Paper Citation Record · LEDGER

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors

As of 19 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 2 inbound Pith citation observations for arXiv:2501.07009.

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

pith.paper-citation-record.v1
2501.07009 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:58:47.801479Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:06:40.376313Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T21:26:14.688231Z

Reference resolution

47 of 47 outbound references displayed

verified exact3
verified fuzzy29
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14215c83-9540-4c4f-b752-deb537688fca · outbound

This paper cites Aguiar, On the associative analog of Lie bialgebras, J.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Aguiar, On the associative analog of Lie bialgebras, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.559815Z

Source-reported events for the cited work

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

Observation 32cd2392-b8b1-41d5-8148-0d68bde8b3a2 · outbound

This paper cites Aguiar, Dendriform algebras relative to a semigroup, SIGMA Symmetry Integrability Geom.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Aguiar, Dendriform algebras relative to a semigroup, SIGMA Symmetry Integrability Geom

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.546956Z

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

Observation ec2574f1-41d4-4e17-a971-e5a9fe4f0bcd · outbound

This paper cites Aguiar and S.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Aguiar and S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.534076Z

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Observation 17011e13-906b-49ae-b04b-d2b7b83e8c2b · outbound

This paper cites Aguiar and S.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Aguiar and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.521390Z

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Observation 1d8c1ca7-b703-44b2-ae2e-aa0b6aabdc2b · outbound

This paper cites Aguiar and W.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Aguiar and W

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.508180Z

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

Observation ad70c180-505e-4af3-8481-dbac25f6bb9b · outbound

This paper cites Andrew, L.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Andrew, L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.404568Z

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Observation 58ad46e9-6621-4e38-9719-c321162bb9fe · outbound

This paper cites Auger, G.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Auger, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.390550Z

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Observation a0df30fd-9740-48f9-ab38-7ad956b4ba16 · outbound

This paper cites Bai, A uniﬁed algebraic approach to the classical Y ang -Baxter equations, J.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Bai, A uniﬁed algebraic approach to the classical Y ang -Baxter equations, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.377265Z

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

Observation 7133673f-0d3a-4141-885b-c9a57c6d8bfc · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.363738Z

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Observation 6db9e364-3798-4ccb-a887-dcc81c220f20 · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.350764Z

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

Observation 6833b0c8-b077-4b8d-be48-a5980dda315d · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.337935Z

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Observation 235a1c3a-af2b-45ee-bce4-5a69093c40ad · outbound

This paper cites Baxter, An analytic problem whose solution follows f rom a simple algebraic identity, Paciﬁc J.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Baxter, An analytic problem whose solution follows f rom a simple algebraic identity, Paciﬁc J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.324996Z

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

Observation 9e366cc9-12ca-48ce-904b-ba238f2571ac · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.311916Z

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

Observation 9e1cf2a7-86eb-4a12-8a97-36ee3d03b10d · outbound

This paper cites Bergeron, G.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Bergeron, G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.298790Z

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

Observation a3a8ec29-67f3-4ff9-a8be-8755453961a2 · outbound

This paper cites Bordemann, Generalized Lax pairs, the modiﬁed class ical Y ang-Baxter equation, and aﬃne geometry of Lie groups.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Bordemann, Generalized Lax pairs, the modiﬁed class ical Y ang-Baxter equation, and aﬃne geometry of Lie groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.285798Z

Source-reported events for the cited work

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

Observation d24d7759-8656-4737-9555-e2a7b93af491 · outbound

This paper cites Carlier, Hereditary species as monoidal decomposit ion spaces, comodule bialgebras, and operadic categories, Int.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Carlier, Hereditary species as monoidal decomposit ion spaces, comodule bialgebras, and operadic categories, Int

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.272540Z

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

Observation 92bf061f-17a1-493b-9760-fffff8d389ea · outbound

This paper cites Cartier, On the structure of free Baxter algebras, Adv.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Cartier, On the structure of free Baxter algebras, Adv

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.259743Z

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

Observation 1f562cd3-f506-451e-b1b9-5ab4948120cb · outbound

This paper cites Connes and D.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Connes and D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.246778Z

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Observation fb671d65-fd13-48f0-adfc-d4dd9271c775 · outbound

This paper cites Das, Deformations of associative Rota-Baxter opera tors, J.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Das, Deformations of associative Rota-Baxter opera tors, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.234127Z

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

Observation 1aa58d93-ba70-435c-aca8-27c55b58e28c · outbound

This paper cites Ebrahimi-Fard, L.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Ebrahimi-Fard, L

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.221468Z

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

Observation a63d1ccf-bb24-4ad0-a043-488b8d3e85c4 · outbound

This paper cites Fiore, N.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Fiore, N

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.208969Z

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

Observation df345801-3603-4f82-aac0-aa4f598021de · outbound

This paper cites Twisted bialgebras, cofreeness and cointeraction.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Twisted bialgebras, cofreeness and cointeraction

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:58:47.898035Z

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

Observation ac12a1d2-1728-4195-9cd7-0662e4a06f2c · outbound

This paper cites Integro-differential rings on species and derived structures.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Integro-differential rings on species and derived structures

