Paper Citation Record · LEDGER

Sortable simplicial complexes and their associated toric rings

As of 17 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2412.10113.

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

pith.paper-citation-record.v1
2412.10113 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:34:43.439504Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

21 of 21 outbound references displayed

verified exact2
verified fuzzy17
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b0e5f5b3-9c3b-4ecf-9c6f-c9051863e12d · outbound

This paper cites Almousa, K.

Sortable simplicial complexes and their associated toric rings Almousa, K

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.712369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e7452091-d495-453c-9b33-37220d69f6b2 · outbound

This paper cites Benedetti, L.

Sortable simplicial complexes and their associated toric rings Benedetti, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.701786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e1b13019-1e9a-4ca4-b197-94a24c11dd3b · outbound

This paper cites Bruns, J.

Sortable simplicial complexes and their associated toric rings Bruns, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.691977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 796f8718-fab1-41a5-bcaf-2a9d0cb07bad · outbound

This paper cites an unresolved cited work.

Sortable simplicial complexes and their associated toric rings Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:34:43.681913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 45b98163-88bf-412f-a876-9e41a42ed213 · outbound

This paper cites The toric ring of one dimensional simplicial complexes.

Sortable simplicial complexes and their associated toric rings The toric ring of one dimensional simplicial complexes

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:34:43.510684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05244499-a655-4235-a757-20d624032017 · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.671894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 565f3987-cbe0-402e-ac26-df5c7b77f9b4 · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.660052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f5df94af-0892-49fb-b6fe-bffdb3004ac4 · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.649714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aa2991fc-2c19-4468-a6e1-1daccdf0cc7a · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.637197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2103ffd9-7345-4147-86c9-bf814e7feb4c · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.626225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e59811a5-6eb2-45b8-b0ae-11583e1ae324 · outbound

This paper cites Herzog, T.

Sortable simplicial complexes and their associated toric rings Herzog, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.612490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e7332231-ba12-4cc8-baba-3c828c964e58 · outbound

This paper cites Herzog, F.

Sortable simplicial complexes and their associated toric rings Herzog, F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.600373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2f252835-93ad-45ed-9b5c-b1f0f2042879 · outbound

This paper cites Toric rings attached to simplicial complexes.

Sortable simplicial complexes and their associated toric rings Toric rings attached to simplicial complexes

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:34:43.492680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d9de261f-4002-44c5-9e54-84e19241bbe0 · outbound

This paper cites Herzog, A.

Sortable simplicial complexes and their associated toric rings Herzog, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.590710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2cecbd71-b9d0-4669-bddc-94d3cad2afb0 · outbound

This paper cites Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann.

Sortable simplicial complexes and their associated toric rings Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.581561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7f3074ed-c9e1-4af9-8c17-49a11065373b · outbound

This paper cites Normal Rees algebras arising from vertex decomposable simplicial complexes.

Sortable simplicial complexes and their associated toric rings Normal Rees algebras arising from vertex decomposable simplicial complexes

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T16:34:43.418309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55a623c7-0f40-4f16-a3d9-50bad002a195 · outbound

This paper cites Moradi, F.

Sortable simplicial complexes and their associated toric rings Moradi, F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.571090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f7300314-34c3-43c6-8cb0-b3f58bb6bd0f · outbound

This paper cites Ohsugi, T.

Sortable simplicial complexes and their associated toric rings Ohsugi, T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.560579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 77b2f60b-b354-477f-be51-d1d3c89221dd · outbound

This paper cites Ohsugi, T.

Sortable simplicial complexes and their associated toric rings Ohsugi, T

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.548401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e51bc4fb-6132-4570-a6ef-e2b2793c1c0a · outbound

This paper cites Sturmfels, Gr¨ obner Bases and Convex Polytopes, vol.8, American Mathematical Soc., 1996.

Sortable simplicial complexes and their associated toric rings Sturmfels, Gr¨ obner Bases and Convex Polytopes, vol.8, American Mathematical Soc., 1996

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.535066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 99276a32-cc83-41ad-9add-5d4ffd06a758 · outbound

This paper cites Woodroofe, Vertex decomposable graphs and obstruction s to shellability, Proc.

Sortable simplicial complexes and their associated toric rings Woodroofe, Vertex decomposable graphs and obstruction s to shellability, Proc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:34:43.521719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.