Paper Citation Record · LEDGER

Higher-dimensional generalization of abelian categories via DG-categories

As of 19 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 3 inbound Pith citation observations for arXiv:2501.06955.

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

pith.paper-citation-record.v1
2501.06955 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:59:49.321079Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:06:25.014533Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T12:14:38.900755Z

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy7
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 13f4bbb1-4fcd-4382-b082-7c19fa967a32 · outbound

This paper cites Adachi, H.

Higher-dimensional generalization of abelian categories via DG-categories Adachi, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.744644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dc5e4dd4-5e20-4ebf-9a76-8c8e470e762d · outbound

This paper cites Adachi, O.

Higher-dimensional generalization of abelian categories via DG-categories Adachi, O

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.729801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 009d6cbb-50f2-4814-a313-839b3423cae3 · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:49.716027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation edac46d0-46ed-4f60-bdf6-dc7f15ee96ae · outbound

This paper cites Beligiannis and N.

Higher-dimensional generalization of abelian categories via DG-categories Beligiannis and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.701852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3e173c64-d164-4cd5-8ed4-653c135dca78 · outbound

This paper cites Beligiannis and I.

Higher-dimensional generalization of abelian categories via DG-categories Beligiannis and I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.687670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a72239ff-d771-4661-9cd9-a2e8a90c8860 · outbound

This paper cites On exact dg categories.

Higher-dimensional generalization of abelian categories via DG-categories On exact dg categories

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.262576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a229bc6d-2b6e-49fb-9602-d49de2a93ebf · outbound

This paper cites Exact dg categories I : Foundations.

Higher-dimensional generalization of abelian categories via DG-categories Exact dg categories I : Foundations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.268650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c6bb968-a305-428f-9708-63972ba4fefc · outbound

This paper cites Abelian categories in dimension 2.

Higher-dimensional generalization of abelian categories via DG-categories Abelian categories in dimension 2

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.272797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c224a711-c16a-448f-b341-d1458c724dc7 · outbound

This paper cites Gepner, M.

Higher-dimensional generalization of abelian categories via DG-categories Gepner, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.673672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6fb3bfe3-3b9f-4b7d-b601-31842d899938 · outbound

This paper cites Positive and negative extensions in extriangulated categories.

Higher-dimensional generalization of abelian categories via DG-categories Positive and negative extensions in extriangulated categories

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.282031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f30c848-3649-4b93-8c9f-2134143f9f86 · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.286969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a56be7b-2a6d-4cde-bccb-859681f57c70 · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:49.658177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc77210d-ecdc-4530-b394-aec61b128c55 · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:49.642340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c0471f2f-7064-4540-8184-abce2bd6c6bf · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:49.627592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a645081b-da29-4953-8017-9df2db20ece9 · outbound

This paper cites Nakaoka and Y.

Higher-dimensional generalization of abelian categories via DG-categories Nakaoka and Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.611780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 186b8089-b117-4812-ac41-076a91c589af · outbound

This paper cites Derived $\infty$-categories as exact completions.

Higher-dimensional generalization of abelian categories via DG-categories Derived $\infty$-categories as exact completions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.307114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cfeaf4c-328d-4cdc-9b54-248b431aa09e · outbound

This paper cites an unresolved cited work.

Higher-dimensional generalization of abelian categories via DG-categories Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:59:49.597273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 79d36a51-20bf-46a7-80f9-553030c93b37 · outbound

This paper cites Tilting theory for extended module categories.

Higher-dimensional generalization of abelian categories via DG-categories Tilting theory for extended module categories

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T20:59:49.316385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ef8f2bb-5f9a-4702-b155-7691154666aa · outbound

This paper cites write newline.

Higher-dimensional generalization of abelian categories via DG-categories write newline

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:59:49.582112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation cdc01398-aa0c-4b7a-a66a-2b1dc0dcee7d · inbound

On the Auslander--Reiten Theory for Extended Hearts of Proper Connective DG Algebras cites this paper.

On the Auslander--Reiten Theory for Extended Hearts of Proper Connective DG Algebras Higher-dimensional generalization of abelian categories via DG-categories

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-07T15:06:25.014533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46cb339f-f96b-4dba-aec7-1e29a7703464 · inbound

Extended Module Categories in Higher Cluster Tilting Theory cites this paper.

Extended Module Categories in Higher Cluster Tilting Theory Higher-dimensional generalization of abelian categories via DG-categories

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-30T12:14:38.902514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b65df05f-cba6-4116-9c3d-6a6abab601f3 · inbound

Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories cites this paper.

Extended heart construction (I): The heart of $n$-cotorsion pairs on triangulated categories Higher-dimensional generalization of abelian categories via DG-categories

Reference 124

Resolution: unresolved; no resolver link, observed 2026-08-05T23:39:35.824028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.