Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:06:00.534364Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2412.12860.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:06:00.534364Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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
33 of 33 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dfa94067-e6ff-480a-bb76-78e9b619663c · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Aoyama and S
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8f14cb1f-60a5-436c-a2ca-af0b9cc291e8 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Bagherpoor and A
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4d8fbfcd-7060-447f-a0bf-0d6fa94daa75 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Bruns and J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 82d0c543-e266-4e0c-9199-60094965998b · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Bj¨ orner,Topological methods, In: Handbook of combinatorics , 1995
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2b270fe1-f20e-4c8e-9b93-17a17352a1a2 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Caminata and F
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0bde0053-0daf-44bb-a2ec-5dbf0be46290 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Traces of semi-invariants
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7582ee01-82a7-4634-836d-6d40d8b16fc0 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a8794c98-0904-422c-ad72-d61ec7eaee9b · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Ding, A note on the index of Cohen–Macaulay local rings , Communications in Algebra 21 (1993), no
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c9aef35e-4941-4f99-8cbc-e7a8005c0b2e · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum The canonical trace of Cohen-Macaulay algebras of codimension 2
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9edafdf-183d-48c9-8f5a-ece5042c35e8 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Ficarra, J
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b25c6043-64e8-412f-bf0d-0ebba6931621 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Gasanova, J
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1a42daca-b77e-495a-b6d3-cb3f1f601d5b · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 00713788-c40f-4605-a553-a91704766ed9 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Gr¨ abe,The canonical module of a Stanley–Reisner ring , Journal of Algebra 86 (1984), no
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65729bf7-7487-41c4-bd62-425426d03f06 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Gr¨ abe, ¨Uber den Stanley–Reisner-Ring von Quasimannigfaltigkeit en, Math
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce1ed0dd-9486-4034-b9cb-555e76e8aa2c · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a190b299-e961-46e9-922e-c68acdd248e5 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog and E
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2707392c-e4dc-4b0b-bccd-93177e53c0a5 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog, T
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 644a37ea-9ba7-4489-b904-76b3af4ec543 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog, F
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8ca84ad8-41b3-4400-85ed-c40fa5bd85b3 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Hibi and D
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1b558f50-3cda-4294-9d51-d69b15f5211e · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Huneke and A
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 843a23f9-fa5d-4e95-9e26-d1530c724449 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum On nearly Gorenstein affine semigroups
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87fcacb6-e99c-4968-8b79-9271420552fd · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Nearly Gorenstein local rings defined by maximal minors of a $2 \times n$ matrix
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91170bc1-9c1b-49e0-b471-a835d6dcd9a6 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum The chain algebra of a pure poset
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c9ed93e-da74-4bcd-ac4e-c45e49403a00 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Annihilators of (co)homology and their influence on the trace Ideal
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5b1eb7a-ad4f-45d3-84a7-b47f04027b01 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Matsuoka and S
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 458f2ffa-4560-4803-b11c-a1a84531d7e3 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Nearly Gorenstein projective monomial curves of small codimension
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ae96ffe3-8139-4c84-a17e-8c940846921c · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum ↑2, 10 12 S
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d02d5ba0-a73c-4c30-8469-c43ba03d3c29 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51297246-108e-46dd-9579-e49b62d39db5 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Miyazaki, On the Gorenstein property of the Ehrhart ring of the stable s et polytope of an h-perfect graph , International Electronic Journal of Algebra 30 (2021), no
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 86ef9f51-d29d-47b5-938b-7bd1f2b6e022 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Miyazaki and J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f108d426-fb8b-47cf-a8e3-8a1f78a5fcb9 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Moscariello and F
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5dce5c0e-3234-472e-a634-3141906ed858 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum On Nearly Gorenstein Simplicial Semigroup Algebras
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d5ee533e-4242-40af-9cb8-2c32fba47d48 · outbound
The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum P Stanley, Combinatorics and Commutative Algebra , V ol
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
No inbound Pith citation observations are available.