Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:50:35.401852Z
Paper Citation Record · LEDGER
On the dependent product in toposes
As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.08488.
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 2026-08-16T06:30:59.297886+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
11 of 11 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation db2e2d25-cb24-4ed6-a9a1-b2ed2827c52c · outbound
This paper cites an unresolved cited work.
On the dependent product in toposes Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:50:35.584006Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 49d4fa63-5e5a-4ece-bee3-49f752ee0568 · outbound
This paper cites Artin, A.
On the dependent product in toposes Artin, A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.570525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c12042de-9f02-459a-b570-8a5e94142855 · outbound
This paper cites Barr and C.
On the dependent product in toposes Barr and C
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.557078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e8b3f2a-b8d6-4c94-ba0e-65398f56e43c · outbound
This paper cites an unresolved cited work.
On the dependent product in toposes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:50:35.543756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2565bcf7-41fb-44fd-b903-74c287fb13f5 · outbound
This paper cites Borceux, Handbook of categorical algebra , vol.
On the dependent product in toposes Borceux, Handbook of categorical algebra , vol
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.529965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 785b3f93-b80f-45aa-87bf-ecc2ec7020cc · outbound
This paper cites Denseness conditions, morphisms and equivalences of toposes.
On the dependent product in toposes Denseness conditions, morphisms and equivalences of toposes
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:50:35.380519Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66c23ed5-b0f1-44db-a3c3-ae13e9ecdda6 · outbound
This paper cites an unresolved cited work.
On the dependent product in toposes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:50:35.514856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e441fcdc-683b-4745-bc18-597714545db8 · outbound
This paper cites an unresolved cited work.
On the dependent product in toposes Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:50:35.499690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c1061349-e4d5-49c2-93d2-5686555750ee · outbound
This paper cites Goldblatt, Topoi: the categorial analysis of logic , Studies in Logic and the Foundations of Mathematics vol.
On the dependent product in toposes Goldblatt, Topoi: the categorial analysis of logic , Studies in Logic and the Foundations of Mathematics vol
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.483685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a303fb6-e555-4832-87bf-e3ebea88432c · outbound
This paper cites Mac Lane and I.
On the dependent product in toposes Mac Lane and I
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.468918Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0ea37a78-c4e3-47fb-b92a-5deb8dabbacf · outbound
This paper cites McLarty, Elementary categories, elementary toposes , vol.
On the dependent product in toposes McLarty, Elementary categories, elementary toposes , vol
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:50:35.454703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.