Paper Citation Record · LEDGER

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account

As of 13 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2607.27541.

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

pith.paper-citation-record.v1
2607.27541 v1

Coverage vector

measured 33 of 33 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T06:07:04.472732Z

measured 33 of 33 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact14
verified fuzzy0
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External citation measurements

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Outbound references

Observation 368e1cc1-973b-4c1a-9e8e-9d4efadb6ba0 · outbound

This paper cites Max Kelly, and A.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Max Kelly, and A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.076194Z

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Observation 658cb241-ddfe-44f8-9f80-1e5b5c7f2953 · outbound

This paper cites Fibred 2-categories and bicategories.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Fibred 2-categories and bicategories.J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.155464Z

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Observation 5e73d00d-2161-4675-9a17-79ea52334206 · outbound

This paper cites Lax orthogonal factorisation systems.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Lax orthogonal factorisation systems

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.399302Z

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Observation d14f0e86-4ff1-469c-bb3f-a203d9a561a2 · outbound

This paper cites Lax comma 2-categories and admissible 2-functors.Theory Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Lax comma 2-categories and admissible 2-functors.Theory Appl

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.719179Z

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

Observation 6678b2dc-2421-4843-b2d2-d1443b50c59a · outbound

This paper cites A comonad for Grothendieck fibrations.Theory Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account A comonad for Grothendieck fibrations.Theory Appl

Reference 5

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.642323Z

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Observation aaac3324-1661-4f79-9559-793970b11a9f · outbound

This paper cites Geometric constructions preserve fibrations.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Geometric constructions preserve fibrations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.625755Z

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Observation f55608b4-8d33-4789-b9b2-6f0e92cbce71 · outbound

This paper cites Natural weak factorization systems.Arch.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Natural weak factorization systems.Arch

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.715279Z

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Observation 40d312ef-0308-43fe-85bb-4df8ae5e0085 · outbound

This paper cites an unresolved cited work.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.569422Z

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Observation 55ff2b06-e6dd-4ee0-8ae7-70928a11958c · outbound

This paper cites Catégories fibrées et descente.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Catégories fibrées et descente

Reference 9

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.387020Z

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Observation 4234ea09-690d-4568-bc4d-e5242aa215fa · outbound

This paper cites Some properties of Fib as a fibred 2-category.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Some properties of Fib as a fibred 2-category.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.943715Z

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Observation 95f942c1-4f27-430b-81b1-f6795ac01f41 · outbound

This paper cites North-Holland, Amsterdam, 1999.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account North-Holland, Amsterdam, 1999

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.031706Z

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Observation 548e4ea1-375b-4bc8-8bf0-fc59022221e1 · outbound

This paper cites Functorial factorization, well-pointedness and separabil- ity.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Functorial factorization, well-pointedness and separabil- ity.J

Reference 12

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.113684Z

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Observation eb8586f8-7ed4-4ab4-b1be-8cbc5681950f · outbound

This paper cites Max Kelly and Ross Street.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Max Kelly and Ross Street

Reference 13

Resolution: verified exact; doi, observed 2026-08-01T06:08:28.040709Z

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Observation bfad3a3c-0a6f-43f8-ab81-74c37517dbb5 · outbound

This paper cites Monads for which structures are adjoint to units.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Monads for which structures are adjoint to units.J

Reference 14

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.971342Z

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Observation 1861b444-4935-48b5-8887-3cff0b1c8f6b · outbound

This paper cites Factorization systems as Eilenberg–Moore algebras.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Factorization systems as Eilenberg–Moore algebras.J

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.886527Z

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Observation 97e3c18f-2b8d-41fe-9749-38561b2cecf3 · outbound

This paper cites Pseudoalgebras and non-canonical isomorphisms.Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Pseudoalgebras and non-canonical isomorphisms.Appl

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.798306Z

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Observation 4cd1005a-f19e-4113-9474-2fbc6547354d · outbound

This paper cites CHAD for Expressive Total Languages.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account CHAD for Expressive Total Languages

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.451316Z

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Observation 98635e90-a624-4aaf-bdec-ac65142644ae · outbound

This paper cites Monoidal closure of Grothendieck constructions via Σ-tractable monoidal structures and Dialectica formulas.Theory Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Monoidal closure of Grothendieck constructions via Σ-tractable monoidal structures and Dialectica formulas.Theory Appl

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.511421Z

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Observation 5fdaeb10-f0be-4bf1-b0d7-a7bbfaa76b26 · outbound

This paper cites Cauchy Completeness, Lax Epimorphisms and Effective Descent for Split Fibrations.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Cauchy Completeness, Lax Epimorphisms and Effective Descent for Split Fibrations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.570319Z

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Observation 9676bf18-2887-41bc-853d-e493fe9f0ae6 · outbound

This paper cites Monoidal Grothendieck construction.Theory Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Monoidal Grothendieck construction.Theory Appl

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.624532Z

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Observation df6af39f-f7e5-42d8-81c4-3db585a0e740 · outbound

This paper cites Kan extensions are partial colimits.Appl.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Kan extensions are partial colimits.Appl

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.717173Z

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

Observation 4c1ccfa4-0f95-4fb1-814a-4731b434fb5b · outbound

This paper cites Diagrams, Fibrations, and the Decomposition of Colimits.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Diagrams, Fibrations, and the Decomposition of Colimits

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.738394Z

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Observation 1c019079-99e3-4275-b075-d757a42be896 · outbound

This paper cites an unresolved cited work.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.610778Z

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

Observation 05a4c8f5-4314-41f7-8657-94c86c36c389 · outbound

This paper cites an unresolved cited work.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.506171Z

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

Observation 6a5ec911-6377-4480-bdc4-71301f16baaf · outbound

This paper cites Lax factorization algebras.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Lax factorization algebras.J

Reference 25

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.410116Z

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Observation f227b68a-9194-4ae6-8c98-d9e4d14d700d · outbound

This paper cites Factorization, fibration and torsion.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Factorization, fibration and torsion.J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:03.959148Z

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Observation 96580f36-d978-487f-9a43-b99b62f6bc3f · outbound

This paper cites The formal theory of monads.J.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account The formal theory of monads.J

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:04.058500Z

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Observation 8810755f-9d27-4bb0-a1a4-9b3a09b5b08e · outbound

This paper cites Fibrations and Yoneda’s lemma in a 2-category.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Fibrations and Yoneda’s lemma in a 2-category

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:04.163265Z

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Observation a933a98d-ec24-43ae-bd59-b2d5e9f0c5ab · outbound

This paper cites Fibrations in bicategories.Cah.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Fibrations in bicategories.Cah

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:04.247760Z

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Observation 6a5c4f47-32bb-4f60-9926-7e1cd9930e73 · outbound

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From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-08-01T06:08:27.301888Z

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Observation b7d4949b-c056-4f81-8891-020488445c37 · outbound

This paper cites On enriched fibrations.Cah.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account On enriched fibrations.Cah

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:04.418692Z

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Observation e78a959a-20db-4274-9b66-fb804e88759f · outbound

This paper cites Doctrines on 2-categories.Math.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Doctrines on 2-categories.Math

Reference 32

Resolution: malformed identifier; no resolver link, observed 2026-08-01T06:07:04.472732Z

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Observation 86fb25cc-ab7c-448f-802c-52e73fb1cd9f · outbound

This paper cites Fibred 2-categories and bicategories.

From Grothendieck cofibrations to factorization systems: a formal 2-monadic account Fibred 2-categories and bicategories

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-01T06:07:02.279535Z

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Pith citing papers

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