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Paper Citation Record · LEDGER

Morphisms and comorphisms of sites II -- Distributors of sites

As of 9 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.20932.

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

pith.paper-citation-record.v1
2507.20932 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:22:57.531454Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved2
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 412d0065-fdf1-45c2-afbd-388d4dfbb7eb · outbound

This paper cites Oxford University Press, 1994.

Morphisms and comorphisms of sites II -- Distributors of sites Oxford University Press, 1994

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:58.020255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.485933Z digest=sha256:f2412775d48e4195d25ea1cb73d6fbe2dc10d1107765c741f6914006336a4e42

Observation a979dc43-5fdb-421a-baa3-fa67457d5187 · outbound

This paper cites Distributors at work.

Morphisms and comorphisms of sites II -- Distributors of sites Distributors at work

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:58.012439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.489225Z digest=sha256:3d1cc7b5d8366fc1a9e89fbb0903eebfed5ee5a44b0e538c0bd0e43ea58bf475

Observation 9d1a0d8f-ad9e-4343-bd72-6c66c6b4e992 · outbound

This paper cites Fibrations petites et localement petites.

Morphisms and comorphisms of sites II -- Distributors of sites Fibrations petites et localement petites

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.919704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.492171Z digest=sha256:70f663d2be86c5635ce77c748bed5657cc9a391f75a94f4cc3a6fbca3cdc31c1

Observation 2e2da923-cadb-49c6-ad02-7fccf320b20a · outbound

This paper cites Les distributeurs.

Morphisms and comorphisms of sites II -- Distributors of sites Les distributeurs

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.911631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.495076Z digest=sha256:7a4089f781ac82d6e5ca9d963bec83f8a468aa88dd5931c1cf67c09321c108f6

Observation 4935d424-9542-4e83-8bf9-9bf405f1efc7 · outbound

This paper cites Handbook of categorical algebra: volume 1, Basic category theory.

Morphisms and comorphisms of sites II -- Distributors of sites Handbook of categorical algebra: volume 1, Basic category theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.903281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.498185Z digest=sha256:b6e63b7fbf1b943cbd289e28cfcc5191195565e88a4bbce2af677bd5eab33564

Observation f01d80f4-ce48-4ab8-8368-2e0cac0a99d5 · outbound

This paper cites Handbook of Categorical Algebra: Volume 3, Sheaf Theory.

Morphisms and comorphisms of sites II -- Distributors of sites Handbook of Categorical Algebra: Volume 3, Sheaf Theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.894446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.500946Z digest=sha256:72bad439b5d05e7dd067dbeae73d22c5f71349c07db8d7f26344a78d2645eead

Observation 0af37af6-a685-4058-9e72-c832ce824cda · outbound

This paper cites Denseness conditions, morphisms and equivalences of toposes.

Morphisms and comorphisms of sites II -- Distributors of sites Denseness conditions, morphisms and equivalences of toposes

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T13:22:57.503994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:22:57.503994Z digest=sha256:809f8e6536181f95ab24cf0ea9db7d3642b2b3b6c6faa49ee7660723be69301c

Observation 02cc633c-5c9e-4f09-98c9-0ae05afda56e · outbound

This paper cites Morphisms and comorphisms of sites I -- Double categories of sites.

Morphisms and comorphisms of sites II -- Distributors of sites Morphisms and comorphisms of sites I -- Double categories of sites

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-06T13:22:57.823711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.507046Z digest=sha256:e72d2297567838e0ce1c3e6f462b4a4754e1fae43cc379503966a521bf8bc968

Observation ed57035d-3f02-4370-b4de-275199e909e9 · outbound

This paper cites Sketches of an Elephant: A Topos Theory Compendium.

Morphisms and comorphisms of sites II -- Distributors of sites Sketches of an Elephant: A Topos Theory Compendium

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.886316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.509960Z digest=sha256:07faf07c834ce37e569158093bafd35cc8ed1da33ed90925cd1f579e4d78e062

Observation b340b9e0-03c7-460a-823a-ff51b67b5a74 · outbound

This paper cites Algebraic theories in toposes.

Morphisms and comorphisms of sites II -- Distributors of sites Algebraic theories in toposes

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.877115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.512754Z digest=sha256:9d677df1264f4b24476d9f2a5eba5255fb5ca297491aa992cfbfe1645456cde7

Observation 4a8b8e7b-da4a-4ef6-9670-accc714ef0c2 · outbound

This paper cites Notions of flatness relative to a Grothendieck topology.

Morphisms and comorphisms of sites II -- Distributors of sites Notions of flatness relative to a Grothendieck topology

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.867237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.515529Z digest=sha256:fa803e9356b2221405e676a6fb6cc800f71c797f465e3717f7f9318cf97bd1f0

Observation b2652a79-be72-4b97-a2e5-9eff70907626 · outbound

This paper cites Ultracategories.

Morphisms and comorphisms of sites II -- Distributors of sites Ultracategories

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.859364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.518244Z digest=sha256:0ddf1a8eda003369d7363c981407c95b47d1da56c04ad10a9539de381a1d3e45

Observation 4094cf3f-3210-47ce-90bd-b0471a5337dc · outbound

This paper cites Springer Science & Business Media, 2012.

Morphisms and comorphisms of sites II -- Distributors of sites Springer Science & Business Media, 2012

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T13:22:57.851282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.520969Z digest=sha256:6eac09f25fe0bc8012bbd43d836b1693cf33bed3ef4a3ca5dd11a61be65ee767

Observation 42d1fabc-57bf-427e-bfb8-2118af02258e · outbound

This paper cites Stone duality for first order logic.

Morphisms and comorphisms of sites II -- Distributors of sites Stone duality for first order logic

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-06T13:22:57.523512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:22:57.523512Z digest=sha256:6d830c9a8866a0d8ebe965bdbd25849f4ecb133b0bcd6312496f08860a17ef2c

Observation ea3af406-1f3b-49c4-84d3-077c611aab61 · outbound

This paper cites Cofibrations in the bicategory of topoi.

Morphisms and comorphisms of sites II -- Distributors of sites Cofibrations in the bicategory of topoi

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T13:22:57.526108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:22:57.526108Z digest=sha256:de8f127c1049f902322cce91f3e0175e90b8297f24ef602e5a4719255768e8ec

Observation 7038d6e5-93c5-4480-ba2a-d692646415fa · outbound

This paper cites Proarrows and cofibrations.

Morphisms and comorphisms of sites II -- Distributors of sites Proarrows and cofibrations

Reference 16

Resolution
malformed identifier
raw_fallback, observed 2026-08-06T13:22:57.842925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.528766Z digest=sha256:218a69f6316210ece178d72e264cc9187e6cc5ee1c1d825c7d79d198b81e91d7

Observation cb6bb569-5613-4531-a408-b462d48f83e8 · outbound

This paper cites Exact completions and small sheaves.

Morphisms and comorphisms of sites II -- Distributors of sites Exact completions and small sheaves

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T13:22:57.563772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T13:22:57.531454Z digest=sha256:16ffa11529788ef9d0fc5c080fd9e9fee2fa75f522187f81bcb0ae99682155b0

Pith citing papers

No inbound Pith citation observations are available.