Paper Citation Record · LEDGER

Thomason's colimit theorem for the double category of elements

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2506.08246.

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

pith.paper-citation-record.v1
2506.08246 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:54.341615Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

19 of 19 outbound references displayed

verified exact1
verified fuzzy12
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 087f664c-8daf-4803-80e5-86e072648458 · outbound

This paper cites Grothendieck construction for bicategories.

Thomason's colimit theorem for the double category of elements Grothendieck construction for bicategories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.557538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1d46723-67df-490c-ac42-4ded711aca94 · outbound

This paper cites Fibred 2-categories and bicategories.

Thomason's colimit theorem for the double category of elements Fibred 2-categories and bicategories

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.547719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8975df6c-4d16-4fb3-9af7-d1ee8d0a8dbe · outbound

This paper cites Calvo, A.

Thomason's colimit theorem for the double category of elements Calvo, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.537608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b76c6577-8d67-4cf0-9241-11f8fd57d7a6 · outbound

This paper cites an unresolved cited work.

Thomason's colimit theorem for the double category of elements Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:54.528156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb3bb665-05ee-4cc4-9b53-155791b9aa60 · outbound

This paper cites an unresolved cited work.

Thomason's colimit theorem for the double category of elements Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:54.518290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 68fa340c-fe35-4793-96c9-20d212eaca5e · outbound

This paper cites 2-limits and 2-terminal objects are too different.

Thomason's colimit theorem for the double category of elements 2-limits and 2-terminal objects are too different

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.509336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 225f235a-8ed8-4ae3-bc53-04189ebd801a · outbound

This paper cites Bi-initial objects and bi-representations are not so different.

Thomason's colimit theorem for the double category of elements Bi-initial objects and bi-representations are not so different

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.499720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c8be2e29-4f10-43df-959d-f83fae118c21 · outbound

This paper cites an unresolved cited work.

Thomason's colimit theorem for the double category of elements Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:54.489857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3931e7c7-40b2-4586-b3e3-08e00e0e792b · outbound

This paper cites auser Classics. Birkh\.

Thomason's colimit theorem for the double category of elements auser Classics. Birkh\

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.480688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a0452c2f-e778-434d-8fe3-bd9525047fcc · outbound

This paper cites Limits in double categories.

Thomason's colimit theorem for the double category of elements Limits in double categories

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.470348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation db8a1c0e-045d-480a-bac4-6b70a1b01226 · outbound

This paper cites Persistent double limits and flexible weighted limits.

Thomason's colimit theorem for the double category of elements Persistent double limits and flexible weighted limits

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.460268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d138d7f8-d64f-41f4-b3bb-cc9bd5f4063d · outbound

This paper cites Higher dimensional categories.

Thomason's colimit theorem for the double category of elements Higher dimensional categories

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.449328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2f4b589f-e97c-4e62-8867-a4b8985bb90c · outbound

This paper cites an unresolved cited work.

Thomason's colimit theorem for the double category of elements Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:54.437175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e162c252-27b6-4257-91cb-f4cdef1436ed · outbound

This paper cites 2-dimensional categories.

Thomason's colimit theorem for the double category of elements 2-dimensional categories

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.427134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5cddf070-6029-46ba-8617-ea7be430f79a · outbound

This paper cites Discrete 2-fibrations.

Thomason's colimit theorem for the double category of elements Discrete 2-fibrations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.416732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a5e1bb18-0812-45a4-af8d-57765433e37d · outbound

This paper cites Internal Grothendieck construction for enriched categories.

Thomason's colimit theorem for the double category of elements Internal Grothendieck construction for enriched categories

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:25:54.376163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f9f97703-669e-4f70-9dd8-0cb440339993 · outbound

This paper cites Category theory in context.

Thomason's colimit theorem for the double category of elements Category theory in context

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:25:54.406219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b13943ed-aeeb-4995-ab98-3544cd3f1a67 · outbound

This paper cites an unresolved cited work.

Thomason's colimit theorem for the double category of elements Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:25:54.396161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cbb4daa0-aac9-41b8-8de8-796441d921d7 · outbound

This paper cites Enriched categories, internal categories and change of base.

Thomason's colimit theorem for the double category of elements Enriched categories, internal categories and change of base

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T05:25:54.341615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.