Pith. sign in

Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2505.08766.

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

pith.paper-citation-record.v1
2505.08766 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:57:16.077696Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:22:57.507046Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T13:22:57.819579Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy4
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b5a36f6-9359-46fa-83dd-9b6c24152335 · outbound

This paper cites On functors which are lax epimorphisms.

Morphisms and comorphisms of sites I -- Double categories of sites On functors which are lax epimorphisms

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:16.219645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.040401Z digest=sha256:f737ab3c8433ad137837eedde2f40a9c3ec5def375623cbdf43532f93a637877

Observation ea971377-6a32-40b7-bf2e-135599cb6c3a · outbound

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

Morphisms and comorphisms of sites I -- Double categories of sites Denseness conditions, morphisms and equivalences of toposes

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:16.045210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:16.045210Z digest=sha256:48a117ea5f8144b0f4cf0df573933afd300bb5df5867cd668a7ee1ab96a3af4a

Observation 85c09ad3-51c1-4ac3-af55-15f4787fce75 · outbound

This paper cites an unresolved cited work.

Morphisms and comorphisms of sites I -- Double categories of sites Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:57:16.207733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.049556Z digest=sha256:8c6f7d50ba0a00047ae0d30de82af89198c7a2c570de76a8b2e8a421cd94823f

Observation 85c886ef-695c-42a6-87f3-e5435058c032 · outbound

This paper cites Relations et carrés exacts.

Morphisms and comorphisms of sites I -- Double categories of sites Relations et carrés exacts

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:16.196117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.053542Z digest=sha256:30edb1cff9d12e5a7d46aca839c5b062182766164488e49c5b8caada04b1ec45

Observation 0bd7e99e-1404-42f0-8eca-36e4bbd751d1 · outbound

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

Morphisms and comorphisms of sites I -- Double categories of sites Sketches of an Elephant: A Topos Theory Compendium

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:16.057643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:16.057643Z digest=sha256:ef4217cf282226608b6799ccae2afc33388f7ea656c823d10b6a0d05d600141f

Observation 6edf303a-5654-4433-93bf-1750f6e5642c · outbound

This paper cites Springer Science & Business Media, 2012.

Morphisms and comorphisms of sites I -- Double categories of sites Springer Science & Business Media, 2012

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:16.062055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:16.062055Z digest=sha256:6ba08f7fcafd2408e26ba2036b299d05ceea90f6b3f528e9caa3caa1e32cd912

Observation b6603701-5e60-4a4a-a257-9d6763d5fd53 · outbound

This paper cites Distributive laws for pseudomonads.

Morphisms and comorphisms of sites I -- Double categories of sites Distributive laws for pseudomonads

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:16.167399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.065780Z digest=sha256:2f8dc6bd5e9207c06b443736950fb14d85594a28a79afe185a62568e4c44a006

Observation acb0ec35-9b36-48a9-83ae-6b44073418df · outbound

This paper cites The Glueing Construction and Double Categories.

Morphisms and comorphisms of sites I -- Double categories of sites The Glueing Construction and Double Categories

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:57:16.131472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.069945Z digest=sha256:9445ac88aa901ac4ef36e5265c23b64720a91733addc4680c3840e3f42cdd228

Observation 166b8598-1ae3-42a1-8385-0141f151d4e0 · outbound

This paper cites Yonedatheoryfordoublecategories.

Morphisms and comorphisms of sites I -- Double categories of sites Yonedatheoryfordoublecategories

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:57:16.156532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T21:57:16.074123Z digest=sha256:380938c8ad9ae33853498797917018c94f88d9471e6a4dc2f68d55982b0b0f5a

Observation 098b98b1-70c9-479f-ac43-906f73db843c · outbound

This paper cites Exact completions and small sheaves.

Morphisms and comorphisms of sites I -- Double categories of sites Exact completions and small sheaves

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T21:57:16.077696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:57:16.077696Z digest=sha256:bdad68aebaf736a0a71c3331f1391632de5f056f702e4df4e34b30ded330c8a4

Pith citing papers

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

Morphisms and comorphisms of sites II -- Distributors of sites cites this paper.

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T13:22:57.507046Z digest=sha256:9b9a3adb6d07b7cff3d612077957f942f2087b57b71bcaff22a25f26bb1ecf16