Paper Citation Record · LEDGER

Homotopy categories and fibrant model structures

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2501.15898.

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

pith.paper-citation-record.v1
2501.15898 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T14:09:02.286095Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

20 of 20 outbound references displayed

verified exact1
verified fuzzy17
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8c41bae3-2061-4b35-b518-f409507a51b3 · outbound

This paper cites Ad\'amek, H.

Homotopy categories and fibrant model structures Ad\'amek, H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.627741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1ef4a38a-be77-4893-ae50-1492e28da777 · outbound

This paper cites an unresolved cited work.

Homotopy categories and fibrant model structures Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:09:02.611755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a679b703-f73c-4cf2-b290-817c8b9688c3 · outbound

This paper cites Becker, Models for singularity categories, Adv.

Homotopy categories and fibrant model structures Becker, Models for singularity categories, Adv

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.596240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ce0f00e-6853-4762-a3b0-e1b7871ed7b2 · outbound

This paper cites Beligiannis, Homotopy theory of modules and Gorenstein rings, Math.

Homotopy categories and fibrant model structures Beligiannis, Homotopy theory of modules and Gorenstein rings, Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.581270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2dc45dc8-2c01-4439-9e1f-82dd70842ea8 · outbound

This paper cites Beligiannis, I.

Homotopy categories and fibrant model structures Beligiannis, I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.566190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 366c992d-ab58-4911-9907-863213825fe3 · outbound

This paper cites B\"uhler, Exact categories, Expositions Math.

Homotopy categories and fibrant model structures B\"uhler, Exact categories, Expositions Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.550396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3b4c6377-1109-47ce-8a85-b9997e460be6 · outbound

This paper cites Model structure from one hereditary complete cortorsion pair.

Homotopy categories and fibrant model structures Model structure from one hereditary complete cortorsion pair

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T14:09:02.332811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 583327d4-aba4-4180-841a-992945d4dca5 · outbound

This paper cites Enochs, M.

Homotopy categories and fibrant model structures Enochs, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.533844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fdd1ab2f-baf6-4520-9f20-e85831b4965d · outbound

This paper cites Gabriel and M.

Homotopy categories and fibrant model structures Gabriel and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.517466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64f94a3d-2929-4010-b22b-362824400391 · outbound

This paper cites Gillespie, The flat model structure on Ch (R) , Trans.

Homotopy categories and fibrant model structures Gillespie, The flat model structure on Ch (R) , Trans

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.503577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db83423f-935b-45d0-8791-48f3142f649a · outbound

This paper cites Gillespie, Model structures on exact categories, J.

Homotopy categories and fibrant model structures Gillespie, Model structures on exact categories, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.488240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e38c23a5-8059-4e8e-8430-6c6708ff85f4 · outbound

This paper cites Gillespie, How to construct a Hovey triple from two cotorsion pairs, Fund.

Homotopy categories and fibrant model structures Gillespie, How to construct a Hovey triple from two cotorsion pairs, Fund

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.473151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10814ddf-bffc-473b-aed1-5721f3600316 · outbound

This paper cites Hovey, Model categories, Math.

Homotopy categories and fibrant model structures Hovey, Model categories, Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.458181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa01298b-9d4f-46b8-a36d-d9d5e2c59665 · outbound

This paper cites Hovey, Cotorsion pairs, model category structures, and representation theory, Math.

Homotopy categories and fibrant model structures Hovey, Cotorsion pairs, model category structures, and representation theory, Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.443561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b4bf9317-4a14-431b-ac7b-1f38f5c07036 · outbound

This paper cites Krause, Homological Theory of Representations, Cambridge Studies in Advanced Math.

Homotopy categories and fibrant model structures Krause, Homological Theory of Representations, Cambridge Studies in Advanced Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.429264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 983218c1-19e8-4f4f-802a-1ee1063dec71 · outbound

This paper cites Pirashvili, Closed model category structures on abelian categories, Bull.

Homotopy categories and fibrant model structures Pirashvili, Closed model category structures on abelian categories, Bull

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.413502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5384f5c6-5ee2-4a6a-b5fb-1d3552b0cc67 · outbound

This paper cites Quillen, Homotopical algebra, Lecture Notes in Math.

Homotopy categories and fibrant model structures Quillen, Homotopical algebra, Lecture Notes in Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.397716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation db342460-0905-4897-b85a-b4e92c6b6c75 · outbound

This paper cites Quillen, Rational Homotopy Theory, Ann.

Homotopy categories and fibrant model structures Quillen, Rational Homotopy Theory, Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.382190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4de265ae-9b34-4e5a-b26b-26b2055a8935 · outbound

This paper cites an unresolved cited work.

Homotopy categories and fibrant model structures Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T14:09:02.365698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cbcba5f0-b5a9-4cf2-8bc6-8150efa3fc5c · outbound

This paper cites Balchin, A handbook of model categories, Algebra and Applications, 27, Springer, Cham, 2021.

Homotopy categories and fibrant model structures Balchin, A handbook of model categories, Algebra and Applications, 27, Springer, Cham, 2021

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T14:09:02.349948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.