Paper Citation Record · LEDGER

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2508.18658.

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pith.paper-citation-record.v1
2508.18658 v1

Coverage vector

measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T17:06:40.469953Z

measured 41 of 41 standing notices

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Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation f2dd5c19-612c-404c-b2d5-cd2509a53ea0 · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:41.007008Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 98dd6561-2237-4fc0-9682-a87ff78ee3a1 · outbound

This paper cites Brouder, Trees, Renormalization and Di fferential Equations, BIT Numerical Mathematics 44 (2004), 425-438.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Brouder, Trees, Renormalization and Di fferential Equations, BIT Numerical Mathematics 44 (2004), 425-438

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.992128Z

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Observation 8dac6d62-6752-43ce-8f7e-cab6a47ea91b · outbound

This paper cites Brouder, A.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Brouder, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.980585Z

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Observation f476ebf3-05c2-444f-9356-d876c43f6baa · outbound

This paper cites Bruned, M.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Bruned, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.967004Z

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Observation b4ae513c-971f-4b56-8a1c-bc297aa1be15 · outbound

This paper cites Connes and D.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Connes and D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.954606Z

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Observation f026471a-e859-4aaf-8441-df051f1d24c1 · outbound

This paper cites Clavier, L.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Clavier, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.940191Z

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Observation c6564863-f10a-492d-8261-8f4607f57145 · outbound

This paper cites Chapoton and M.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Chapoton and M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.927793Z

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Observation 28a907a4-561f-484f-a805-0b1d099c3a35 · outbound

This paper cites Chakraborty and F.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Chakraborty and F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.916243Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dc0d96eb-82d0-4d6c-98b1-941fe0023b25 · outbound

This paper cites Foissy, Introduction to Hopf algebra of rooted trees, URL: http: //loic.foissy.free.fr/pageperso/p11.pdf 6, 17, 19.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Foissy, Introduction to Hopf algebra of rooted trees, URL: http: //loic.foissy.free.fr/pageperso/p11.pdf 6, 17, 19

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.904958Z

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Observation ce0eb6e8-adc0-4377-b5f3-816c1bd100ee · outbound

This paper cites Foissy, Les alg `ebres de Hopf des arbres enracin ´es d ´ecor´es.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Foissy, Les alg `ebres de Hopf des arbres enracin ´es d ´ecor´es

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.892757Z

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Observation b9150f9e-9c06-4bc5-bf1d-2df7d6576faf · outbound

This paper cites Foissy, Algebraic structures on typed decorated rooted trees, SIGMA 17 (2021), 086, 28 pages.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Foissy, Algebraic structures on typed decorated rooted trees, SIGMA 17 (2021), 086, 28 pages

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.876681Z

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Observation 707c3379-4147-4c4c-b8fa-fb553478b483 · outbound

This paper cites Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T17:06:40.376313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a34110ef-a507-44c5-a63a-786dfd8a9b46 · outbound

This paper cites Grossman and R.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Grossman and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.863071Z

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Observation 815dc93d-54c7-4cbb-a3bf-d1670d301ac7 · outbound

This paper cites Grossman and R.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Grossman and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.849179Z

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Observation 8ae8505f-2546-4223-8d40-fc6f253e0b76 · outbound

This paper cites Guo, Operated semigroups, Motzkin paths and rooted trees, J.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Guo, Operated semigroups, Motzkin paths and rooted trees, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.836474Z

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Observation 1ec9e1f2-d0dc-4666-976e-ecf077b11132 · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.822894Z

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Observation b7edef94-4624-459e-9ed2-816252f9accb · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.811378Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c787733-0a4e-4b39-bbe0-1bf9e9cf49c0 · outbound

This paper cites Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, J.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.800153Z

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Observation c0f9d783-8f00-44d8-93bb-d3c472aaf94a · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.786817Z

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Observation 3ae64d0d-c96c-4086-8ee9-f761976484dc · outbound

This paper cites Holtkamp, Comparison of Hopf algebras on trees, Arch.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Holtkamp, Comparison of Hopf algebras on trees, Arch

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.772624Z

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Observation 29947fb1-cd0b-436d-bb02-e61092d73865 · outbound

