Paper Citation Record · LEDGER

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2606.09796.

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

pith.paper-citation-record.v1
2606.09796 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T13:55:10.801827Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:41:34.139404Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:41:34.411792Z

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02eabc61-37bc-4707-a869-a124f9b97895 · outbound

This paper cites Ambra, A.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Ambra, A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5de0f8c-631e-461b-b968-9f74a0d5ab54 · outbound

This paper cites Barr,Exact categories, in Lecture Notes in Mathematics 236, Springer-Verlag (1971).

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Barr,Exact categories, in Lecture Notes in Mathematics 236, Springer-Verlag (1971)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cec0affc-edad-4b66-8ac1-ff05d8a046a7 · outbound

This paper cites Bourn,La tour de fibrations exactes des n-cat´ egories, Cahiers de topologie et g´ eom´ etrie diff´ erentielle cat´ egoriques, 25 (1984), 327-351.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn,La tour de fibrations exactes des n-cat´ egories, Cahiers de topologie et g´ eom´ etrie diff´ erentielle cat´ egoriques, 25 (1984), 327-351

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d77125a8-fdda-44aa-bfa2-31cda51e510e · outbound

This paper cites Bourn,Normalization equivalence, kernel equivalence and affine categories, Springer Lec- ture Notes in Mathematics 1488 (1991), 43-62.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn,Normalization equivalence, kernel equivalence and affine categories, Springer Lec- ture Notes in Mathematics 1488 (1991), 43-62

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 492be061-43f4-4e7c-a037-df9402be1857 · outbound

This paper cites Bourn,Baer sums and fibered aspects of Mal’cev operations, Cahiers de topologie et g´ eom´ etrie diff´ erentielle cat´ egoriques, 40 (1999), 297-316.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn,Baer sums and fibered aspects of Mal’cev operations, Cahiers de topologie et g´ eom´ etrie diff´ erentielle cat´ egoriques, 40 (1999), 297-316

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88b8a0b4-15ed-4723-bf35-4d92400f0370 · outbound

This paper cites Bourn,Aspherical abelian groupoids and their directions, Journal of Pure and Applied Algebra, 168 (2002), 133-146.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn,Aspherical abelian groupoids and their directions, Journal of Pure and Applied Algebra, 168 (2002), 133-146

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fe7c349-6031-4bfc-b963-c6dee3846c26 · outbound

This paper cites Bourn,Mal’tsev reflection, S-Mal’tsev and S-protomodular categories, preprint Cahiers LMPA, n.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn,Mal’tsev reflection, S-Mal’tsev and S-protomodular categories, preprint Cahiers LMPA, n

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f76b570-1487-40f0-a5d1-3e948f663b58 · outbound

This paper cites Bourn, G.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn, G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fc690ff-f43d-4941-8a3f-e4dfe443d1bf · outbound

This paper cites Bourn, N.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn, N

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 545a963b-6fa7-4713-bb20-556830b330b9 · outbound

This paper cites Bourn, D.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Bourn, D

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08a2a57d-398c-4b7f-9450-11e3245d9686 · outbound

This paper cites Carboni, J.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Carboni, J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59d76939-8fcf-4093-9058-321e21ac4da9 · outbound

This paper cites Golasi´ nski,n-fold extensions and cohomologies of small categories, Math´ ematica – Revue d’Analyse Num´ erique et de Th´ eorie de l’Approximation.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Golasi´ nski,n-fold extensions and cohomologies of small categories, Math´ ematica – Revue d’Analyse Num´ erique et de Th´ eorie de l’Approximation

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 483a8839-e9d4-4ad6-afc8-0e7928ef010d · outbound

This paper cites Hoff,On the cohomology of categories, Rend.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Hoff,On the cohomology of categories, Rend

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7674f5d-9482-45f3-8524-c93b7378c076 · outbound

This paper cites Joyal, R.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Joyal, R

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e59cb86d-4f5f-4686-81e9-1171224551e6 · outbound

This paper cites Patchkoria,Crossed semimodules and Schreier internal categories in the category of mo- noids, Georgian Math.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Patchkoria,Crossed semimodules and Schreier internal categories in the category of mo- noids, Georgian Math

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68f53879-29eb-4802-8e09-06a24839fe59 · outbound

This paper cites Federigo Enriques.

Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects Federigo Enriques

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T13:55:10.801827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation bbf5859c-de6a-4fcf-ad7d-2dacfde42bb2 · inbound

A direction functor approach to the cohomology of small categories cites this paper.

A direction functor approach to the cohomology of small categories Actions, semidirect products and crossed semimodules in the category of small categories with a fixed set of objects

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:41:34.417183Z

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.