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Paper Citation Record · LEDGER

Stability for socle-projective categories of type $\mathbb{A}$

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.13578.

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

pith.paper-citation-record.v1
2501.13578 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:57:57.609223Z

measured 28 of 28 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

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 966c9d88-dc13-4f5b-97e9-1d1ad74afcdb · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.888685Z

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.

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Observation c5bef38c-9b95-4882-a6d6-9e9c5bfbc4e5 · outbound

This paper cites Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk, Vladimir V.

Stability for socle-projective categories of type $\mathbb{A}$ Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk, Vladimir V

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.879582Z

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=2026-08-10T15:57:57.524310Z digest=sha256:31d31f45653e96507219f4c2236ba429bc769fb11cf3c470fc454389e22929dd

Observation 2d4ef8a8-8c1a-4843-a13c-61a6ed27e1c8 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.870492Z

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=2026-08-10T15:57:57.527741Z digest=sha256:55f2e728c270ea8d2fb95476721fa8bdf89e91d4e8cf6d9a04f0843ae7415588

Observation a2883666-c186-499e-b858-35ed3f66ea5b · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.861200Z

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=2026-08-10T15:57:57.531336Z digest=sha256:3731facce6aaa2b5d2686d0c9f8b00a0dbdfdcb6d5d0d9ede5d8e174b1c6a8a3

Observation 5a980867-d30a-4ad3-af60-8457f5c48bf7 · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.852606Z

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=2026-08-10T15:57:57.535005Z digest=sha256:37be4de76865389ea78500eb8080a887f7b8d436e74e2f15f1c259711989eac0

Observation 1cc05798-089d-4365-85e3-2ab6a9079fcc · outbound

This paper cites 568 (2019), 155–.

Stability for socle-projective categories of type $\mathbb{A}$ 568 (2019), 155–

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.843645Z

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.

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Observation 5e8fb388-a4eb-499a-aa90-955b7d92338f · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.833758Z

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=2026-08-10T15:57:57.542140Z digest=sha256:a1a42515516bb9c454749735e326764aa6a5b3e756a48ce94101d9a93038b902

Observation 75536681-b495-44e1-bf19-a03be724539b · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.824911Z

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=2026-08-10T15:57:57.545634Z digest=sha256:7417809c9e2b185ce8214042badf124bb204567c17a3d564a78eaad746444917

Observation b7e28ab4-2e53-4b26-90ed-a2f7d407f3b6 · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.815765Z

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=2026-08-10T15:57:57.548961Z digest=sha256:14671f1c7268721d5217daaf3c07dd73c3da5c00f6a58d26032621ab54b4574e

Observation 4d0c56ed-b1df-418d-b8b9-b234051b40f6 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.806944Z

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.

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Observation 2510551a-0496-4c6f-bc58-a9bbda47a00e · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.798157Z

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.

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Observation 3b026fb2-41fb-4b55-a1be-a2d0aa43a547 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.789117Z

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=2026-08-10T15:57:57.559225Z digest=sha256:14bb63fe4015ee042a3a60e511a517fc2c7d0df901817ee948b77d5fd894ef4a

Observation c2f39ef6-e0b4-49c7-8b81-2b63b2dac541 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.780115Z

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=2026-08-10T15:57:57.562600Z digest=sha256:f7de2ba7f2cf8b2f011d996cd00e4c1b516c35f4e33ab13aef9619258d0bca66

Observation 8a20b1a9-19e6-4cdc-ba64-fb447bf66bfa · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.771030Z

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=2026-08-10T15:57:57.565891Z digest=sha256:839040b279003937a24f26e137614a6f8415e4de658e49ef740e22a39d7f644a

Observation 4747e696-3810-48ce-8d94-e60ae821f015 · outbound

This paper cites A Survey on Han's Conjecture.