This paper cites Kock, Categorification of Hopf algebras of rooted trees, Cent.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Kock, Categorification of Hopf algebras of rooted trees, Cent

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.759115Z

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Observation 710e4e96-12ed-44a6-9731-ed374ad2be3e · outbound

This paper cites Kreimer, On the Hopf algebra structure of perturbative quantum field theories, Adv.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Kreimer, On the Hopf algebra structure of perturbative quantum field theories, Adv

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.746754Z

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Observation 803b2f40-f066-44df-9dbc-0349218e3b51 · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.734860Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00bad6d5-be06-4367-8d59-b91fa5143cbb · outbound

This paper cites Laan and I.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Laan and I

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.722147Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7eecbdfd-83d2-41c5-ae81-4a88e3b37dc1 · outbound

This paper cites Lundervold, H.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Lundervold, H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.709767Z

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Observation 52e8d131-3f9f-45d2-8491-b71d44996756 · outbound

This paper cites Loday, Cyclic Homology, Springer-Verlag, Berlin, 1992.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Loday, Cyclic Homology, Springer-Verlag, Berlin, 1992

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.696973Z

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Observation c71addc7-db6a-46f2-a388-c3c958bcc5f2 · outbound

This paper cites Loday and M.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Loday and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.687395Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 662524d8-dc85-49e8-89c2-af94bba21444 · outbound

This paper cites Murua, The Hopf algebra of rooted trees, free Lie algebras, and Lie series, Found Comput Math 6, (2006) 387-426.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Murua, The Hopf algebra of rooted trees, free Lie algebras, and Lie series, Found Comput Math 6, (2006) 387-426

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.676535Z

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Observation bd18a579-86c1-4ea1-b825-66192917d69f · outbound

This paper cites Old and New Minimalism: a Hopf algebra comparison.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Old and New Minimalism: a Hopf algebra comparison

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:06:40.507082Z

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Observation 10a81c14-9c2a-4bee-a999-dcf82d8c3914 · outbound

This paper cites Marcolli, R.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Marcolli, R

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.665987Z

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Observation 1661386b-f5e9-4cac-b653-01f87b1e9fd6 · outbound

This paper cites Moerdijk, On the Connes-Kreimer construction of Hopf algebras, Contemp.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Moerdijk, On the Connes-Kreimer construction of Hopf algebras, Contemp

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.655811Z

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Observation 3ac94c7c-2607-49a0-bea4-8bf51ab1fb73 · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.644577Z

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Observation 5a15e3e2-147a-4610-b18b-896756d06b34 · outbound

This paper cites an unresolved cited work.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:06:40.633342Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f92006a1-3108-4b8b-bbc8-cc5f8ba47850 · outbound

This paper cites Takeuchi, Free Hopf algebras generated by coalgebras, J.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Takeuchi, Free Hopf algebras generated by coalgebras, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.621471Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e80a06ac-99e7-48a2-baa5-a06ad71df213 · outbound

This paper cites Vinberg, The theory of homogeneous convex cones, Transl.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Vinberg, The theory of homogeneous convex cones, Transl

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.610765Z

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Observation 23a820e4-f30e-43b4-a7db-86c257d21486 · outbound

This paper cites Zhang, X.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Zhang, X

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.598871Z

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Observation cfd322b5-a804-46c9-b495-4464e78951ad · outbound

This paper cites Zhang, A.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Zhang, A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.584589Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ac6abf7a-fdd2-43f2-8188-641774a41d3e · outbound

This paper cites Algebraic Combin.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Algebraic Combin

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.571025Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 870b81f0-4c8b-4da0-a787-94a4a8630ff7 · outbound

This paper cites Zhang, D.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Zhang, D

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.558700Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2d17baa-272d-4598-8ff5-3a14cebedcc0 · outbound

This paper cites Zhang, X Gao and L Guo, Hopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gr¨obner-Shirshov bases, Pacific J.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Zhang, X Gao and L Guo, Hopf algebra of multidecorated rooted forests, free matching Rota-Baxter algebras and Gr¨obner-Shirshov bases, Pacific J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.546619Z

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Observation 10e25ac4-2f74-45a0-a8cc-87f0ca7c4d69 · outbound

This paper cites Zheng, Y.

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach Zheng, Y

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:06:40.533657Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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