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Paper Citation Record · LEDGER

Quasi-triangular and factorizable dendriform D-bialgebras

As of 7 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2507.02249.

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

pith.paper-citation-record.v1
2507.02249 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:46:03.044045Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:28:30.609864Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T00:07:28.351545Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy23
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f4257427-0531-4dac-b984-bae507fef15e · outbound

This paper cites Aguiar, Pre-Poisson algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Aguiar, Pre-Poisson algebras

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.553797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.783317Z digest=sha256:f66b1b8ce617bb6127fb593f89f307ce9f1b8eea47c62490acc17ce4c9da79be

Observation c76676b5-4c2a-4c6f-84d4-bbc9c3572fa6 · outbound

This paper cites Hopf Algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Hopf Algebras

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.538227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.788422Z digest=sha256:1557753221c5fecadacbe5ea0458696c9acf28e9dec7b59a47e4625267d39ff2

Observation 97052188-292a-4d91-9754-1385630775a0 · outbound

This paper cites Bai, Double constructions of Frobenius algebras, Connes cocycles and their duality.

Quasi-triangular and factorizable dendriform D-bialgebras Bai, Double constructions of Frobenius algebras, Connes cocycles and their duality

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.522263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.793015Z digest=sha256:98f62ad9cce5a25141ac36245a7a16da0f9305c9eb77dd2cb499e891dfa517dc

Observation 3f52d4f4-9bcc-4410-8b15-3c6083d06674 · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.505937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.797445Z digest=sha256:f389b14dda810329e4e9d628c3ebf4e61924a276c3beed6e7fb8c0635fed1e91

Observation a120d19d-22ec-47d2-9a7f-bac62df8c620 · outbound

This paper cites Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:46:03.086826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.802313Z digest=sha256:8f06a4fefe7685f221a11b1b54fbc660bab5afdc952b2084e8fa6b1bfd037031

Observation 2214de00-72dd-42cc-88f6-ec72c9428b2d · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.490630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.807008Z digest=sha256:3af914c3012f4a1d2249bdd8764726a5d3cef2277fd7d233cd6c7e06faf820ed

Observation 12391cf4-7aea-47ca-a5e0-b3d8a380ba5c · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.475664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.811921Z digest=sha256:f82f2b018dee9dcb2c40eb6f62db8332e20039d16ec85b2053b71dd4ff0ff55b

Observation f13b98a9-fa9e-4803-aa49-ca5c3b15210e · outbound

This paper cites Baxter, An analytic problem whose solution follows from a simple algebraic identity.

Quasi-triangular and factorizable dendriform D-bialgebras Baxter, An analytic problem whose solution follows from a simple algebraic identity

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.460433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.817852Z digest=sha256:9e07a686e41c216c3c7d46acbe87ae3b9d7e029bb1637227ecbdf2d36eedc93c

Observation 571bac3e-249a-4b28-b0ec-9347ad1124cc · outbound

This paper cites Brzezinski, Rota-Baxter systems, dendriform algebras and covariant bialgebras.

Quasi-triangular and factorizable dendriform D-bialgebras Brzezinski, Rota-Baxter systems, dendriform algebras and covariant bialgebras

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.445361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.822106Z digest=sha256:26b82ec4948ccf39cfd7c9370b3b5ed854c5ae24695d5ce31c6f1839bf5f6b59

Observation b89873f9-a9a7-4cf5-acaf-55073b175a30 · outbound

This paper cites Connes, Non-commutative di fferential geometry.

Quasi-triangular and factorizable dendriform D-bialgebras Connes, Non-commutative di fferential geometry

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.429746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.826680Z digest=sha256:c9c2bbc719376c1b502eba89ffe4734f067035854d4dfb13a66b9fe704c6d1ed

Observation 532552f3-8078-4823-bb25-2ffbeb8b5c5e · outbound

This paper cites Connes and D.

