Pith. sign in

Paper Citation Record · LEDGER

Virtually Gorenstein Artin algebras are weakly Gorenstein

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2608.10049.

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

pith.paper-citation-record.v1
2608.10049 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:28:33.635822Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2879f189-c381-4117-9754-8b2b97e3df98 · outbound

This paper cites Asensio Mayor, J.

Virtually Gorenstein Artin algebras are weakly Gorenstein Asensio Mayor, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:35.073483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.092492Z digest=sha256:44c213c7462c6e4d60a924e3b21f539b3f1095334873f43549c0433eaa71f430

Observation 878e044c-eaf3-4b88-bd26-d1081d2f6f38 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.981277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.098482Z digest=sha256:f2d371200a6b91a27c31fcff0e18d123ee502261819c389ede9315a736f59503

Observation 780b877e-432a-443c-b7f9-29d707ecc14c · outbound

This paper cites Auslander, I.

Virtually Gorenstein Artin algebras are weakly Gorenstein Auslander, I

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.935461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.102887Z digest=sha256:4adef40980c2d0a72d46ba1e57a39f583dc528c6fc27e7460cbcbf5b4da018f6

Observation a64eb048-ff84-488b-9069-8ea43e8896c5 · outbound

This paper cites Auslander, I.

Virtually Gorenstein Artin algebras are weakly Gorenstein Auslander, I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.922239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.107142Z digest=sha256:b9864bd21940d1c6c3df106ce72595c50b0eec031b5a9cd47ee9233fc24b5546

Observation 80b885c3-e0d1-46cc-980c-56929d807062 · outbound

This paper cites Auslander, I.

Virtually Gorenstein Artin algebras are weakly Gorenstein Auslander, I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.910425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.111177Z digest=sha256:ce61194c29d0f539cea58681d4427b3b6b58af5c4860833dede3d1228e8107b6

Observation 763527ba-a072-48ad-8c0e-53844fce5eff · outbound

This paper cites Auslander, I.

Virtually Gorenstein Artin algebras are weakly Gorenstein Auslander, I

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.897820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.188160Z digest=sha256:3e923021faaa20ca0dd20e4fd095565fc42718b7131c79f3951d44b426a6e9af

Observation 3679b8c9-8d55-446e-9956-9cbddcf19434 · outbound

This paper cites Beligiannis, Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras,J.

Virtually Gorenstein Artin algebras are weakly Gorenstein Beligiannis, Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras,J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.887022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.267026Z digest=sha256:3aa3e4e4060e2c361709fc746558c25bac218980b66509ce130fcabda7254270

Observation 13684732-7741-4310-8ded-111ca26d2c70 · outbound

This paper cites Beligiannis, On algebras of finite Cohen-Macaulay type,Adv.

Virtually Gorenstein Artin algebras are weakly Gorenstein Beligiannis, On algebras of finite Cohen-Macaulay type,Adv

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.802617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.362423Z digest=sha256:5be8cc90601176d72756c8bab175da30a92af3b6af434861faae42a68145315a

Observation a42e504a-9dcb-44f6-a3b4-edbbdaa06363 · outbound

This paper cites Beligiannis, H.

Virtually Gorenstein Artin algebras are weakly Gorenstein Beligiannis, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.789688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.420520Z digest=sha256:4b3f88930b6732d51148a3dd186afb89cb712447adb5fff192b98f6eb86d938d

Observation 587419b3-535b-4dd6-afb0-16df9dc99b89 · outbound

This paper cites Beligiannis, I.

Virtually Gorenstein Artin algebras are weakly Gorenstein Beligiannis, I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.777012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.462107Z digest=sha256:8958a3d685d849e5cf434dc15d6278e052b7c234020c976363aed31703ba6db9

Observation c8c19e27-5659-4c79-b247-51b50c18fe0b · outbound

This paper cites Cummings, Left-right symmetry of finite finitistic dimension,Bull.

Virtually Gorenstein Artin algebras are weakly Gorenstein Cummings, Left-right symmetry of finite finitistic dimension,Bull

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.764998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.477275Z digest=sha256:f99e34bcccd5201284704060b110683c7f2c28baf3d886d678332247e43a204f

Observation e529cae8-0639-4c74-befb-d750b5d1f5ea · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.613222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.517143Z digest=sha256:1c7d0c8f0d9aa58d3ba27e95229286f02b05e4c79e4fab3189125819dda6b9e7

Observation 61a63f69-4d40-49d1-8d29-70a6f9cbe068 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.471540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.558198Z digest=sha256:ec791b00326673af0bdabc017255c727eb742d80f54adce7bf8fe86bc62c81d1

Observation 7d3b99de-16ec-44a8-a95f-2d084ccd17d3 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.460291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.562340Z digest=sha256:e0ddc54888b1050c8cc30e7b14a0ccb0f3e8a1ce5e4bed63b09bfe1f8b1ed2be

Observation 21c9e820-8509-4ce9-a20a-8b386c786784 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.448238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.566079Z digest=sha256:ea65c330741b353fe48c094cca05c37e05aa91106dcf07652c913f0b1b6ad05c

Observation 7841d135-de38-48b3-8e6d-698d25c1caf5 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.396497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.569661Z digest=sha256:54def595b6749e3275b03e8174eb655d17a47c5b562176c6edea5a18d85ebc1f

Observation c4939ecd-c204-43b8-b105-ad66a9e92baf · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.366700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.573133Z digest=sha256:d49284069062db234dfeaee957cccd28f467ba65fb9c3fc287f0317af65d7239

Observation b3d1c358-effd-4439-b98d-d593c062a867 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.354200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.577306Z digest=sha256:f49d98e9eced1f26b45a2092afd84bff79453d9b4a7ac2dcac1cd44b6394d309

Observation fc3ee73d-8e65-4ad0-9ea6-b790ed6a2753 · outbound

This paper cites Gillespie, A.

