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Paper Citation Record · LEDGER

Pita factorisation in operadic categories

As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2512.22794.

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

pith.paper-citation-record.v1
2512.22794 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:55:02.123295Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T23:14:50.093340Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-29T23:24:02.222304Z

Reference resolution

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation 1ba443a7-8a57-432c-b019-3563e72a2dfe · outbound

This paper cites Double categories and quantum groupoids.

Pita factorisation in operadic categories Double categories and quantum groupoids

Reference 1

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source=arxiv_source observed=2026-08-03T13:55:02.056517Z digest=sha256:c8db4cc7aabd2ba31665dafd2d979db081b440dd8f7339a3a7a6a3c03f4b3134

Observation b88c5dab-b755-4844-87e9-7c60aafdaf82 · outbound

This paper cites The Eckman-Hilton argument and higher operads.

Pita factorisation in operadic categories The Eckman-Hilton argument and higher operads

Reference 2

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source=arxiv_source observed=2026-08-03T13:55:02.059738Z digest=sha256:87eb94ea3dd1555f95d9be8e21a40a9561d2fd46cd04e2ef1ccf74e79a328155

Observation ac79ec89-2b4a-450b-b371-e36720bc8611 · outbound

This paper cites Regular patterns, substitudes, F eynman categories and operads.

Pita factorisation in operadic categories Regular patterns, substitudes, F eynman categories and operads

Reference 3

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source=arxiv_source observed=2026-08-03T13:55:02.062533Z digest=sha256:e8b0f81659b62509d7c4029badfa6fc5a561d8664c1679139e3399732758793c

Observation e631b99f-70bf-4129-9507-b70be8e54f2e · outbound

This paper cites MAIN PAPER.

Pita factorisation in operadic categories MAIN PAPER

Reference 4

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source=arxiv_source observed=2026-08-03T13:55:02.065128Z digest=sha256:134ee8bdcd21a1ecb5c087b545b057f0e13865ec51c917154b9a6a25897908d6

Observation 10129a4d-6d59-4ceb-bff9-bcfd5fbbb8ba · outbound

This paper cites Operadic categories and Duoidal Deligne's conjecture.

Pita factorisation in operadic categories Operadic categories and Duoidal Deligne's conjecture

Reference 5

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source=arxiv_source observed=2026-08-03T13:55:02.067554Z digest=sha256:bfa44064be055e8cf60bd343ae173e50f33d85d022c8e99e7f5e3ef5d11b6939

Observation 8cee8e75-6cbe-4c9f-88ef-8cdc2d4fde58 · outbound

This paper cites Koszul duality for operadic categories.

Pita factorisation in operadic categories Koszul duality for operadic categories

Reference 6

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source=arxiv_source observed=2026-08-03T13:55:02.070254Z digest=sha256:eea92365151265ef94d1d2c101bd57629dabd0d9947be745bd1c4bafeb9e8a00

Observation 7ead8c4b-d676-4627-a251-1bddca01887e · outbound

This paper cites Operadic categories as a natural environment for K oszul duality.

Pita factorisation in operadic categories Operadic categories as a natural environment for K oszul duality

Reference 7

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source=arxiv_source observed=2026-08-03T13:55:02.072753Z digest=sha256:87190847c460972ce6915991d032d76dbd0ea3126abca66b6f8537022ba25a79

Observation e08e3683-8a05-4f93-abcd-c8892c6b62ec · outbound

This paper cites Homotopy theory of algebras of substitudes and their localisation.

Pita factorisation in operadic categories Homotopy theory of algebras of substitudes and their localisation

Reference 8

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source=arxiv_source observed=2026-08-03T13:55:02.075152Z digest=sha256:56dfa46aa7ab4430d7ff243713e90b9241442fd8a67b27281825293df82ece2a

Observation 97615508-591c-4b58-be53-d6f9b8717502 · outbound

This paper cites Hereditary species as monoidal decomposition spaces, comodule bialgebras, and operadic categories.

Pita factorisation in operadic categories Hereditary species as monoidal decomposition spaces, comodule bialgebras, and operadic categories

Reference 9

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source=arxiv_source observed=2026-08-03T13:55:02.077637Z digest=sha256:cdb26295ea1601ea24f37ec0d5ce686cd0862abb13619c453aa4166a4d025f1b

Observation ca652799-d025-4831-b70c-66f0141d9b23 · outbound

This paper cites Cassidy, M.

