Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:37:08.586896Z
Paper Citation Record · LEDGER
The familial nature of enrichment over virtual double categories
As of 7 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.05529.
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 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T19:54:29.480572Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T19:54:29.544149Z
Reference resolution
26 of 26 outbound references displayed
- verified exact1
- verified fuzzy21
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ef4a746c-7e9e-45de-a119-25a128ad0d78 · outbound
This paper cites The nerve theorem for relative monads.
The familial nature of enrichment over virtual double categories The nerve theorem for relative monads
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.834952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5d6ebc7e-e8ed-4f35-9c0b-dcbb93b33661 · outbound
This paper cites Betti, A.
The familial nature of enrichment over virtual double categories Betti, A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.829260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 783a1e3e-df00-49b2-a495-7e9e5cc915d4 · outbound
This paper cites A unified approach to the construction of categories of games.
The familial nature of enrichment over virtual double categories A unified approach to the construction of categories of games
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.823480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 73753026-9a6e-4eca-8da9-0aba8c222749 · outbound
This paper cites T -cat \'e gories (cat \'e gories dans un triple).
The familial nature of enrichment over virtual double categories T -cat \'e gories (cat \'e gories dans un triple)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.817507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9351caef-267c-4bd6-8838-633c560c17d4 · outbound
This paper cites Restriction categories as enriched categories.
The familial nature of enrichment over virtual double categories Restriction categories as enriched categories
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.811559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8421fd0d-70b7-4c51-988e-43e26c647cce · outbound
This paper cites an unresolved cited work.
The familial nature of enrichment over virtual double categories Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:37:08.805633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 68d2d30b-fa61-4150-a363-9bbc0e071a17 · outbound
This paper cites The oplax limit of an enriched category.
The familial nature of enrichment over virtual double categories The oplax limit of an enriched category
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.799836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bcf00bf3-4a9b-47b9-9081-36e7399fe452 · outbound
This paper cites A G iraud-- C onduch\'e condition for generalized multicategories, 2025.
The familial nature of enrichment over virtual double categories A G iraud-- C onduch\'e condition for generalized multicategories, 2025
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.793473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a37a4117-55ea-417a-9a21-33af5b15524b · outbound
This paper cites Nerves of generalized multicategories, 2025.
The familial nature of enrichment over virtual double categories Nerves of generalized multicategories, 2025
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.787386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 189e84c3-e2d0-416d-9080-5a19c549cb0a · outbound
This paper cites Pasting diagrams in n -categories with applications to coherence theorems and categories of paths.
The familial nature of enrichment over virtual double categories Pasting diagrams in n -categories with applications to coherence theorems and categories of paths
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.781531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3682b4b4-3374-40f7-85f1-da300aef6481 · outbound
This paper cites Double categories of profunctors.
The familial nature of enrichment over virtual double categories Double categories of profunctors
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:37:08.685595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4725068e-523a-4113-9e9e-ec159da97cb3 · outbound
This paper cites Formal category theory in augmented virtual double categories.
The familial nature of enrichment over virtual double categories Formal category theory in augmented virtual double categories
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.775564Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 76dcee2f-a125-40e1-adc9-dcb047dc0cc6 · outbound
This paper cites an unresolved cited work.
The familial nature of enrichment over virtual double categories Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:37:08.769672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cebb1cba-7f3d-43fe-b748-115ecc374e46 · outbound
This paper cites Generalized enrichment of categories.
The familial nature of enrichment over virtual double categories Generalized enrichment of categories
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.763751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f8039f5a-38d3-42a7-80eb-c74f0f137811 · outbound
This paper cites Higher operads, higher categories , volume 298 of London Mathematical Society Lecture Note Series.
The familial nature of enrichment over virtual double categories Higher operads, higher categories , volume 298 of London Mathematical Society Lecture Note Series
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.757623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ecaebdf7-c48c-4515-9862-ae78433e140d · outbound
This paper cites Coherent theories as double L awvere theories, 2009.
The familial nature of enrichment over virtual double categories Coherent theories as double L awvere theories, 2009
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.751335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4c7a6e68-f1d2-4f31-8d4a-9a08da7e559f · outbound
This paper cites Yoneda theory for double categories.
The familial nature of enrichment over virtual double categories Yoneda theory for double categories
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.745418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ab9a2b3f-c4c2-425d-a243-026f342ab2fc · outbound
This paper cites Products in double categories, revisited.
The familial nature of enrichment over virtual double categories Products in double categories, revisited
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:37:08.570923Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cd68549c-82c4-40dc-99e9-5b5f0f44217f · outbound
This paper cites Enriched indexed categories.
The familial nature of enrichment over virtual double categories Enriched indexed categories
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.739223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4af836ec-aea5-4247-a039-8dec65853ea8 · outbound
This paper cites The petit topos of globular sets.
The familial nature of enrichment over virtual double categories The petit topos of globular sets
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.733231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cebcc34e-db0a-4353-87e2-084fc60700ac · outbound
This paper cites Enriched categories and cohomology.
The familial nature of enrichment over virtual double categories Enriched categories and cohomology
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.726915Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation db07cfde-0944-4d73-b9b5-67a0a6f970c2 · outbound
This paper cites The comprehensive factorization of Burroni 's \( T \) -functors.
The familial nature of enrichment over virtual double categories The comprehensive factorization of Burroni 's \( T \) -functors
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.720315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ed196103-5e31-4429-aefd-3e0d6f2d0ee4 · outbound
This paper cites an unresolved cited work.
The familial nature of enrichment over virtual double categories Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:37:08.713522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5e8bdbcc-4821-406b-a39c-dfce1002544b · outbound
This paper cites Familial 2-functors and parametric right adjoints.
The familial nature of enrichment over virtual double categories Familial 2-functors and parametric right adjoints
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.706934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aed1b25e-71d5-4134-9ceb-46aed6953c41 · outbound
This paper cites Operads as polynomial 2-monads.
The familial nature of enrichment over virtual double categories Operads as polynomial 2-monads
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.700383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 93747aee-1975-45c9-8b71-7acc3dcceca0 · outbound
This paper cites Polynomials in categories with pullbacks.
The familial nature of enrichment over virtual double categories Polynomials in categories with pullbacks
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:37:08.693714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation 17888637-2e9b-46ae-9f39-855335fe264e · inbound
Exponentiable virtual double categories and presheaves for double categories cites this paper.
Exponentiable virtual double categories and presheaves for double categories The familial nature of enrichment over virtual double categories
Reference 2025
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-05T19:54:29.547727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.