Virtually Gorenstein Artin algebras are weakly Gorenstein Gillespie, A

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.300525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.581470Z digest=sha256:9aa43cb4c4ae5a09fe3c0942481c8aea3e68f26c0ac63a787d2bcf17fe051034

Observation ecbd3fd2-0645-4928-ae46-4782a8ebb0dc · outbound

This paper cites G ¨obel, J.

Virtually Gorenstein Artin algebras are weakly Gorenstein G ¨obel, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.258887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.585781Z digest=sha256:1b5dcf4bc48e33b3f053b886a58e4cebcf244320ca152c05eb6d9a2ff23c118d

Observation aa62f17d-f558-4be6-8f05-0d1967f8fc02 · outbound

This paper cites Holm, Rings with finite gorenstein injective dimension,Proc.

Virtually Gorenstein Artin algebras are weakly Gorenstein Holm, Rings with finite gorenstein injective dimension,Proc

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:34.111169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.590354Z digest=sha256:9f9989d3332026918b929d1777caa66a04b1dcb1178e481c5518b128069d78ad

Observation 74b9567d-8a75-47b6-acb1-b7f87e98e404 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.020686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.594305Z digest=sha256:8a5ab0155e62d12aafecdfa97245b0987a309ee34b728431a35756a5af0f9838

Observation 346b6ab7-97ab-4d72-af25-8f3691a1e8fc · outbound

This paper cites On strongly G-regular rings.

Virtually Gorenstein Artin algebras are weakly Gorenstein On strongly G-regular rings

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:28:33.675551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.598557Z digest=sha256:1396d036f9b8cbc2985e2192e460050494f24dd9dc10db26911d020bf06be63f

Observation f4555358-788d-4dd8-96e9-b912cd41e794 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:34.007584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.603244Z digest=sha256:48e675693e5ced72b44661e1fbf4ddae5bf8435b39d4885e7ee14d8a2b9b1876

Observation c8db818b-f2c2-4110-aba5-c1d512d81189 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:33.994474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.606977Z digest=sha256:93e5f657cb7c649ac5c1b7bd274c8edaca5f5acb0892597dbfce588b15922df8

Observation a136b717-a24a-4bdc-90f7-3dbaa72fbf4b · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:33.981096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.610956Z digest=sha256:c1516dc7e4c5e3738cb60398fa8bed290bf310c6773c1c392587fbd1d24c251c

Observation da9bbcf7-dc3c-4722-b604-04510faabe30 · outbound

This paper cites Moradifar, J.

Virtually Gorenstein Artin algebras are weakly Gorenstein Moradifar, J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:33.969190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.614924Z digest=sha256:258f5e7a960a4721e3452692f551e3dfdd3137e631c60a56c8f080107f69a481

Observation f080b301-675a-4a62-992e-19d6c3db228e · outbound

This paper cites Nakayama, On algebras with complete homology,Abh.

Virtually Gorenstein Artin algebras are weakly Gorenstein Nakayama, On algebras with complete homology,Abh

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:33.954641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.619030Z digest=sha256:fe2bd2354533423f2daed227326be03bc4e1f9e7cc0b05b5bb746f02b586c2a0

Observation 9db2fc28-8ad3-47c9-9e1a-56d4ffec0095 · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:33.941777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.623132Z digest=sha256:a0f4a57df1b1d7731becefddba078c21093c880396433b8556be1b4982fc5eaf

Observation 0ed20aec-ec4b-40c6-9276-3861e2f1df3b · outbound

This paper cites an unresolved cited work.

Virtually Gorenstein Artin algebras are weakly Gorenstein Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T04:28:33.928381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.627505Z digest=sha256:3942913a760043049a3109ff280994c611b3a006b67f6ec44b67e504b181d447

Observation 57a5e940-71cc-4264-a507-769c1ef546e0 · outbound

This paper cites ˇSaroch, J.

Virtually Gorenstein Artin algebras are weakly Gorenstein ˇSaroch, J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:33.914427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.631639Z digest=sha256:dc81bcb9ea1d15c810bf9035d17aee72bf007ca9080345f1862d8625f9793e7b

Observation 46e4cda7-dce8-412e-827f-53a400a046f4 · outbound

This paper cites Tachikawa,Quasi-Frobenius rings and generalizations: QF-3and QF-1rings, Notes by Claus Michael Ringel.

Virtually Gorenstein Artin algebras are weakly Gorenstein Tachikawa,Quasi-Frobenius rings and generalizations: QF-3and QF-1rings, Notes by Claus Michael Ringel

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:28:33.740712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-14T04:28:33.635822Z digest=sha256:ce5758647644f15a9f3168b98086eac9f81fd7935167d2b70b6ed7187234ad57

Pith citing papers

No inbound Pith citation observations are available.