Pita factorisation in operadic categories Cassidy, M

Reference 10

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source=arxiv_source observed=2026-08-03T13:55:02.080360Z digest=sha256:3515af146fd21379120b2ec7515097d4eca1843a826a2b43c3c0dfe2aeac8652

Observation a0e696d4-21ba-4563-b8b2-a495e7440cad · outbound

This paper cites Directed hereditary species and decomposition spaces.

Pita factorisation in operadic categories Directed hereditary species and decomposition spaces

Reference 11

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source=arxiv_source observed=2026-08-03T13:55:02.082570Z digest=sha256:b8561d81d13ea8f80c5a0fdfd52c5e3b9783fefe8719355cef6a402e68f19372

Observation aa59cfc0-b01a-491e-a866-abcc7c755274 · outbound

This paper cites Abstract substitution in enriched categories.

Pita factorisation in operadic categories Abstract substitution in enriched categories

Reference 12

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source=arxiv_source observed=2026-08-03T13:55:02.085216Z digest=sha256:84b02628b1303eb11e3f84d944fc10262876c4e2278b3a58880f343f25936e9a

Observation 4fba1a9f-4403-41d1-94d9-801689573f9c · outbound

This paper cites Higher Segal spaces I.

Pita factorisation in operadic categories Higher Segal spaces I

Reference 13

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source=arxiv_source observed=2026-08-03T13:55:02.087328Z digest=sha256:1fa2fca5650038a8d4d817f7e7ed86c5c9c23bd775bb705f3f92b311c9d6480a

Observation 91473b92-a0a2-4f37-a0d9-4f30517dc131 · outbound

This paper cites Decomposition spaces, incidence algebras and M\"obius inversion I: basic theory.

Pita factorisation in operadic categories Decomposition spaces, incidence algebras and M\"obius inversion I: basic theory

Reference 14

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source=arxiv_source observed=2026-08-03T13:55:02.089646Z digest=sha256:f3c127b7094a5b89bf9dfed988308fb8fa950687a9bb626846191474ce94862c

Observation 0f2d341c-7d7a-464c-b346-a56390e75784 · outbound

This paper cites Decomposition spaces and restriction species.

Pita factorisation in operadic categories Decomposition spaces and restriction species

Reference 15

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source=arxiv_source observed=2026-08-03T13:55:02.091844Z digest=sha256:2b594d0e497f5e865bb8b253c9783648c3d42d7bedd7c8ae3723ca24d2120c27

Observation c86a9fad-4a28-473b-be7c-ea61ca016ff6 · outbound

This paper cites Decomposition spaces in Combinatorics.

Pita factorisation in operadic categories Decomposition spaces in Combinatorics

Reference 16

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source=arxiv_source observed=2026-08-03T13:55:02.094092Z digest=sha256:a040ef6f4d1802ac30f0011889bc34c218499253bddae582f2533d99d6cf850c

Observation ee336b55-8fb7-4d22-91a4-f19675a245be · outbound

This paper cites Operadic categories and d\'ecalage.

Pita factorisation in operadic categories Operadic categories and d\'ecalage

Reference 17

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source=arxiv_source observed=2026-08-03T13:55:02.096635Z digest=sha256:0113d5d92faf74568c13190a401ed1dbe76b74753734703ecfff70afaab0f432

Observation c6c8efcd-d915-482e-87f7-441992f845c7 · outbound

This paper cites an unresolved cited work.

Pita factorisation in operadic categories Unresolved cited work

Reference 18

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source=arxiv_source observed=2026-08-03T13:55:02.099114Z digest=sha256:961c5621080f612c854837184ef3fc1fd4b00fbec5fdc64cfae893503b1ac0b9

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

This paper cites On orthogonal factorization systems and double categories.

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

Reference 19

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source=arxiv_source observed=2026-08-03T13:55:02.101552Z digest=sha256:806a50b2caceae11ee0fae9af9330335c171f68973537d794150b19dd2b12489

Observation 53f483c5-8c12-4097-82eb-4e77804fd6b4 · outbound

This paper cites Fa\`a di Bruno for operads and internal algebras.

