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Paper Citation Record · LEDGER

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum

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.

pith.paper-citation-record.v1
2412.12860 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:06:00.534364Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

33 of 33 outbound references displayed

  • verified exact2
  • verified fuzzy21
  • unresolved10
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dfa94067-e6ff-480a-bb76-78e9b619663c · outbound

This paper cites Aoyama and S.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Aoyama and S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.373458Z

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.

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Observation 8f14cb1f-60a5-436c-a2ca-af0b9cc291e8 · outbound

This paper cites Bagherpoor and A.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Bagherpoor and A

Reference 2

Resolution
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raw_fallback, observed 2026-08-11T14:06:01.358688Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:06:00.386940Z digest=sha256:1d39b6166e13714c17f4b0fe449864c7b44aa544fd33708d1d671dff47eed737

Observation 4d8fbfcd-7060-447f-a0bf-0d6fa94daa75 · outbound

This paper cites Bruns and J.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Bruns and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.342996Z

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.

source=pdf_text observed=2026-08-11T14:06:00.391751Z digest=sha256:8dce00d8bc6f811a217588c0c44e4799c534bb5b9e9a8916a1148c93f78fe7ac

Observation 82d0c543-e266-4e0c-9199-60094965998b · outbound

This paper cites Bj¨ orner,Topological methods, In: Handbook of combinatorics , 1995.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.328331Z

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.

source=pdf_text observed=2026-08-11T14:06:00.396912Z digest=sha256:e1b1d30f86b1781776cb5e2e36e9b8db0fb203d256a5ce5ad39124eeb30d4b68

Observation 2b270fe1-f20e-4c8e-9b93-17a17352a1a2 · outbound

This paper cites Caminata and F.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Caminata and F

Reference 5

Resolution
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raw_fallback, observed 2026-08-11T14:06:01.314130Z

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.

source=pdf_text observed=2026-08-11T14:06:00.401933Z digest=sha256:bbb06cd179c17f09a173d26b3e34aa660474f8bb6edd338d9a434e82c5d4a9d8

Observation 0bde0053-0daf-44bb-a2ec-5dbf0be46290 · outbound

This paper cites Traces of semi-invariants.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Traces of semi-invariants

Reference 6

Resolution
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no resolver link, observed 2026-08-11T14:06:00.406774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.406774Z digest=sha256:a1cf3a5a7528906ea8467764eb90d9ff77e3fd682e0c9450344670b4d82a0165

Observation 7582ee01-82a7-4634-836d-6d40d8b16fc0 · outbound

This paper cites an unresolved cited work.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work

Reference 7

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:06:00.412757Z digest=sha256:040716f155e53c7be0367d45f118453ad8c0c17df390b1ab5baf8684be0b00fa

Observation a8794c98-0904-422c-ad72-d61ec7eaee9b · outbound

This paper cites Ding, A note on the index of Cohen–Macaulay local rings , Communications in Algebra 21 (1993), no.

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

Resolution
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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.

source=pdf_text observed=2026-08-11T14:06:00.417371Z digest=sha256:4185c261dbcbd29ba6b2ed2b7f546a91afe8bf53a5e9002f400584912693733a

Observation c9aef35e-4941-4f99-8cbc-e7a8005c0b2e · outbound

This paper cites The canonical trace of Cohen-Macaulay algebras of codimension 2.

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

Resolution
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no resolver link, observed 2026-08-11T14:06:00.422041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.422041Z digest=sha256:5913717269f5e22be824de5cae5e4fea2e1db66eeab2d2ae6a41210c73426c47

Observation b9edafdf-183d-48c9-8f5a-ece5042c35e8 · outbound

This paper cites Ficarra, J.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Ficarra, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.269498Z

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.

source=pdf_text observed=2026-08-11T14:06:00.426898Z digest=sha256:72579c675f1ad28222fa63fd7cbd128c444adbfacfcc3583820d2c09f3db5692

Observation b25c6043-64e8-412f-bf0d-0ebba6931621 · outbound

This paper cites Gasanova, J.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Gasanova, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.253864Z

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.

source=pdf_text observed=2026-08-11T14:06:00.430992Z digest=sha256:b381d94b182a6a3bfd0878484730c760582742b4daddf961ade1d7d51e4ae535

Observation 1a42daca-b77e-495a-b6d3-cb3f1f601d5b · outbound

This paper cites an unresolved cited work.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:06:01.239256Z

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.

source=pdf_text observed=2026-08-11T14:06:00.435732Z digest=sha256:a466ffbe68436d54bb60e70d7f3a5d2fb41b66f7c7719da4514a24eb122960c0

Observation 00713788-c40f-4605-a553-a91704766ed9 · outbound

This paper cites Gr¨ abe,The canonical module of a Stanley–Reisner ring , Journal of Algebra 86 (1984), no.

