Paper Citation Record · LEDGER

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.31735.

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

pith.paper-citation-record.v1
2606.31735 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T02:49:58.162643Z

measured 28 of 28 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

verified exact4
verified fuzzy15
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a8bb4aa-f820-48e7-87bb-24fcb0d96eb3 · outbound

This paper cites Aguiar, Infinitesimal Hopf algebras, Contemp.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Aguiar, Infinitesimal Hopf algebras, Contemp

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.912012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0fe142d0-fec5-486f-bbbf-e1f1ebca4842 · outbound

This paper cites Aguiar, Pre-Poisson algebras, Lett.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Aguiar, Pre-Poisson algebras, Lett

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.914982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 78b746c2-aee4-4a30-9827-f0d1b5bdb4f8 · outbound

This paper cites Aguiar, J.-L.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Aguiar, J.-L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.851218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9e8b205-fe2d-4cca-9634-eab81949c8fc · outbound

This paper cites Bai, Left-symmetric bialgebras and an analogue of the classical Yang-Baxter equation, Commun.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Bai, Left-symmetric bialgebras and an analogue of the classical Yang-Baxter equation, Commun

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.888715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 232fd3cb-72c9-4ab4-91cd-3b338eaca93f · outbound

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

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Bai, Double constructions of Frobenius algebras, Connes cocycles and their duality, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.848101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9cc5840a-4d5d-47be-addb-b62ad6032ba6 · outbound

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

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Baxter, An analytic problem whose solution follows from a simple algebraic identity, Pacific J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.885080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation edaf25d1-a3e1-43c8-98d3-cdc9ae73d6a9 · outbound

This paper cites Chapoton, M.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Chapoton, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.891619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d1f2b935-4f8f-4e4c-b4c2-6da3f6d588b8 · outbound

This paper cites Chari, A.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Chari, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.894385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3eabd8ac-d47a-4923-b85a-283f8c5a72f0 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.903664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 783902ce-2972-41c7-badf-378e41fbabf0 · outbound

This paper cites Das, Pre-Leibniz algebras, Commun.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Das, Pre-Leibniz algebras, Commun

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.897065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3604d810-3648-4fb8-817b-849c8111fc80 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.900703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bc6f9571-12d7-444b-bf79-0c96ff4c6d09 · outbound

This paper cites Ebrahimi-Fard, Loday-type algebras and the Rota-Baxter relation, Lett.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Ebrahimi-Fard, Loday-type algebras and the Rota-Baxter relation, Lett

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.876326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9c4687a-1478-43d0-8bce-a4e1e7fd8af6 · outbound

This paper cites Ginzburg, M.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Ginzburg, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.853850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f300901c-6383-4d80-bd93-21382b11c539 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.856566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f3288ef6-f52a-4763-b43f-a076061967a2 · outbound

This paper cites Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-07-01T12:05:43.292353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 21f3e9f3-2310-44db-9ea8-724e79173a24 · outbound

This paper cites Kac, Vertex Algebras for Beginners, 2nd Edition, Amer.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Kac, Vertex Algebras for Beginners, 2nd Edition, Amer

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.859223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5ff2fecc-e5d3-4839-88b7-d98aed8b5e23 · outbound

This paper cites Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:05:43.295596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 187e97e1-10e1-4d88-ae8d-4a11efcfd154 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.863328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4cd43ee7-0820-41a7-b563-6ada63347a1d · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.881816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3336286b-8911-4088-b202-5eb0073f0212 · outbound

This paper cites Loday, Dialgebras, In: Dialgebras and Related Operads, in: Lecture Notes in Math., vol.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Loday, Dialgebras, In: Dialgebras and Related Operads, in: Lecture Notes in Math., vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.872738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 563c5023-52a1-4b30-aed2-826b9cc99eaa · outbound

This paper cites Loday, B.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Loday, B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.909024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 942a12fa-13c4-47de-ad28-959a1399a1e5 · outbound

This paper cites On quadri-bialgebras.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras On quadri-bialgebras

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:05:43.298747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 16941dd4-66b0-41db-9ddc-ac70e7b3901e · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:05:43.289809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04a9ceb8-c4fe-4c01-b213-437912022cf3 · outbound

This paper cites Takeuchi, Topological coalgebras, J.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Takeuchi, Topological coalgebras, J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T03:13:15.868883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8a3c93fe-e172-4e65-97d5-93be149ce48c · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.844903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 677298e0-5189-43b9-993a-9dd1ca4f4266 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.906251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 628e6628-5224-44bf-aa28-785063243907 · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.879017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8bda157e-5d22-4acf-a2f4-e637ea5b6b0b · outbound

This paper cites an unresolved cited work.

Infinite-dimensional pre-Lie bialgebras induced from Leibniz-dendriform bialgebras and Zinbiel-dendriform bialgebras Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-07T03:13:15.866251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.