Quasi-triangular and factorizable dendriform D-bialgebras Connes and D

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.415464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.832743Z digest=sha256:9d5071e5983c21502563eb36a474b3d7e3c87907bd7a40e57352e005737f92d3

Observation b71aa1e5-d795-4c8a-bf21-75d463b866f6 · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.400710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.837186Z digest=sha256:ff3827fba4619704df27ae72ca24dcf56f024eae055a64d6bce4da72bd4565e4

Observation a57a95ce-f0fc-42ac-90c4-10842103d601 · outbound

This paper cites Ebrahimi-Fard, D.

Quasi-triangular and factorizable dendriform D-bialgebras Ebrahimi-Fard, D

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.385276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.841869Z digest=sha256:5e724838ef545795b30e6a7205cef8c187751ec27e4c75f324ac33b9e00768d2

Observation 176d3642-e953-4bac-846f-08ffbb42c6fc · outbound

This paper cites Foissy, Bidendriform bialgebras, trees, and free quasi-symmetric functions.

Quasi-triangular and factorizable dendriform D-bialgebras Foissy, Bidendriform bialgebras, trees, and free quasi-symmetric functions

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.370898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.845961Z digest=sha256:de40d55b84a3b95a458fc552ffed2ebdbcf7e19065787cea7f861b65aa4f2e3f

Observation 234380a6-0001-45f6-bfaa-d878a6ddf1d9 · outbound

This paper cites Frabetti, Dialgebra homology of associative algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Frabetti, Dialgebra homology of associative algebras

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.356204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.850440Z digest=sha256:814545b69f8bf05df4b58ca3bc53849cd01c4d05c3605c23039e9589b65736ea

Observation 6c5c3a31-6254-44e5-a822-6621a20bca58 · outbound

This paper cites Frabetti, Leibniz homology of dialgebras of matrices, J.

Quasi-triangular and factorizable dendriform D-bialgebras Frabetti, Leibniz homology of dialgebras of matrices, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.342384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.855587Z digest=sha256:bd3e9526f14fc1264f90733c69b5b7d1116eecfb754b917cbcd525dd6b32546a

Observation 2c74026e-7bc3-47df-8e9e-ef1b1b2208e1 · outbound

This paper cites Guo, An introduction to Rota-Baxter algebra.

Quasi-triangular and factorizable dendriform D-bialgebras Guo, An introduction to Rota-Baxter algebra

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.327481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.860023Z digest=sha256:2852b9edde2cecbab91d874e0c2136868782f969371334cced261a0bc114a106

Observation 47e90ae5-07d8-4fc9-bd3c-74933057b63c · outbound

This paper cites Guo and W.

Quasi-triangular and factorizable dendriform D-bialgebras Guo and W

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.312854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.864112Z digest=sha256:e6255db29228b6cd36be84a548d4451cfc9923f2e3fa97463fceeac75b6ffc30

Observation 379baa8e-d0ad-47c9-a080-58169ea293e4 · outbound

This paper cites Holtkamp, On Hopf algebra structures over free operads.

Quasi-triangular and factorizable dendriform D-bialgebras Holtkamp, On Hopf algebra structures over free operads

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.297862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.868301Z digest=sha256:9e71167a640a3206cd1bee437536d4629614d674fc8a2b0d4677fd68c7787414

Observation e90920ea-9862-48b0-b8a8-fa0c8cd4c29f · outbound

This paper cites Lang and Y.

Quasi-triangular and factorizable dendriform D-bialgebras Lang and Y

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.283177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.872772Z digest=sha256:bbf160a1761b69f4e59464bd786a0dc211b24b841402b1ef60e3f2c48f593832

Observation 09062537-a64e-43c2-8f6b-28b43847b790 · outbound

This paper cites Lazarev, Y.

Quasi-triangular and factorizable dendriform D-bialgebras Lazarev, Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.267500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.988235Z digest=sha256:661b1180e792e1529ee7f3a15a5851e4f4a415bf895518af6caa7f317bd67828

Observation 6c372a2e-318d-4b68-8866-8e84e3090f9e · outbound

This paper cites Loday, Dialgebras.

