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Paper Citation Record · LEDGER

Double-functorial representation of regular hyperdoctrines

As of 20 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2508.06637.

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

pith.paper-citation-record.v1
2508.06637 v3

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:42:54.483452Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 95602a2b-43ea-4799-a4cb-43d4d914083a · outbound

This paper cites Propositional logics for the L awvere quantale.

Double-functorial representation of regular hyperdoctrines Propositional logics for the L awvere quantale

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.824790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.398697Z digest=sha256:d0fc42b6644a301e4babcef4080f2f9b92f5b54f2cddc26a19e87699f333274b

Observation 913fe408-db01-4cba-99b0-07748dc1e093 · outbound

This paper cites Spectral M ackey functors and equivariant algebraic K -theory ( I ).

Double-functorial representation of regular hyperdoctrines Spectral M ackey functors and equivariant algebraic K -theory ( I )

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.810307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.403602Z digest=sha256:cb179bd0ac47d05dca2d2440327493002bc920b33a47520418395ee2a6e33b3b

Observation b752542f-425c-4a38-8d95-8a2044aa3dd6 · outbound

This paper cites Adjoining adjoints.

Double-functorial representation of regular hyperdoctrines Adjoining adjoints

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.795985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.408289Z digest=sha256:04a194e65ced74fc61d7b4d7829bb5d5b26c38abaa50eb666e445f31efcd5942

Observation 4d85a0c4-9eb6-41de-9edc-855431871dff · outbound

This paper cites Universal properties of span.

Double-functorial representation of regular hyperdoctrines Universal properties of span

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.782448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.413187Z digest=sha256:5af495c23270983c69f838f27699dc6c9cff27c97100a8772fc17192b5b7f780

Observation 49db4a18-f71f-4bba-a769-71a16613f831 · outbound

This paper cites The span construction.

Double-functorial representation of regular hyperdoctrines The span construction

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.767676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.418122Z digest=sha256:83cab712d19c3b13f6675bb38ae468e87eb208dd8ba125b214cca5a4ec71c93c

Observation 26bdb906-6f08-4f72-88e2-dbff0c7f456e · outbound

This paper cites Graphical Regular Logic.

Double-functorial representation of regular hyperdoctrines Graphical Regular Logic

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:42:54.577212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.422821Z digest=sha256:1a7ccc93f1db15353101d211a8cb24a16f29257915f679695094538f58d099c6

Observation b62825c6-a727-4ef1-8846-db38328740e1 · outbound

This paper cites an unresolved cited work.

Double-functorial representation of regular hyperdoctrines Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:42:54.753045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.428350Z digest=sha256:e8d2ba7b093acb262c17ad0e449d9b7f576dce8b727b6283fd91189ec4bf692a

Observation de8dcc61-65be-4a34-8f7f-99c5689ffb97 · outbound

This paper cites Limits in double categories.

Double-functorial representation of regular hyperdoctrines Limits in double categories

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.738249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.432794Z digest=sha256:b67adbdb2620b98368c8dd594de9ad4d7397d15a16fa70eb226382c95c0c7c07

Observation 698487f9-16ef-4185-8aee-375b5c6ac49d · outbound

This paper cites Higher Dimensional Categories: From Double to Multiple Categories.

Double-functorial representation of regular hyperdoctrines Higher Dimensional Categories: From Double to Multiple Categories

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.723757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.436951Z digest=sha256:427cadb42f07015558697f84c8032d1444cc93d7345616ab2baff724143dad3c

Observation 994d754d-b58d-4fd6-a695-6a925a59c450 · outbound

This paper cites Two-variable fibrations, factorisation systems and categories of spans.

Double-functorial representation of regular hyperdoctrines Two-variable fibrations, factorisation systems and categories of spans

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.709705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.441221Z digest=sha256:6edcc64141c12f36fb18355f75bf233d2b598d2287f87140b20f777a3cfd3584

Observation 507ccb8f-2476-4f25-a468-8eca214a65b3 · outbound

This paper cites Representable multicategories.