Pita factorisation in operadic categories Fa\`a di Bruno for operads and internal algebras

Reference 20

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source=arxiv_source observed=2026-08-03T13:55:02.105269Z digest=sha256:d916540b04e7694d0ae5642b0e721f129233a043fd5b2b2699dea2e1c376057d

Observation e18c79a5-8e3d-4249-9cf9-ca33114f9e61 · outbound

This paper cites Operadic categories and their skew monoidal categories of collections.

Pita factorisation in operadic categories Operadic categories and their skew monoidal categories of collections

Reference 21

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source=arxiv_source observed=2026-08-03T13:55:02.108422Z digest=sha256:d815a6415463e61a41e7348fe810bad614976136320a46a9c66507d11aafc3ff

Observation 501cd0a8-3d68-4af9-9881-a26422fa73b2 · outbound

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Pita factorisation in operadic categories Unresolved cited work

Reference 22

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source=arxiv_source observed=2026-08-03T13:55:02.110925Z digest=sha256:8f5a55b9a5a85b8cb8afb6f8c0fa65171992f3cc3ca561101e470088d442e888

Observation ead89c16-2a8c-4468-b556-723a57598747 · outbound

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Pita factorisation in operadic categories Unresolved cited work

Reference 23

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source=arxiv_source observed=2026-08-03T13:55:02.113018Z digest=sha256:b3ea8cf3158282c39a6553600c33d63dc7003a71b8a68aa412bbade03d9874dd

Observation c887d4b3-f4b9-4934-976a-1713091d9226 · outbound

This paper cites Cloven operadic categories: An approach to operadic categories with cardinalities in finite unordered sets.

Pita factorisation in operadic categories Cloven operadic categories: An approach to operadic categories with cardinalities in finite unordered sets

Reference 24

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source=arxiv_source observed=2026-08-03T13:55:02.115017Z digest=sha256:088456e8d465499de672cf73222e9fe139b7019046e0d19284620b7b22bd48c3

Observation 979940b6-1f54-404a-897c-a279def5f7d6 · outbound

This paper cites Lie- B utcher theory for R unge- K utta methods.

Pita factorisation in operadic categories Lie- B utcher theory for R unge- K utta methods

Reference 25

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source=arxiv_source observed=2026-08-03T13:55:02.116980Z digest=sha256:de671c60995b2ebfa6cb88bbf10673298c51258670d4912cae22056ae2fd6e7a

Observation b1375943-3583-4a6e-bf62-762b10c7b183 · outbound

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Pita factorisation in operadic categories Unresolved cited work

Reference 26

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source=arxiv_source observed=2026-08-03T13:55:02.119083Z digest=sha256:a94bcbf48ccda42396486985d0e595ccc0c34655a3e2171e3add8001258798ed

Observation 6c161542-9434-4a1d-9454-3a4022f8c58a · outbound

This paper cites Factorization systems and double categories.

Pita factorisation in operadic categories Factorization systems and double categories

Reference 27

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source=arxiv_source observed=2026-08-03T13:55:02.121192Z digest=sha256:c2e91ddf37ec349b7611b32946a9482e49fcf716d9746f4ed51e8faf9912d531

Observation ef6b0e54-9204-4ffd-90c3-614141e10546 · outbound

This paper cites Internal algebra classifiers as codescent objects of crossed internal categories.

Pita factorisation in operadic categories Internal algebra classifiers as codescent objects of crossed internal categories

Reference 28

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source=arxiv_source observed=2026-08-03T13:55:02.123295Z digest=sha256:5382730de551ce3340bd39b54d192712218e9db0c49e940b50a979f1940fb9ab

Pith citing papers

Observation 55d5650c-ac75-4d44-addf-261714be1fd2 · inbound

Polynomial $2$-monads and delooping cites this paper.

Polynomial $2$-monads and delooping Pita factorisation in operadic categories

Reference 8

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source=pdf_text observed=2026-06-29T23:14:50.093340Z digest=sha256:e2094a8c4b7cc4208c425adb0882b5ccaae4fd01c501d4a122684befc008e506