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Paper Citation Record · LEDGER

Claus Michael Ringel's main contributions to Gorenstein-projective modules

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2505.12637.

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

pith.paper-citation-record.v1
2505.12637 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:34:35.788918Z

measured 29 of 29 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:09:07.179341Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-05T16:09:13.818261Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3493d35f-7fc2-4b79-a2a9-b74db3b5c289 · outbound

This paper cites Asadollahi, R.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Asadollahi, R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.127401Z

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=2026-08-15T20:34:35.686293Z digest=sha256:694ec533c61ef640c3c90ad4452a1d0e4c00d382476911e5787d8fd7c475583f

Observation 46d37ce7-6b63-403b-b120-e0b538c23b5e · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.001084Z

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=2026-08-15T20:34:35.733516Z digest=sha256:66a97948df15c8d87784336190a7c925734703c79bab5ec6f53e82797f2de67f

Observation 52ccb5c5-25d5-4697-be2a-3dd0ac57c992 · outbound

This paper cites Herzog, S.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Herzog, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.990042Z

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=2026-08-15T20:34:35.737265Z digest=sha256:c9f04cec4c03a39f2d47464e17c0f20b45bc4ab90d90aab35c9e0ad192eb481e

Observation 8c430c69-5dba-40d0-b3c2-125c83b754ac · outbound

This paper cites Kussin, H.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Kussin, H

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.945722Z

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=2026-08-15T20:34:35.751782Z digest=sha256:55c4db15057874625411e2489a693335b49d50b4ba8e0a707821ddea6dc34777

Observation 6a319407-1d03-44ae-ac62-db975b59b418 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.876574Z

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=2026-08-15T20:34:35.781742Z digest=sha256:6b827e8c3b3c7f3dbf6d558d7595bd7f61e3b9ff04ba4314f207b8217197e732

Observation b6d856a5-58c9-4b03-a004-b3eff47ce5f7 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.033075Z

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=2026-08-15T20:34:35.721589Z digest=sha256:f88aba1a9f08a5a595a33e2f968346fed18b3402f39c7332f968591f3a7541d7

Observation 1ad0eda8-651c-4e95-b8ca-9bb41c7a2747 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.911469Z

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=2026-08-15T20:34:35.770383Z digest=sha256:f950d7f79ed75921f40dc1cd3b0a2eff5b93af1fd00d29fd309ef3b7069a7b6e

Observation 9fa803a7-d69e-4392-b20c-bf7e8fe9f30c · outbound

This paper cites Auslander, I.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Auslander, I

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.106560Z

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=2026-08-15T20:34:35.694423Z digest=sha256:f2b3c7c9a66d878c95798705eb555950ca40989b37a20b42b1eebe94584f2645

Observation c3bc0810-a7bc-4515-a797-fd2347a66d65 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 114

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.075989Z

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=2026-08-15T20:34:35.706246Z digest=sha256:015a043644ecea53cead2e0469b12f25b47dc6fb48b3e23df6221513e21926c7

Observation 629b3dd0-2ead-483f-83dd-17621611cf44 · outbound

This paper cites Huang, Z.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Huang, Z

Reference 137

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.967719Z

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=2026-08-15T20:34:35.744216Z digest=sha256:73b634ebcaef2d67f52a9adf9c1c95bda15de943303e28fbb8be484a193dcff3

Observation 705d0abc-0ae0-4132-942b-54c0c165306b · outbound

This paper cites Holm, Gorenstein homological dimensions, J.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Holm, Gorenstein homological dimensions, J

Reference 188

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.978718Z

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=2026-08-15T20:34:35.740883Z digest=sha256:0d0a3479cc27ac300fa8729ebce275ef2ed2f0b04fc53405035fbb3033fe389c

Observation 99eabcb0-4770-4cf4-abcd-381fd7452c37 · outbound

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

Claus Michael Ringel's main contributions to Gorenstein-projective modules Beligiannis, On algebras of finite Cohen-Macaulay type, Adv

Reference 211

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.055235Z

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=2026-08-15T20:34:35.713892Z digest=sha256:7ce33504bd33a7a04a86e4bf309f1b4d5dcca44f6d4e976f2630e13a6cee5ea7

Observation 0e45f11a-3a0c-461c-9978-bd2a35a2e42b · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 227

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.921746Z

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=2026-08-15T20:34:35.762842Z digest=sha256:e9a456bb002c42eeba2afd64a6484adcf3fd53aedc14367707c1aab6fcb54c41

Observation 586f4cd8-98f5-4aea-a8ef-40df3ff72e23 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 232

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.900362Z

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=2026-08-15T20:34:35.774313Z digest=sha256:c77a513572eacfefa9d8f6a743928ca09cf1435c4b6b0ba4e05856c1f9b245d8

Observation 253676b9-5e69-4fd0-947f-d20ef9efc104 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 261

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.933296Z

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=2026-08-15T20:34:35.759111Z digest=sha256:272e5ea4a5f8aa87a3aec7760cd29e5c91bc0a4464b28baab7e879af1beee048

Observation c9009800-fdf2-4312-9091-1d7a012681fd · outbound

This paper cites Iyama, Y.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Iyama, Y