Double-functorial representation of regular hyperdoctrines Representable multicategories

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.694995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.445426Z digest=sha256:ea080d1a5edb193dffde3f61062c3ee031f8ca59f6f6c1cf34c66367c1731fd2

Observation ac3bc372-ded7-4fdf-917a-52744eb3e332 · outbound

This paper cites Cartesian double theories: A double-categorical framework for categorical doctrines.

Double-functorial representation of regular hyperdoctrines Cartesian double theories: A double-categorical framework for categorical doctrines

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.679819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.449581Z digest=sha256:c361bff3c45dcc4ae52aae59d7edb47f5af61c529ae29e22a6881a8f96583716

Observation 58cd532b-700e-418d-b590-e0dae1fc04a1 · outbound

This paper cites William Lawvere.

Double-functorial representation of regular hyperdoctrines William Lawvere

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.661861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.453866Z digest=sha256:e42fa0f8a37eee1c1228ac33ef1022af133dc96e2ac5b6349b51db5b146ddc2e

Observation 4d6d1ecc-e3f7-4c5e-baa9-bbfc8f728bc1 · outbound

This paper cites Towards a double operadic theory of systems.

Double-functorial representation of regular hyperdoctrines Towards a double operadic theory of systems

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T22:42:54.457955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:42:54.457955Z digest=sha256:d13e740282433de4032ed3332cbeed43b05af4aa2f9b669eb72ec35890597030

Observation f21d2045-4ed5-40a7-b355-843de66d2639 · outbound

This paper cites Monoidal G rothendieck C onstruction.

Double-functorial representation of regular hyperdoctrines Monoidal G rothendieck C onstruction

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.642815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.462494Z digest=sha256:cc6ab2ca8a7158f90e797b9d3f1733af63f67cbeb9e6fc254e68dd0ff637be26

Observation 1f8a06c5-3cad-4a58-a2ed-f79cb7670737 · outbound

This paper cites Retrocells.

Double-functorial representation of regular hyperdoctrines Retrocells

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.626107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.466844Z digest=sha256:776f6712f34560750331a69137db0565e4731a461104c3042af84433555d7155

Observation aeb99dea-9334-49e2-8242-adab0ec6e153 · outbound

This paper cites an unresolved cited work.

Double-functorial representation of regular hyperdoctrines Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T22:42:54.610647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.470930Z digest=sha256:2f96f77f277c29340a6120d2e6680a817853c1e0cf5578a9d6ee46f211061cad

Observation 588a306c-8c1f-4b82-9c0c-4c7b3086b4a0 · outbound

This paper cites Comparing composites of left and right derived functors.

Double-functorial representation of regular hyperdoctrines Comparing composites of left and right derived functors

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:42:54.594614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.474905Z digest=sha256:b198d1ed9753fc4f9f2a4e85267a1da9fc7cf7616a4ff29a4fdca73295a84f83

Observation d50ab691-68f3-4d6e-8b5c-ccdc6918c427 · outbound

This paper cites The operad of wiring diagrams: formalizing a graphical language for databases, recursion, and plug-and-play circuits.

Double-functorial representation of regular hyperdoctrines The operad of wiring diagrams: formalizing a graphical language for databases, recursion, and plug-and-play circuits

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-05T22:42:54.479152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:42:54.479152Z digest=sha256:f6fcc1f7b1412c9a5d8c85c9ca8482da16a50f64b3b2049659c798b3e0f5b891

Observation 40d1399e-05de-48c8-81f7-abdeaa00b430 · outbound

This paper cites Generalized Lens Categories via functors $\mathcal{C}^{\rm op}\to\mathsf{Cat}$.

Double-functorial representation of regular hyperdoctrines Generalized Lens Categories via functors $\mathcal{C}^{\rm op}\to\mathsf{Cat}$

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T22:42:54.483452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:42:54.483452Z digest=sha256:6fa3e677c96e80d13bb31393a105473584e408fb98dd7df2337e74b16714b312

Pith citing papers

No inbound Pith citation observations are available.