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:58:47.878267Z

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

Observation 18e1c4ba-1b1c-4709-a783-eec199d586dc · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.195661Z

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

Observation 5a69365c-ef6f-4cab-8727-490bd9f38920 · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.183183Z

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

Observation e117c09a-01bd-49fd-a62a-d7a844846f68 · outbound

This paper cites Goncharov and V.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Goncharov and V

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.170575Z

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

Observation 18025704-8fcd-4aef-807f-fafdf4e9cbfc · outbound

This paper cites Guo, An Introduction to Rota-Baxter Algebra, Intern ational Press, 2012.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Guo, An Introduction to Rota-Baxter Algebra, Intern ational Press, 2012

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.157484Z

Source-reported events for the cited work

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

Observation 6d30214a-c825-453a-a4ca-5a69309eee4d · outbound

This paper cites Generalized Reynolds algebras from Volterra integrals and their free construction by complete shuffle product.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Generalized Reynolds algebras from Volterra integrals and their free construction by complete shuffle product

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:58:47.858145Z

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

Observation a47fab0b-3f5f-47e7-9fea-26fbe092078a · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.144506Z

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

Observation 655e82a9-8b0b-486f-b4e7-bdfd1b276ae5 · outbound

This paper cites Joyal, Une th´ eorie combinatoire des s´ eries formelles, Adv.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Joyal, Une th´ eorie combinatoire des s´ eries formelles, Adv

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.130911Z

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Observation 9acc60b5-1569-440d-a998-8e0ba2f9c206 · outbound

This paper cites Lang and Y.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Lang and Y

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.117616Z

Source-reported events for the cited work

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

Observation 3f293fc2-ea94-4e56-b218-5d292ce2b270 · outbound

This paper cites Marberg, Strong forms of linearization for Hopf mono ids in species, J.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Marberg, Strong forms of linearization for Hopf mono ids in species, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.104546Z

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

Observation 3d168845-24b2-4f6f-aba8-6bfb07a0dcf1 · outbound

This paper cites Marberg, Strong forms of self-duality for Hopf monoi ds in species, Trans.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Marberg, Strong forms of self-duality for Hopf monoi ds in species, Trans

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.090967Z

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

Observation 68effe95-b250-42dd-9382-5d5d169b507c · outbound

This paper cites Maia and M.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Maia and M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.077601Z

Source-reported events for the cited work

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

Observation 6ffdb52d-fbcd-406d-9eb8-ef409a5e1271 · outbound

This paper cites Species-theoretic foundations of perturbative quantum field theory.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Species-theoretic foundations of perturbative quantum field theory

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T20:58:47.750218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44023276-0c9e-4f51-a59d-85319a8c36e8 · outbound

This paper cites Rosenkranz and G.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Rosenkranz and G

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.065040Z

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

Observation 8d3dcea5-4df2-42b7-8960-c33b49115f4f · outbound

This paper cites Rota, Baxter algebras and combinatorial identit ies I, II, Bull.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Rota, Baxter algebras and combinatorial identit ies I, II, Bull

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.051634Z

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

Observation 69872396-1d0e-46de-89a9-f6ce0e3df98a · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.038220Z

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

Observation 40000c4e-6358-47e2-9d81-e01b6096d421 · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:48.024288Z

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

Observation 954a166f-9eee-4e46-9f51-50c5d2b3ffdd · outbound

This paper cites Street, Weighted tensor products of Joyal species, g raphs, and charades, SIGMA 12 (2016), 005, 20 pages.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Street, Weighted tensor products of Joyal species, g raphs, and charades, SIGMA 12 (2016), 005, 20 pages

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:48.011045Z

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

Observation 6ebf2be2-4dc8-41f2-a70e-699bb3551c88 · outbound

This paper cites Tamaroﬀ, The cohomology of coalgebras in species, Comm.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Tamaroﬀ, The cohomology of coalgebras in species, Comm

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:47.997088Z

Source-reported events for the cited work

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

Observation 0cb03b96-189c-4c16-b492-4cbe63fa5770 · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:47.983619Z

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

Observation a002470e-0e7b-48e0-88ba-321028ec3bd9 · outbound

This paper cites Wang and G.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Wang and G

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:58:47.969515Z

Source-reported events for the cited work

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

Observation 63d279ea-1494-461d-acd6-6b527d1fc8d2 · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:47.956119Z

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

Observation f5eea83c-fe6b-4d4e-8ae8-9321458ada4d · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:47.941143Z

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

Observation eeafdc4f-d61d-4e70-bda3-4fd59d31343b · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:47.927027Z

Source-reported events for the cited work

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

Observation bc3ef427-57ad-4705-9c3f-20e8a6fbaa8c · outbound

This paper cites an unresolved cited work.

Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:58:47.912862Z

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

Pith citing papers

Observation 33bb17e3-f272-41c8-85dd-3b8ad037312f · inbound

Integro-differential rings on species and derived structures cites this paper.

Integro-differential rings on species and derived structures Species of Rota-Baxter algebras by rooted trees, twisted bialgebras and Fock functors

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:26:14.694544Z

Source-reported events for the cited work

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

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

Moerdijk Hopf algebras of decorated rooted forests: an operated algebra approach cites this paper.

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

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