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Paper Citation Record · LEDGER

Double-functorial representation of regular hyperdoctrines

As of 9 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 2026-08-09T06:31:02.800959+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

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.398697Z digest=sha256:64e1e12d254b55a4a088d78dd709ced4be40e45502a2b541f780e04978db2875

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.403602Z digest=sha256:a4aa470505f70a811f75b907cd73ead1c1552921a3d9e5c6e85d44e326d31557

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.408289Z digest=sha256:8ca819226394789af9965c79f91b7b5ba7cc21a3c0b835e5791de23ce18596b8

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.413187Z digest=sha256:19a6aa4c368b0aea41aef345a199257597aed2bb9b09cf946832cbbbbb62efb3

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.418122Z digest=sha256:2131e7a1f6e3f747c5e5801c5622009878dbbc3333c5d44a89c5f2a761dfb484

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.422821Z digest=sha256:5e006a464651f9347a07c0e2f99b1a8f4f71d4cbb820f50f510ff57d78660f08

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.428350Z digest=sha256:99f0a7da799b33cce80fded16235619589648a3954eb9b634bc154b3fdb0ad15

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.432794Z digest=sha256:e64a21eea16a8fadd595ed2b45196d315e5df8183b02020d583d825d90e6c085

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.436951Z digest=sha256:2eaabffc8b91e19dfd6501abca55593e09edde92f3b2a57a2babf0a83ac4722d

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.441221Z digest=sha256:6338ea5fd082018b33e2b7b2d821e52fa6a9321ccfe0ecaa8770cbbed0ee074b

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.445426Z digest=sha256:63a147ffbdd28ca9cf796673d70348e84dcbcff4df9cff83a14365ed94065dd4

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.449581Z digest=sha256:b86ca500dd353dd346ff072d91e36c8f5067406cbb926e84567d20d13ea5aa6c

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.453866Z digest=sha256:cedb34013c29a57c41ee612b225f618471f18edd9e5a2f664181ac9d26cf2299

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=sha256:99bb3e0fab8831dffe4b10af8bf23e661aa4ec659c83ce94bea18f4cd8a7b9b2

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.462494Z digest=sha256:584d4bed2b6960396c6b0aa031e99720ccca0e0300cf64a3b4b69bea2615f2eb

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.466844Z digest=sha256:456844406e26a4c40b0cb39c0937bfdd95ad5dd821b76661ae2c0593e6f00603

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.470930Z digest=sha256:1892888fab971dd1146c0fb2e6a5163b8dd4a12c5a7cc94276b73d956d6b2fcc

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-08-05T22:42:54.474905Z digest=sha256:b932d8b53ff5d34c5230e765c277bab870eebcbad9df0f9ee6f9c6a14c7c7f76

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=sha256:3912f4eed62eb682a0f82c6ed752999e594e884650daf4f40ea218d7855b5348

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:bd37ec09c0c12831303ddfb6d713cf81526dd286b8e86dd8bb46f842b20dfc14

Pith citing papers

No inbound Pith citation observations are available.