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

Resolution
verified fuzzy
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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.

source=pdf_text observed=2026-08-11T14:06:00.439967Z digest=sha256:be1839c7307eb7a28dbb30c994fbb175e6c03638a9280edc36fb30c393ecda81

Observation 65729bf7-7487-41c4-bd62-425426d03f06 · outbound

This paper cites Gr¨ abe, ¨Uber den Stanley–Reisner-Ring von Quasimannigfaltigkeit en, Math.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.211160Z

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.

source=pdf_text observed=2026-08-11T14:06:00.444169Z digest=sha256:d48941b16307d78729ea0e3ac967c0f4bac36b56ddbae910289743724d904dd2

Observation ce1ed0dd-9486-4034-b9cb-555e76e8aa2c · outbound

This paper cites an unresolved cited work.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:06:01.196767Z

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.

source=pdf_text observed=2026-08-11T14:06:00.448486Z digest=sha256:05e9b8d3dc3d29f2bfcbf6eb549f09950f59bed7992b2780f7f95b0572f9c22c

Observation a190b299-e961-46e9-922e-c68acdd248e5 · outbound

This paper cites Herzog and E.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog and E

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.181395Z

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.

source=pdf_text observed=2026-08-11T14:06:00.452956Z digest=sha256:53512ac3904820a172c16a4a90c4593a4e36b6a6998427ae2e011afd43a2f1bc

Observation 2707392c-e4dc-4b0b-bccd-93177e53c0a5 · outbound

This paper cites Herzog, T.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.166423Z

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.

source=pdf_text observed=2026-08-11T14:06:00.457531Z digest=sha256:e1c058eacb0d497a267ca2d72448bcb7b1f19b3adf6257a1907d7bbc8e689b67

Observation 644a37ea-9ba7-4489-b904-76b3af4ec543 · outbound

This paper cites Herzog, F.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Herzog, F

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.151852Z

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.

source=pdf_text observed=2026-08-11T14:06:00.463031Z digest=sha256:318077cfb2f458557382030df3ec5c3e2b4654abe088ef80104487696106add7

Observation 8ca84ad8-41b3-4400-85ed-c40fa5bd85b3 · outbound

This paper cites Hibi and D.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Hibi and D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.137005Z

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.

source=pdf_text observed=2026-08-11T14:06:00.468229Z digest=sha256:d194c3249d267fa1665f60f467a135af4b6579807656562ef5ef970d8312bfdc

Observation 1b558f50-3cda-4294-9d51-d69b15f5211e · outbound

This paper cites Huneke and A.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Huneke and A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.121876Z

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.

source=pdf_text observed=2026-08-11T14:06:00.473122Z digest=sha256:2775c963b05880ec1ec78d771425c5c31d55c023bcde5497c59b5cf9313410b8

Observation 843a23f9-fa5d-4e95-9e26-d1530c724449 · outbound

This paper cites On nearly Gorenstein affine semigroups.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum On nearly Gorenstein affine semigroups

Reference 21

Resolution
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no resolver link, observed 2026-08-11T14:06:00.477563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.477563Z digest=sha256:d9ff0f33b49091d2cf9c83b44d49184ad7dcebd5810691a94fd5398e6704f55b

Observation 87fcacb6-e99c-4968-8b79-9271420552fd · outbound

This paper cites Nearly Gorenstein local rings defined by maximal minors of a $2 \times n$ matrix.

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

Resolution
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no resolver link, observed 2026-08-11T14:06:00.482465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.482465Z digest=sha256:3df261f9037e2091d8b09a64befc6af1b327c22519e791c55f36252e912517a9

Observation 91170bc1-9c1b-49e0-b471-a835d6dcd9a6 · outbound

This paper cites The chain algebra of a pure poset.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum The chain algebra of a pure poset

Reference 23

Resolution
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no resolver link, observed 2026-08-11T14:06:00.487274Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.487274Z digest=sha256:e7c4e53d1d0ee1978d55ecf11c8c5b303ba37e695edb37aeab0836c7b621ccad

Observation 5c9ed93e-da74-4bcd-ac4e-c45e49403a00 · outbound

This paper cites Annihilators of (co)homology and their influence on the trace Ideal.