Stability for socle-projective categories of type $\mathbb{A}$ A Survey on Han's Conjecture

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:57:57.640392Z

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=2026-08-10T15:57:57.568909Z digest=sha256:3530e9194ddf048437452f234ee47bc91c928cc22dbd4ceae8aa40b00a63bc16

Observation 649f47e6-5b5b-4bb2-b706-296a3372565d · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.762114Z

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=2026-08-10T15:57:57.572531Z digest=sha256:a087ec5915b6bbd08d800050b7286e2965a35bcefaca672a692faca0976931d7

Observation 54c89d32-1d39-4745-875a-6242faa3b913 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.753319Z

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=2026-08-10T15:57:57.575570Z digest=sha256:0d1d556f37dbabc075550fb9780cdf853974b99d5b6921a2d6ec66f09caa53b4

Observation e64b8a7a-2886-4746-9925-9bc214219cc1 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.744368Z

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=2026-08-10T15:57:57.578505Z digest=sha256:4d2d3c4b214a0e65ce617f9a561a5835942813bb1c2adef23befadac3810f9e2

Observation 2aa7e181-7d44-429e-a511-57f2dda82872 · outbound

This paper cites Algebra 197 (1997), no.

Stability for socle-projective categories of type $\mathbb{A}$ Algebra 197 (1997), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.735480Z

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=2026-08-10T15:57:57.581489Z digest=sha256:54feccd389d6396c142d37bf59e502476cb162d7798233095f8d6b68081015be

Observation 4c8858eb-216d-40a5-b44a-378105ae3035 · outbound

This paper cites 437 (2012), no.

Stability for socle-projective categories of type $\mathbb{A}$ 437 (2012), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.726505Z

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=2026-08-10T15:57:57.584485Z digest=sha256:ae05f48cde40d2cdbf75c69d096eb18b98185826861f1ce43c7dcbe6d025b278

Observation 240089fa-dfd9-4568-afda-cf3ba47b4233 · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.717412Z

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=2026-08-10T15:57:57.587786Z digest=sha256:d9c38f353fa6390150131a4ef0bc39d98ab9e474172b1031cf5289e1f61862c7

Observation 19286d7f-beb2-4972-8a31-4bfce6562c13 · outbound

This paper cites London Math.

Stability for socle-projective categories of type $\mathbb{A}$ London Math

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.708393Z

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=2026-08-10T15:57:57.590788Z digest=sha256:4e85c0f828bca37a7f1ffbe847c6c34f56e960b0790b77f51c10ad44315de520

Observation ce5a0121-8242-4164-bbb7-302325dbcead · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.699412Z

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=2026-08-10T15:57:57.593990Z digest=sha256:dd1426562948ffa5d70c1510526b67057e2dbfa17f6651e1b6b48cb3bc9903d6

Observation e1014ba2-f4b0-4e0e-92c4-ac07cf486093 · outbound

This paper cites an unresolved cited work.

Stability for socle-projective categories of type $\mathbb{A}$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:57:57.690168Z

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=2026-08-10T15:57:57.597255Z digest=sha256:e921b45cc8bda152a57f6c3f42cc317eeda837caa54af040f8703c8a909e12ee

Observation d2bc35e6-deae-478f-af57-0a48b61da790 · outbound

This paper cites 4, Gordon and Breach Science Publishers, Montreux, 1992.

Stability for socle-projective categories of type $\mathbb{A}$ 4, Gordon and Breach Science Publishers, Montreux, 1992

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.680527Z

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=2026-08-10T15:57:57.600299Z digest=sha256:6ce43328db2109b825b4a38fa77c65b648a0e386f41650a75ef8d8b8c82ac383

Observation 60c06da6-f651-433f-b4f4-419364e82e61 · outbound

This paper cites Pure Appl.

Stability for socle-projective categories of type $\mathbb{A}$ Pure Appl

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.670014Z

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=2026-08-10T15:57:57.603171Z digest=sha256:95ce081e5c759e103656925863e89c7b92a9caf164c550121c414103b5d5542c

Observation 26bdca4d-3695-4e49-95b2-b0edf49aabf2 · outbound

This paper cites 433 (2010), no.

Stability for socle-projective categories of type $\mathbb{A}$ 433 (2010), no

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.660658Z

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=2026-08-10T15:57:57.606274Z digest=sha256:0d0fc77e96a1bdd1e28ea7f8e53f5835c0e50f9b66bfe33bcf699197a5fbd400

Observation 574433e6-d3e8-44dc-842c-6915c1d948e5 · outbound

This paper cites Represent.

Stability for socle-projective categories of type $\mathbb{A}$ Represent

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:57:57.650927Z

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=2026-08-10T15:57:57.609223Z digest=sha256:a0e835bd64356a3ab687245f05acbe170ed9a9d2971bb93cf395c83624f6a2de

Pith citing papers

No inbound Pith citation observations are available.