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Paper Citation Record · LEDGER

Pita factorisation in operadic categories

As of 12 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 2026-08-12T06:34:41.77262+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:ff85074944362822c0d55bde6a07766c3b158a6fa2112ee62b4e0c13611f4224

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=sha256:88d576c94bcf32dcdc200c73bf7941b4ff9869602304af8b3def3681352562ac

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=sha256:0235e33a481b2ae44711dac5e1d15fd962541993310904b9da110bdbd8636d6f

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=sha256:2374c675ad6f673d42bb8b18776fb734044a46faaffe62d40be5c158a812adc5

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=sha256:44018b9882e2221a269d0ff12d563c7f2482b8a5b1a51b2ebb7e271c63d6078d

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:a086a780728d54056768e66a45ca6adf58d96310d0dbbf7a643fbdde7961dfee

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:c8c90d2012dff612a3ccc69af5c4fe93fde290aa6348159630ea423fcd7234ac

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=sha256:688d9a95c42a10ecd0a7150937d63caf9022991a896a9c79bcdf1b12d404b12d

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:d31e095bf17208d9fb45fa8339fa824537046bec89df2136c3249ee2cc7a57bc

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=sha256:958661854798495fdea5cac09e3f7bbc90fc84c3024177f6fa12d2fb79a47a76

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=sha256:12dbae378c18ee50fb581b6467fb8a488f209a9c23f643840143421446e4d8ae

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=sha256:98548c175e33d1dea873309bb85638a519a09119a5ad02fde42df0b2b947a864

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:f8316590f6a92fce0ff486a0faaf85b8579fdfb7ce09778a2e5de3ebc6732882

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:e2ed8d6a7263fee7e896aa026bb22f86c45962477188355054fe448daa3bf7e7

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:bae86f20a353d0047b1231a9f26fc411ed201d99b0eff4268a6c894c52891250

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=sha256:1dc38c86045744813cf6c6ca8391b5af473fbaa7d9af03867fa1c97bc3f079df

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:b4f2858f2a0b6e84ad48c68f9b861c674030b20553052cf8bf60b37547d58d0b

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=sha256:7ad846045936a6d2e7584b234e8104f84a85ab7bf3a1a9b304255ec8abcda111

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=sha256:448b59f3b5b9697812a300af62ae49aea970b75e5febc94a59043fc279aea91e

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:cd306eeef14d606e595a57c57b5d5d81a789e6a34b17e4e06ade15a16d756e58

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:ef9d7defd05650123e25b785cb3a0a1f71188b2d7c53975f09d46ecbebdea001

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=sha256:04bebc317f0b494b9f049fb9f7374b4783bea6c631ffee927ea35dbbb20dc6f1

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:a3e61063e5a002ea3947bf923c5fe66c167eb964537bde5384009e8a98562176

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=sha256:4240a472a2bfba24d24fa9a468f4b2bc58a354c7d83e20bda3f8eda6868bb57b

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=sha256:02a13e203f77d5d39dd1f3b707dd3a2cd7c02e9819ce32af0331cabc61932202

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=sha256:0b544871195fc8e0c9c7bbeddf534679cb8e52faae8bc79ccb853d826e977041

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=sha256:6a805514d7585a7297411b703c30af66a6a0dccfed96af327523562ec1c76266

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=sha256:68ee86bead23579291df9f199fc7981a08a548e113ea59525b87bbf6793721c3

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:dcd204eeba9d3337d21ab412065f20766497a6517005c1ba5270f1d2f4475834