Paper Citation Record · LEDGER

Homotopical presentation of categories

As of 21 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2411.15790.

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

pith.paper-citation-record.v1
2411.15790 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:09:56.479414Z

measured 25 of 25 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:41:51.136749Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T11:41:51.184757Z

Reference resolution

24 of 24 outbound references displayed

verified exact1
verified fuzzy7
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e2fe265b-88f3-43b1-ba83-82e30a37449f · outbound

This paper cites Artin, Grothendieck topologies, Harvard university, 1962, Notes on a Seminar.

Homotopical presentation of categories Artin, Grothendieck topologies, Harvard university, 1962, Notes on a Seminar

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.381381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4d80006-d701-4c4f-8f9e-25a60363747c · outbound

This paper cites A model 2-category of enriched combinatorial premodel categories.

Homotopical presentation of categories A model 2-category of enriched combinatorial premodel categories

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.386189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe66a398-d8f3-4116-8651-44a59b378677 · outbound

This paper cites Différentielle Catég.

Homotopical presentation of categories Différentielle Catég

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.791595Z

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 23a9b746-a19d-409d-a01f-ac8460b5105b · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.778741Z

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 2be4e430-71df-429f-8c92-8bc3466fa640 · outbound

This paper cites Brown, Abstract homotopy theory and generalized sheaf cohomology, Trans.

Homotopical presentation of categories Brown, Abstract homotopy theory and generalized sheaf cohomology, Trans

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.765366Z

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 ac3e7d00-52e9-47e6-b595-b933b84cf926 · outbound

This paper cites 180, Cambridge University Press, 2019.

Homotopical presentation of categories 180, Cambridge University Press, 2019

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.404680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f60ac656-d356-4e96-b36c-87797adfc616 · outbound

This paper cites Calculus of Fractions for Quasicategories.

Homotopical presentation of categories Calculus of Fractions for Quasicategories

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:09:56.518486Z

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 7a971a9b-5da4-41cd-b713-543839e180c0 · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.743564Z

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 b166094e-b8c4-4a62-a4ef-c1baed211180 · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.730663Z

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 41d647e5-86b5-4fb6-ace7-b9d9d8e08611 · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.717806Z

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 8341ab4a-ca0c-4a46-bb6c-4860a33eb1a2 · outbound

This paper cites Gabriel and M.

Homotopical presentation of categories Gabriel and M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.704431Z

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 44f5eee5-47fa-4ec7-bfed-73973414ca25 · outbound

This paper cites 24, 875--958.

Homotopical presentation of categories 24, 875--958

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.690843Z

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 e8542388-c288-4035-b327-47cb68aeee55 · outbound

This paper cites Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol.

Homotopical presentation of categories Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.434107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29186296-aff1-4d84-936b-903ffa9d6c1e · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.669458Z

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 bec62826-aead-4ab0-b40b-3feb5a46e3b9 · outbound

This paper cites 63, American Mathematical Society, 1999.

Homotopical presentation of categories 63, American Mathematical Society, 1999

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.442360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80668135-632c-46e6-8b89-5da4a559ea29 · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.647588Z

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 48ff778b-0b9b-45c4-a563-3f5731b7f6dc · outbound

This paper cites 332, Springer-Verlag, 2006.

Homotopical presentation of categories 332, Springer-Verlag, 2006

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.450508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e998472-f05a-4f08-b82e-d28137f673d3 · outbound

This paper cites 5, Springer, 1998.

Homotopical presentation of categories 5, Springer, 1998

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.624857Z

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 f5d79ee5-4ee2-42fd-b38b-c12f1b944323 · outbound

This paper cites 36, 1163--1180.

Homotopical presentation of categories 36, 1163--1180

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.610027Z

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 29dc8b0d-bb29-4f52-867b-21bdf3d147cb · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.595773Z

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 71fb2015-dadf-46c0-ae9f-2fe2b0e84baf · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.582102Z

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 94668e9a-3e3b-449f-ad51-e7338941ba96 · outbound

This paper cites Peter May and Kate Ponto, More concise algebraic topology, Chicago lectures in mathematics, The university of Chicago press, 2012.

Homotopical presentation of categories Peter May and Kate Ponto, More concise algebraic topology, Chicago lectures in mathematics, The university of Chicago press, 2012

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:09:56.568495Z

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 04fd976a-ba57-4e26-9c79-eee51336e987 · outbound

This paper cites 43, Springer-Verlag, 1967.

Homotopical presentation of categories 43, Springer-Verlag, 1967

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T14:09:56.474902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e4bafa6-626e-4d2f-91cd-e8bcade40629 · outbound

This paper cites an unresolved cited work.

Homotopical presentation of categories Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:09:56.546593Z

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

Observation 1d0d00b9-bc7f-4771-beef-56d143c33373 · inbound

Q-divisor and Ampleness cites this paper.

Q-divisor and Ampleness Homotopical presentation of categories

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-12T11:41:51.191358Z

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.