Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:09:02.286095Z
Paper Citation Record · LEDGER
Homotopy categories and fibrant model structures
As of 22 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.
Observation 583327d4-aba4-4180-841a-992945d4dca5 · outbound
This paper cites 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.