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Paper Citation Record · LEDGER

Quasi-triangular and factorizable dendriform D-bialgebras

As of 22 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 2026-08-21T06:32:19.484+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
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.783317Z digest=sha256:9acf0d0df12d867994a120b7ca112e4850dafbe230dcf2bc713c63855401843a

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

This paper cites Hopf Algebras.

Quasi-triangular and factorizable dendriform D-bialgebras Hopf Algebras

Reference 2

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.788422Z digest=sha256:ba16fb16c44165cdd02ffc4954bb47dfd0e402a2ada7ff27de78be5a43869a30

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.793015Z digest=sha256:b4f029d68e33252cad983f6b3a31f8e0392ce367c9062953af3159057981dfef

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.797445Z digest=sha256:23d5d48e162e330d42cad7087701e1471df0d5171e3c2fdaf9043c55acb19a5e

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.802313Z digest=sha256:8cbe746f5bf8b1adde5e86b06cba92af3eb162a930e8953d2ddee615b75e293a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.807008Z digest=sha256:43acf7e6722dd7249acecd8f804f8da1be6d70d5d8ba33498014a4c741ecfb92

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
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.811921Z digest=sha256:e564b7c886a12c44cacad82b3032cb25447d3fdca1afe683c608f5e5c7a0becf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.817852Z digest=sha256:de9ff6b861415f59f74a2a375469640e796e783496ae42f67c1e4af2c8271a85

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.822106Z digest=sha256:83abc8dd4834664490edec1f82a12aeca60515b446c8d185d96a99dc954f8cab

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.826680Z digest=sha256:57f99a20efffd1dc82da02446e9c87d0cfd49b6f685fbb26f81a6dab7c290543

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.832743Z digest=sha256:78587cc2ac7ae11d79cf1e06f70f28eda0d5f002fff4828ffec74a68b959b452

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.837186Z digest=sha256:0def5f329f45ae667b324823c85b2d27e9b60d826ebe251e560756695a57a16b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.841869Z digest=sha256:eff43ed855b252ae14fd37328aed2defbdda9204ffc3a78f32f91fee46b5fac9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.845961Z digest=sha256:af53fe46ab65250776d6869ff71b0b2b63336b3191e7f3798d9b5d8ffdfad9a5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.850440Z digest=sha256:c80b7c00d1e9f284e2d30d29d5ff1bf1b56bc3e2413ca3480f6c7332e6897191

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.855587Z digest=sha256:9931bf04dac2a23ce8a01413c49c731856711a2900c45363328973857cc26375

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
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.860023Z digest=sha256:cc6f398827f41ef08ecfb5c0e30dba6f3921894b95c11a42f9b00c4e56590837

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.864112Z digest=sha256:162bdca6c2c66ba1f29623358d1f1835825c37a3f5bfb4a16cd4661bafbb8af4

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
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.868301Z digest=sha256:719464c80ae6dd50dfe4904961ca293cad4e2207ea3ccaf539241dce547070be

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.872772Z digest=sha256:678915cfbd1b318ea59f3bab5ff6e5134e1a6554834125534e8b2c862c21cdaf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.988235Z digest=sha256:c4bb6f4606426253bd067089941dd7698584709dea7e9d4a65ca4b7dcd637abb

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

This paper cites Loday, Dialgebras.

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

Reference 22

Resolution
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.993671Z digest=sha256:54fd53da1a8f969109a2b6e6c8f298eeaee70e17b33ed1ec877657d3da605476

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:02.999268Z digest=sha256:b8aeb1f06ccfd1ca955d6aa00e92ca549750f207aae120efd998ff92a60b7122

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.004687Z digest=sha256:2a3896e9be0b92b3ea6526269bc445114aa661af774d9095de6c4a976929c0f8

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.009412Z digest=sha256:a79e58b9b950b8af63aee8283c6c25619a95a74231da4e13b5a0442e573a3139

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

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

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.014012Z digest=sha256:3990edea175be22252bf9a0acef28a51ff234c28f1492cecfb583c93d4525796

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.019342Z digest=sha256:cfef3d42042be5c5fe74406f3873a494b987c5880d490380ad98534ecfadb670

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.024296Z digest=sha256:f8865733b0320649487f8c774b9575c86565d6d9b0c41fd7454e14d03bee1c10

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
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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.029014Z digest=sha256:d7629d4a34d5d5bb28797494aeb05e731a0c7c1c76908b3eedd16e075f37c208

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.034249Z digest=sha256:a0d907800d9aa3ab953c6d560fd92657bba82e739c3b8892f93087ee701f69fc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.039790Z digest=sha256:e870518e9a4b94524fa1eefefc998f924e17ad8cf4aacf597584027da7499c9f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T20:46:03.044045Z digest=sha256:98a9169aface966f8630cdc34350d759a58c0af8110db4e6482ed062742615c7

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-27T17:28:30.609864Z digest=sha256:1f05701749733cee8717648efaac9fa7eed57f3c4ec7e0b3bb2b3e0d2f26bf94