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Paper Citation Record · LEDGER

A relative version of Bass' theorem about finite-dimensional algebras

As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2507.15425.

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

pith.paper-citation-record.v1
2507.15425 v4

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T04:29:16.223367Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T22:04:56.776136Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-04T22:04:56.943037Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact6
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6c2d3b0a-832d-4afc-995f-68d45dbfb5ae · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.906640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:31bc0247d7726424417eb07552e331bbe466e429f4a92b593ad37510b4e459ed

Observation 15d88817-dfed-4fec-84af-858534fa3de0 · outbound

This paper cites Periodic modules and acyclic complexes.

A relative version of Bass' theorem about finite-dimensional algebras Periodic modules and acyclic complexes

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.711472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:59e09d72e6651f5ecb57bf08777c046d371be4963099150a7f7134a2c18c37b1

Observation 2d07cd18-0051-44e1-a644-e728992ac8f2 · outbound

This paper cites Bican, R.

A relative version of Bass' theorem about finite-dimensional algebras Bican, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T04:32:58.913847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:74c4ebe55134e089b43c0233e47e2cb836e8c82da7f3ba3666976be24d443b1b

Observation d0a48e4f-686b-47c2-b14e-fe899c04ee90 · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.916588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:0cb19070ce4c54da0db91bd11364995d41ad20da8598246d34e884c923a19121

Observation 5ec2963f-2833-4607-b3a7-fc7ae0827cfa · outbound

This paper cites Cartan, S.

A relative version of Bass' theorem about finite-dimensional algebras Cartan, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T04:32:58.908058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:1bd6582d04a5b24d49534f63ecf62b56a02e2ce177d6df2200edbcca918a50ff

Observation 4a308dfb-cf5c-4407-9279-c956cd27453d · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.898504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:10e6490427c9d84cb0a88c3c0ced5df75a266f6b03db4cc015553d5cf003bde3

Observation 85b08727-95ff-4f24-93c4-4de8fcb4568b · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.910919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:dc4a798092c6280f137aca94f3ca2eb3098ebca1c6cd8570ce92c3434a4a4a6c

Observation 32863d4b-f058-48bf-a735-5d6abd508ff7 · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.901173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:3a8d3b343e54eb634a585d1941c78f76fb368ca54d6e6e380e5de3416b99fe09

Observation 5cfdb618-a2e9-4098-8300-156a7c8e5028 · outbound

This paper cites G¨ obel, J.

A relative version of Bass' theorem about finite-dimensional algebras G¨ obel, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T04:32:58.895888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:000918e3416f80ffcfea6cbac54ac4ecfae593c6086b8c7ff6d3920c4a0c209e

Observation 98a2b732-fe25-41ff-94aa-2ea2eccda0c0 · outbound

This paper cites Positselski.

A relative version of Bass' theorem about finite-dimensional algebras Positselski

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.722734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:6fe07c83b7a2bee0c607f874024ebff45628f0abf25e4bca9703ad5e4f21dd26

Observation 1a904465-acff-487f-89b9-1e8547adafd6 · outbound

This paper cites Contraadjusted modules, contramodules, and reduced cotorsion modules.

A relative version of Bass' theorem about finite-dimensional algebras Contraadjusted modules, contramodules, and reduced cotorsion modules

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.726250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:1af5969e93dd4d1ae08b65cd3ddfad419ac70badff3269f67f98d961046cc22a

Observation d1b52f67-4a4e-4818-8eee-b406750fa407 · outbound

This paper cites An explicit self-dual construction of complete cotorsion pairs in the relative context.

A relative version of Bass' theorem about finite-dimensional algebras An explicit self-dual construction of complete cotorsion pairs in the relative context

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.715165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:3e0057e147f2b525df1c5a9fa8e706c34004028b9436a24479efb0df64ecd115

Observation bce4ebe0-7c78-45a2-a436-43eedf0393af · outbound

This paper cites Positselski.D-Ω duality on the contra side.

A relative version of Bass' theorem about finite-dimensional algebras Positselski.D-Ω duality on the contra side

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.718750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:24f3a91e52429483204252e0d866b03d804b419b2417aa69489fda3d556b3c54

Observation 38520df0-8391-4990-9fe2-df98cfd29f68 · outbound

This paper cites Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity.

A relative version of Bass' theorem about finite-dimensional algebras Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:32:03.708041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:1a740e1dba0fa0400776b34926dd7580f5dda44d516803d764ae8e27b40d330d

Observation 9a4adef5-2c3c-49e7-b27e-48348841d436 · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.919610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:b6ec6fca6c1e968689e76fef16d406575436b3bad22991c12ac6baaab58cb92b

Observation ae03a372-c7ad-4c3b-bde0-330168d500a5 · outbound

This paper cites an unresolved cited work.

A relative version of Bass' theorem about finite-dimensional algebras Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-19T04:32:58.893270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-19T04:29:16.223367Z digest=sha256:4a7893b62f9a16d3406630fc4c90e760e7f92344ee9c6736d0b5b932ef98373d

Pith citing papers

Observation d417f0f0-c9b6-4c74-b115-0abc4be55ddc · inbound

Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity cites this paper.

Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity A relative version of Bass' theorem about finite-dimensional algebras

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-04T22:04:56.947296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-04T22:04:56.776136Z digest=sha256:6bcd219be888d7013bb290cbc1eac7a2c16c4f07ddb08cbe8ab5de52724ea7f9