Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The geometry of Coherent topoi and Ultrastructures
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2211.03104.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T04:48:32.151057Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-22T02:25:56.325210Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 9fef340c-2b49-4b8f-846f-0050897a1f9f · inbound
Ultracategories via Kan extensions of relative monads cites this paper.
Ultracategories via Kan extensions of relative monads The geometry of Coherent topoi and Ultrastructures
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T04:48:32.151057Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a06d48cb-e9d1-431e-ac25-90f7d1156d1a · inbound
Extending conceptual completeness via virtual ultracategories cites this paper.
Extending conceptual completeness via virtual ultracategories The geometry of Coherent topoi and Ultrastructures
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:05:33.011093Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c54ff2ce-77f8-4acb-aa12-ec25d40d2526 · inbound
Duality theory for categorical theories cites this paper.
Duality theory for categorical theories The geometry of Coherent topoi and Ultrastructures
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T02:25:56.328146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.