Paper Citation Record · LEDGER

On a (terminally connected, pro-etale) factorization of geometric morphisms

As of 9 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2502.04213.

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

pith.paper-citation-record.v1
2502.04213 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T23:14:27.937526Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

13 of 13 outbound references displayed

verified exact3
verified fuzzy7
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 449637db-523c-49f0-af1b-2f8e4cea0923 · outbound

This paper cites Handbook of Categorical Algebra: Volume 3, Sheaf Theory.

On a (terminally connected, pro-etale) factorization of geometric morphisms Handbook of Categorical Algebra: Volume 3, Sheaf Theory

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.310318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b47648d9-be52-410f-94c8-a797fc1dfd1f · outbound

This paper cites Denseness conditions, morphisms and equivalences of toposes.

On a (terminally connected, pro-etale) factorization of geometric morphisms Denseness conditions, morphisms and equivalences of toposes

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-08T23:14:27.794671Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 950811d0-3e3a-4870-a7de-771c970ddb06 · outbound

This paper cites Bi-accessible and bipresentable 2-categories.

On a (terminally connected, pro-etale) factorization of geometric morphisms Bi-accessible and bipresentable 2-categories

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-08T23:14:27.809359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f98bead4-2e0c-4aba-abf0-8f2a7858b428 · outbound

This paper cites A construction of 2-cofiltered bilimits of topoi.

On a (terminally connected, pro-etale) factorization of geometric morphisms A construction of 2-cofiltered bilimits of topoi

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-08-08T23:14:28.104593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2902e2e0-8e16-43c2-a57a-7107d572ce9c · outbound

This paper cites Proper factorization systems in 2-categories.

On a (terminally connected, pro-etale) factorization of geometric morphisms Proper factorization systems in 2-categories

Reference 5

Resolution: verified exact; doi, observed 2026-08-08T23:14:28.029648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3ee3ed9a-555e-4eb0-9f1c-8f43b69618b7 · outbound

This paper cites Sketches of an Elephant: A Topos Theory Compendium.

On a (terminally connected, pro-etale) factorization of geometric morphisms Sketches of an Elephant: A Topos Theory Compendium

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.281915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cd84b0cd-bc3b-43d3-8914-7d760f3f1df7 · outbound

This paper cites Local maps of to poses.

On a (terminally connected, pro-etale) factorization of geometric morphisms Local maps of to poses

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.250048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d4ea5564-4884-493b-835e-351a5c05ae7f · outbound

This paper cites Topo-logie.

On a (terminally connected, pro-etale) factorization of geometric morphisms Topo-logie

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.211894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b150c4fc-0eff-4577-aea7-1411d0e0f181 · outbound

This paper cites Higher topos theory.

On a (terminally connected, pro-etale) factorization of geometric morphisms Higher topos theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.186912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2cff10fb-4b3e-4929-9a8d-659bf10b643a · outbound

This paper cites url: https://ncatlab.org/michaelshulman/show/comprehensive+factorization.

On a (terminally connected, pro-etale) factorization of geometric morphisms url: https://ncatlab.org/michaelshulman/show/comprehensive+factorization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.162410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b3d9c40d-403f-467e-bba8-e5092ade59d5 · outbound

This paper cites Variation on a comprehensive theme.

On a (terminally connected, pro-etale) factorization of geometric morphisms Variation on a comprehensive theme

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-08T23:14:28.079139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 81b6b462-3ad4-487f-99b1-e1f918a47b5a · outbound

This paper cites The comprehensive factoriza tion and torsors.

On a (terminally connected, pro-etale) factorization of geometric morphisms The comprehensive factoriza tion and torsors

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:14:28.144060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ac02ca02-b6ed-4b8a-a6ab-44ed70b249c4 · outbound

This paper cites Pro-Categories and Multiadjoint Functors.

On a (terminally connected, pro-etale) factorization of geometric morphisms Pro-Categories and Multiadjoint Functors

Reference 13

Resolution: verified exact; doi, observed 2026-08-08T23:14:28.011881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.