Reference 317

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.956542Z

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=2026-08-15T20:34:35.747823Z digest=sha256:344e5c2c35dc4a61317a404113324edeab2bad63a7ad513839276a47141d9cea

Observation 92bab6b8-fdb0-4395-b235-7f255a466f1a · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 360

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.888014Z

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=2026-08-15T20:34:35.778034Z digest=sha256:52f94174ddf54f1635a105ae185b0a6e18efd332943fbf081d1545d2b480a441

Observation 7780cf64-fec2-4908-9d3d-664271b88255 · outbound

This paper cites Sather-W agstaff, T.Sharif, D.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Sather-W agstaff, T.Sharif, D

Reference 589

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:35.854361Z

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=2026-08-15T20:34:35.788918Z digest=sha256:598d61bb3cb9de5cd774b073a8592635117ef30a076b4cb20ba5d1f7888a4f9c

Observation ed480d7d-b747-48cf-a2cd-a70a12d26ba5 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 1140

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:35.865449Z

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=2026-08-15T20:34:35.785647Z digest=sha256:21efdd6b2c417adbef9d9a583e935f32fca1188cf0d9521c80bf18a734bb17f9

Observation 522f4f52-0b24-49a3-8da8-d245199357a1 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 1454

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.022552Z

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=2026-08-15T20:34:35.725487Z digest=sha256:7307e3f7a08d4d3310eaa27116f32de3845a75547bd840f49ed43f9761dc3fe6

Observation f2382264-4f20-47e1-b758-53bada777df3 · outbound

This paper cites Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra

Reference 1812

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:34:35.843161Z

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=2026-08-15T20:34:35.755179Z digest=sha256:d5d01f3bb76d5ce1cb4b1e4b4fba9afa421511bcc4ffc2be3fb500f0e3f0779f

Observation 576fca54-4a29-40aa-b272-ff594db3e74a · outbound

This paper cites Auslander, I.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Auslander, I

Reference 1969

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.116990Z

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=2026-08-15T20:34:35.690638Z digest=sha256:8a21157fb4193be5056f03fee6c10761ec89c6d4d76e8516320703e33f71d8ce

Observation 54dabd15-a74e-4580-9d20-871eb0f513cc · outbound

This paper cites Beligiannis, The homological theory of contravar iantly finite subcategories: auslander-buchweitz con- texts, gorenstein categories and (co-)stabilization, Com m.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Beligiannis, The homological theory of contravar iantly finite subcategories: auslander-buchweitz con- texts, gorenstein categories and (co-)stabilization, Com m

Reference 1982

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.065563Z

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=2026-08-15T20:34:35.710249Z digest=sha256:0ac46d72effe474b40575143dfbcc99154c2e7bc977db525b31e4d27ccd2ac84

Observation 1c250d06-0803-4693-a2b2-b687913133ee · outbound

This paper cites Auslander, I.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Auslander, I

Reference 1991

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T20:34:36.096725Z

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=2026-08-15T20:34:35.698500Z digest=sha256:6e275178d78914862bb81f740cc76bba5c83e713de2673faf50b44dd15877552

Observation cb651586-3df6-495e-8eec-c6fb6c52e8c4 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 1992

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.011584Z

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=2026-08-15T20:34:35.729274Z digest=sha256:e0255df104251c0c5b9c0f780aa98f8101f9c9caac943fdd359a8d016f2867c4

Observation 1291dbd3-38a0-4d0c-b044-ce78bf122a66 · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 1995

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.085952Z

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=2026-08-15T20:34:35.702429Z digest=sha256:f706ce96db4f1056f6a81ec80023fcdc1c0fd1e5c3ceae0e42b42baa45fd4da2

Observation 97945ebc-367e-45b0-b4ad-083fbe2dd353 · outbound

This paper cites The elementary 3-Kronecker modules.

Claus Michael Ringel's main contributions to Gorenstein-projective modules The elementary 3-Kronecker modules

Reference 1998

Resolution
verified exact
local_arxiv, observed 2026-08-15T20:34:35.825921Z

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=2026-08-15T20:34:35.766258Z digest=sha256:984d0460736094e383c050e0304049bf29693352abbae5a5ecd35ff2fa466700

Observation c029d203-000b-43b4-8a19-5627c0c7f8ff · outbound

This paper cites an unresolved cited work.

Claus Michael Ringel's main contributions to Gorenstein-projective modules Unresolved cited work

Reference 2000

Resolution
unresolved
raw_fallback, observed 2026-08-15T20:34:36.044002Z

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=2026-08-15T20:34:35.717659Z digest=sha256:c4058e69651ab9074f0cae7ca6e915a3c069655e64aabc80aace6763a5889777

Pith citing papers

Observation abb950a4-85d3-4bbe-8cd4-0ba4e51b9a86 · inbound

A survey on Auslander-Gorenstein algebras cites this paper.

A survey on Auslander-Gorenstein algebras Claus Michael Ringel's main contributions to Gorenstein-projective modules

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-05T16:09:13.864288Z

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=2026-08-05T16:09:07.179341Z digest=sha256:63ad702bf57887e5068903157fbdb673b11fb5bd811264db8544f19eee71b961