Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:34:43.439504Z
Paper Citation Record · LEDGER
Sortable simplicial complexes and their associated toric rings
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.