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Paper Citation Record · LEDGER

On orthogonal factorization systems and double categories

As of 12 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 2 inbound Pith citation observations for arXiv:2501.01363.

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

pith.paper-citation-record.v1
2501.01363 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:36:38.131699Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:55:02.101552Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T04:27:37.413553Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19191494-7b80-4a4d-b6f9-9a835d654686 · outbound

This paper cites Homotopy-coherent al gebra via Segal conditions.

On orthogonal factorization systems and double categories Homotopy-coherent al gebra via Segal conditions

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T22:36:38.102280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:36:38.102280Z digest=sha256:38b2bc96ab2c8b368f4cd201bc5aa7094b65cf2b935645d5beb03efdc55bc4e5

Observation e95d0a52-cb10-42ea-80ea-5b619b5ad921 · outbound

This paper cites Factorization systems and double categories.

On orthogonal factorization systems and double categories Factorization systems and double categories

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T22:36:38.168089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.131699Z digest=sha256:6adf8b096b18a148b70abd9c90c5f386486cd0f009ad4de9bbf61d1245824255

Observation 7cc10063-96d5-4654-9549-abe071f10503 · outbound

This paper cites Princeton University Press, Princeton, NJ, 2009, pp.

On orthogonal factorization systems and double categories Princeton University Press, Princeton, NJ, 2009, pp

Reference 170

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:36:38.353081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.119701Z digest=sha256:90a5d362cb18fde491a2e9cec74e1adf3597e3520e189d79cd10d8cd7431f2d2

Observation 58bd136e-8307-4558-a1a6-1d287f696273 · outbound

This paper cites an unresolved cited work.

On orthogonal factorization systems and double categories Unresolved cited work

Reference 431

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:36:38.365580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.115917Z digest=sha256:3be221c87883072c542282f6242416fde4273583e4133b397857c3548c3a57fb

Observation db410a22-851a-4181-86e3-dcf852b3244b · outbound

This paper cites Lax monoidal adjunctions, two-variable fibrations and the calc ulus of mates.

On orthogonal factorization systems and double categories Lax monoidal adjunctions, two-variable fibrations and the calc ulus of mates

Reference 2013

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:36:38.377788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.106295Z digest=sha256:b5bbd208ee720279dcbf4db15803717d6d3b0b2e6abf9d76387bf4ac24baa1f5

Observation 14629488-3fa7-4c8c-84d3-c05814f7e12b · outbound

This paper cites Duality for groups.

On orthogonal factorization systems and double categories Duality for groups

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:36:38.342008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.123559Z digest=sha256:ca300004d3b59223ab2ac3e675bc962096fa590833f9976c783fffa015a57339

Observation eab297b5-2232-4618-a6c6-97c35ddc1813 · outbound

This paper cites Fibrations of $\infty$-categories.

On orthogonal factorization systems and double categories Fibrations of $\infty$-categories

Reference 2020

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:36:38.330984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T22:36:38.093462Z digest=sha256:b609337b1715b99c019ac3dc92acd757e90ab9073ffb769c9b11d6923bf1a094

Observation 9b2bb8a2-5745-441b-af08-3bb535bd6191 · outbound

This paper cites The $\infty$-Categorical Reflection Theorem and Applications.

On orthogonal factorization systems and double categories The $\infty$-Categorical Reflection Theorem and Applications

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T22:36:38.127759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:36:38.127759Z digest=sha256:41e62eac05d154f14eb8a5758c5267d6c4a56e093858684fd162de877b22dc02

Observation 245654bc-416b-4a57-80e3-24565768a4a1 · outbound

This paper cites A short proof that Rezk's nerve is fully faithful.

On orthogonal factorization systems and double categories A short proof that Rezk's nerve is fully faithful

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-10T22:36:38.110214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:36:38.110214Z digest=sha256:1f1619e4df9434fc47a0470efb4c79c52a14e7d1fd198ab489d66bc035939832

Observation 730b1007-455e-4bad-a042-c0647aef534a · outbound

This paper cites Straightening for lax transformations and adjunctions of $(\infty,2)$-categories.

On orthogonal factorization systems and double categories Straightening for lax transformations and adjunctions of $(\infty,2)$-categories

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-10T22:36:38.098267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:36:38.098267Z digest=sha256:d4dc7fac42b0f9feec9ff3a92cf7b93ffc11326917aae3d669f06cec1f96d06e

Pith citing papers

Observation beaf148d-762b-4797-ab0d-ad7a0d836565 · inbound

Pita factorisation in operadic categories cites this paper.

Pita factorisation in operadic categories On orthogonal factorization systems and double categories

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T13:55:02.101552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T13:55:02.101552Z digest=sha256:448b59f3b5b9697812a300af62ae49aea970b75e5febc94a59043fc279aea91e

Observation 1566ffa8-3850-4ffa-a245-4682d956b8a5 · inbound

The span-squares adjunction cites this paper.

The span-squares adjunction On orthogonal factorization systems and double categories

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-03T04:27:37.415030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:53585b52572b3588e24c10fd8382e01856bc5880548d818886d17ddd2b45309f