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Paper Citation Record · LEDGER

On orthogonal factorization systems and double categories

As of 21 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 3 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 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:45:45.170338Z

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=sha256:7fc31f3aaab144a8dad9a035348bcde4857c9834fe34a5417b0f42eca9d0b13a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.131699Z digest=sha256:ea2ebdeb02c1dd4323f3813849c58f452637f146cea68634efa98796df652b73

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.119701Z digest=sha256:5dc3285f95962b9130b101c2ce811cd665fe3592527aaa96c5b8da3f8709a644

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.115917Z digest=sha256:275d7557a36888d4c8c2a127aecf5a05e9c40e826ed38541d61341f09e4a9191

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.106295Z digest=sha256:7d916f2817422d44b2d05f1525944f45106360dfa69425f32010e66a12f85ff5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.123559Z digest=sha256:ce5effa1babf294486ea2ea1cafa2e6c1b2567bd4bd278604205fb59f51c0155

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:36:38.093462Z digest=sha256:213da6b199d53e182ebeea71d21747e41c6ab258a0a9f6bb16aed2912fe66be3

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:e248c5c8cf418ad2620f4152e2d4ac19f7c31cc47f14bb1adb41693eb9473fce

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:b2c37f63f96b9eff4ff5d2949e12190144492bc7085c3d03b80e2a99c38df5ea

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:db66def3725fea946e0063f9c3d064135f334ef8876510f9dde95fc4f340560e

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=sha256:7c47b9a7e66f31cf951f252ebd2ebde202c3c525ae4f26ea8005b753d05b1ab1

Observation cb1af9e9-a8d1-4476-a3db-7961c4cb8e25 · inbound

Day convolution for algebraic patterns cites this paper.

Day convolution for algebraic patterns On orthogonal factorization systems and double categories

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T15:45:45.170338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:45:45.170338Z digest=sha256:c91b7ae26217e049db141f321119ccdaac99d860a2d2ed9ccce4e05ef5be28e4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T13:51:08.755008Z digest=sha256:d9939c3e50d0b5dbc66a0ad6c0dd7f6f090a2dd04bdd55a11a356b47760695b8