturmfels, Gr¨ obner bases and convex polytopes, University Lecture Series, 9, American Mathe- matical Soc., 1996

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:21.256042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 27927ae4-12f2-4a80-bfe7-7b2040e1561f · outbound

This paper cites Svanes, Coherent cohomology on schubert subschemes of flag schemes and applications, Advances in Math.

Invariants of toric double determinantal rings Svanes, Coherent cohomology on schubert subschemes of flag schemes and applications, Advances in Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:10:21.045762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.