Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:20:01.097638Z
Paper Citation Record · LEDGER
On fibred products of toposes
As of 23 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2509.07719.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
9 of 9 outbound references displayed
- verified exact0
- verified fuzzy3
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d67f3153-566b-4ba5-a3c6-792d809c3ca6 · outbound
This paper cites On morphisms of relative toposes, 2023.
On fibred products of toposes On morphisms of relative toposes, 2023
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.044324Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af456ff7-af00-435e-a68c-96c0c6dcfbff · outbound
This paper cites Local fibrations and morphisms of relative toposes, 2025.
On fibred products of toposes Local fibrations and morphisms of relative toposes, 2025
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:20:01.262890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8f89b019-144c-4587-9b99-2f83cf51f267 · outbound
This paper cites Denseness conditions, morphisms and equivalences of toposes.
On fibred products of toposes Denseness conditions, morphisms and equivalences of toposes
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.057931Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 48dbca0a-8e66-4fa0-b298-08f6076d07b7 · outbound
This paper cites Fibred sites and existential toposes.
On fibred products of toposes Fibred sites and existential toposes
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.064906Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d27c832-5dde-439f-b0cd-4e97241c8b23 · outbound
This paper cites Morphisms and comorphisms of sites i -- double categories of sites, 2025.
On fibred products of toposes Morphisms and comorphisms of sites i -- double categories of sites, 2025
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:20:01.246103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ca14960f-2e53-4178-b3ff-22eccf99c48b · outbound
This paper cites Relative topos theory via stacks.
On fibred products of toposes Relative topos theory via stacks
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.079221Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d986cb44-aa1a-4b84-bc73-e305b144b5ac · outbound
This paper cites Classifying topos.
On fibred products of toposes Classifying topos
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.086067Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed0bf3c9-60fc-437c-a9b3-7ad0ee6d8827 · outbound
This paper cites Johnstone.
On fibred products of toposes Johnstone
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:20:01.092382Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation acc12592-d21d-479a-943e-e9c7600f5c31 · outbound
This paper cites On product and change of base for toposes.
On fibred products of toposes On product and change of base for toposes
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:20:01.201796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.