Quasi-triangular and factorizable dendriform D-bialgebras Loday, Dialgebras

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.253045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.993671Z digest=sha256:04e7e5b383a1d4713c1b8f49430fcaa6fce99fd40533083f6c6a0e545356b15e

Observation 2d368f7d-25bd-4502-8750-f16544c1cff1 · outbound

This paper cites Loday, Arithmetree.

Quasi-triangular and factorizable dendriform D-bialgebras Loday, Arithmetree

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.237856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:02.999268Z digest=sha256:6ed5fff467092cf0fc8085ce9bd6622d8ad0de0216d2c3c6d32eb30bbf87fc3b

Observation b0a74303-43c6-40ac-a974-2dcb844930ac · outbound

This paper cites Loday and M.

Quasi-triangular and factorizable dendriform D-bialgebras Loday and M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.223914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.004687Z digest=sha256:08d4a8acc02b9f9afdbb8f930cf354f8bac666329f958af71101ad77e600706d

Observation f42d5ee1-985c-4f69-8be9-5252f4eab3be · outbound

This paper cites Loday and M.

Quasi-triangular and factorizable dendriform D-bialgebras Loday and M

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.209772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.009412Z digest=sha256:5f018d5a81b9591cfe942a9d02a6a444a8a710c9c569b54e5386263ed60af872

Observation 5a4bd0a3-4e42-4182-b3ff-17fdfcde9510 · outbound

This paper cites Reshetikhin and M.

Quasi-triangular and factorizable dendriform D-bialgebras Reshetikhin and M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.195522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.014012Z digest=sha256:02a3ebde531d57d588ad7da97d0d2a89a5bc4c93cc610939e7da1fba60bcb870

Observation d99e0b51-ba73-47d6-a25e-def2c9bcbebe · outbound

This paper cites Ronco, Eulerian idempotents and Milnor-Moore theorem for certain non-cocommutative Hopf algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Ronco, Eulerian idempotents and Milnor-Moore theorem for certain non-cocommutative Hopf algebras

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.181420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.019342Z digest=sha256:02459f549479d33725c6f44b8f784c5c58c92fa606b7231884a0f2a4597916de

Observation 16667e18-c0cd-498a-8ad0-b348cc7d186c · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.165364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.024296Z digest=sha256:ec60ac35c2ddc4f069a6ff4bef5efd75c6e51e1fe926084969cb573e99d0ff23

Observation c0b3b643-3f64-412a-8c38-548410a8be5a · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.149662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.029014Z digest=sha256:8bd35d0ff6f90df88989060923d0d09673a9250bd7868d311088911c7dc7be5e

Observation c0af1883-037a-4196-98ed-cae34affc7f1 · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.135235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.034249Z digest=sha256:081987284c557d77a8bf7cbd4c4975e63ae10c63cc44419851eb1fbcd49532d1

Observation 6e04266f-fc3c-4fd4-a7a0-9185af50e2c7 · outbound

This paper cites Uchino, Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators.

Quasi-triangular and factorizable dendriform D-bialgebras Uchino, Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:46:03.119155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.039790Z digest=sha256:88e1399ea0d86275e434ec333d4e84f696a900006bd8f4110a5fa13631975495

Observation ebcbd119-e067-437d-a6a2-d676a21f4be1 · outbound

This paper cites an unresolved cited work.

Quasi-triangular and factorizable dendriform D-bialgebras Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:46:03.103655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:46:03.044045Z digest=sha256:7f3b30abcca9b7763f0ee02a49b72030083b924421911429147ae642f70a9bbd

Pith citing papers

Observation def3d22e-d19f-44b4-82c4-24ca20ad3161 · inbound

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras cites this paper.

Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras Quasi-triangular and factorizable dendriform D-bialgebras

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:07:28.353222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T17:28:30.609864Z digest=sha256:0510458230ccbb0a0d60ae286bece64d0eb6c4ea1372777c96312ca23b298890