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

Resolution
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no resolver link, observed 2026-08-11T14:06:00.492279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.492279Z digest=sha256:8b78cb08dcf5dc41f9d2a45dca3d08a9945c3a90966a5196b4a312e5af7d4a45

Observation b5b1eb7a-ad4f-45d3-84a7-b47f04027b01 · outbound

This paper cites Matsuoka and S.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Matsuoka and S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.106084Z

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.

source=pdf_text observed=2026-08-11T14:06:00.497126Z digest=sha256:7d24b45e88f46451541f5907f10ef6e9e38d086da6450924551b8411bd843664

Observation 458f2ffa-4560-4803-b11c-a1a84531d7e3 · outbound

This paper cites Nearly Gorenstein projective monomial curves of small codimension.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Nearly Gorenstein projective monomial curves of small codimension

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:06:00.703947Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T14:06:00.501749Z digest=sha256:a34eb86c98c9c53126ea1883f92d10ae4fc7bf978f3d06e298dfd2a585ab2999

Observation ae96ffe3-8139-4c84-a17e-8c940846921c · outbound

This paper cites ↑2, 10 12 S.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum ↑2, 10 12 S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.088556Z

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.

source=pdf_text observed=2026-08-11T14:06:00.506577Z digest=sha256:d84cfd04249d8c00a1f5c533a9a052e6ebe2f7d9d39a9c33dfd892aa1600c580

Observation d02d5ba0-a73c-4c30-8469-c43ba03d3c29 · outbound

This paper cites an unresolved cited work.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Unresolved cited work

Reference 29

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no resolver link, observed 2026-08-11T14:06:00.511070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:06:00.511070Z digest=sha256:fd7f55702b44cc4e188e7006be22101f2b7105a53b169b5d27a1b53f3d0408f8

Observation 51297246-108e-46dd-9579-e49b62d39db5 · outbound

This paper cites 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.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.072247Z

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.

source=pdf_text observed=2026-08-11T14:06:00.515691Z digest=sha256:d982073179291969603e958781c72dd558d47c9feb56464d1593f2607a5d9b15

Observation 86ef9f51-d29d-47b5-938b-7bd1f2b6e022 · outbound

This paper cites Miyazaki and J.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Miyazaki and J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.055739Z

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.

source=pdf_text observed=2026-08-11T14:06:00.520566Z digest=sha256:ec5ef9229887dcd25bacdc6a57c1e8a3faad96218afdeef87522aee1aa12dd05

Observation f108d426-fb8b-47cf-a8e3-8a1f78a5fcb9 · outbound

This paper cites Moscariello and F.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum Moscariello and F

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.040881Z

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.

source=pdf_text observed=2026-08-11T14:06:00.525000Z digest=sha256:2c95f87eb08b5701d144a47db6953b03d0686eae2d50b88e59f2f3d8e84940cb

Observation 5dce5c0e-3234-472e-a634-3141906ed858 · outbound

This paper cites On Nearly Gorenstein Simplicial Semigroup Algebras.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum On Nearly Gorenstein Simplicial Semigroup Algebras

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:06:00.577805Z

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.

source=pdf_text observed=2026-08-11T14:06:00.529608Z digest=sha256:29fdf9bb9b157806b666a379c4079c44dc4bea1aa70b3fecc972d58411f1d036

Observation d5ee533e-4242-40af-9cb8-2c32fba47d48 · outbound

This paper cites P Stanley, Combinatorics and Commutative Algebra , V ol.

The canonical trace of Stanley-Reisner rings that are Gorenstein on the punctured spectrum P Stanley, Combinatorics and Commutative Algebra , V ol

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:06:01.025335Z

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.

source=pdf_text observed=2026-08-11T14:06:00.534364Z digest=sha256:fab83bda04e2cfc9a58e2b40d5efff4ac6cfd3373d1f432001b83bcdb2b2d509

Pith citing papers

No inbound Pith citation observations are available.