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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=sha256:8d3214fe067f44ea1ea853408ab7a6afc144af3c742f516627d203091bb320b7

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:c688bf18145a4aca2660c8c692b628067979a6a410a955b8a361b301a7540a92

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:f6c9ae0189d8e01797488f811ad2125c3e136c0008bc1eaf6a42dd505a9d8529

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:d6dbb8ca5bce9dc03e55fcb14bab2096795d6fe8d63b7889ee61df629779589e

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:ffb9ad6e96850a1b548f71903aa891d72b31b1e0f0fd3ab3e83bd4110bd305cf

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=sha256:3d8606ba936edce169ef72525a5bf29694622e5dd373a97be7d95da09e01a8b8

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=sha256:8d29e4b73a6e5cf17fe5d37612616a9e9d7dc4e2ec3f2e47ef45096827d77a28

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=sha256:3b5e87d11fcc9348368185897d9389e1a653dc40a5f7897bc0521128d523572a

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=sha256:4c836599090684a66001938b4c2b3c33907639fb01b3dc616f627a09cc5aec78

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=sha256:1ff07f4fe80b56427ce8a720812a57178dde7b7b36eaa02c1a67a37558d64f00

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=sha256:5d5dea3c3651b1aa63265b942d49a1440a42a150f4c001039a71cdb557a008c8

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=sha256:627c1edcb821672981730c39949b4bf7adc26866597c9785e5e580e2380dc70e