Paper Citation Record · LEDGER

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras

As of 20 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.14605.

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

pith.paper-citation-record.v1
2412.14605 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:15:28.081143Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

31 of 31 outbound references displayed

verified exact1
verified fuzzy20
unresolved10
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External citation measurements

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Outbound references

Observation 1252591a-6e8d-4008-bd21-a02c5b0037f3 · outbound

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

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Aguiar, Pre-Poisson algebras, Lett

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.634128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c99a4f45-6f70-429d-9813-196518c249b9 · outbound

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

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Bai, Double constructions of Frobenius algebras, Connes cocycl es and their duality , J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.618596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cc791534-4730-4443-b2ca-cc5d7af9643b · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.601199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6dfd2c4f-6dcc-4a8e-83e4-ad4c6a8f916e · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.585575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b3a949c6-7349-4aab-8d8d-60f1e4ee80cd · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.569351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d15b225c-892f-4433-aa0c-262c8aa4517f · outbound

This paper cites Bong, Some apparent connection between baxter and averaging operators, J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Bong, Some apparent connection between baxter and averaging operators, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.553608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2bb4275c-ea53-4b9a-8120-d73250517e1b · outbound

This paper cites Cao, An algebraic study of averaging operators , Ph.D.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Cao, An algebraic study of averaging operators , Ph.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.536665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6f397f39-ab1e-4e9b-99f3-8ac10b0b4aae · outbound

This paper cites Chari, A.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Chari, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.519957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6b420487-6bf5-47e1-ab21-33bcfda74442 · outbound

This paper cites Controlling structures, deformations and homotopy theory for averaging algebras.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Controlling structures, deformations and homotopy theory for averaging algebras

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:15:28.164358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e186e8b7-270c-4c29-9b47-6ec5f819b08c · outbound

This paper cites Averaging operators on groups, racks and Leibniz algebras.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Averaging operators on groups, racks and Leibniz algebras

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T12:15:27.977033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f734025-3ab4-40e1-8a13-da50073217d6 · outbound

This paper cites Das, S, Sen, 2-term averaging L∞-algebras and non-abelian extensions of averaging Lie alge bras, J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Das, S, Sen, 2-term averaging L∞-algebras and non-abelian extensions of averaging Lie alge bras, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.501833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2fb2df3-03a7-4e7c-b1a3-cb95a47ae866 · outbound

This paper cites Drinfeld, Hamiltonian structure on the Lie groups, Lie bialgebras and the geometric sense of the classical Y ang-Baxter equations, Soviet Math.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Drinfeld, Hamiltonian structure on the Lie groups, Lie bialgebras and the geometric sense of the classical Y ang-Baxter equations, Soviet Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.485391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b78f3fa-3feb-4a75-a49c-fda786ecf7a4 · outbound

This paper cites Miller, Averaging and Reynolds operators on Banach algebras II.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Miller, Averaging and Reynolds operators on Banach algebras II

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.469976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2ada03d-7c88-4d8e-8aef-975fbc0b3731 · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.453480Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 54e83406-aef2-4ff0-b026-6c9838fd7171 · outbound

This paper cites Guo, An Introduction to Rota-Baxter Algebra , International Press and Higher Education Press (China), 2 012.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Guo, An Introduction to Rota-Baxter Algebra , International Press and Higher Education Press (China), 2 012

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.437505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6962d86b-005f-4b85-97de-f50d7cb0b018 · outbound

This paper cites Hou, Extending structures for perm algebras and perm bialgebras , J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Hou, Extending structures for perm algebras and perm bialgebras , J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.421472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2a96b4e8-7895-4a2d-8dfd-b7c02f8053cd · outbound

This paper cites Kamp´ e de F´ eriet,L’´ etat actuel du probl` eme de la turbulence (I and II) , La Sci.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Kamp´ e de F´ eriet,L’´ etat actuel du probl` eme de la turbulence (I and II) , La Sci

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.400839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 00306963-57a4-4587-97c4-c1a89b2270cd · outbound

This paper cites Kamp´ e de F´ eriet,Introduction to the statistical theory of turbulence, correlation and spectrum, in The Institute of Fluid Dynamics and Applied Mathematics, Lecture Series No.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Kamp´ e de F´ eriet,Introduction to the statistical theory of turbulence, correlation and spectrum, in The Institute of Fluid Dynamics and Applied Mathematics, Lecture Series No

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.383346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4b83569a-1041-4551-b3c3-3a7e9e1d34f2 · outbound

This paper cites Kelley, Averaging operators on C ∞(X), Illinois J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Kelley, Averaging operators on C ∞(X), Illinois J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.364212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 80b435a7-69d2-4e6e-a7a8-956d4bece05b · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.345660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 15eda8fd-2187-43f8-b33d-93178a50e4dc · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.329980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 67955cbc-6f28-44e1-9b23-f8475a2e58ca · outbound

This paper cites Miller, Averaging and Reynolds operators on Banach algebra I, Repre sentation by derivation and an- tiderivations, J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Miller, Averaging and Reynolds operators on Banach algebra I, Repre sentation by derivation and an- tiderivations, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.312632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 116243e0-651f-49b3-8a5e-33b901b4e18a · outbound

This paper cites Moy, Characterizations of conditional expectation as a transfo rmation on function spaces , Paciﬁc J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Moy, Characterizations of conditional expectation as a transfo rmation on function spaces , Paciﬁc J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.295292Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97bb5bc6-9e71-46cf-a2c3-ebd798064c9e · outbound

This paper cites an unresolved cited work.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:15:28.278090Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation edacaaca-7be9-47e3-908d-ab31e0b62181 · outbound

This paper cites Reshetikhin, M.A.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Reshetikhin, M.A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T12:15:28.051468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c2ece25-083e-444a-882e-a50a05f20d95 · outbound

This paper cites Reynolds, On the dynamic theory of incompressible viscous ﬂuids and th e determination of the criterion, Phil.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Reynolds, On the dynamic theory of incompressible viscous ﬂuids and th e determination of the criterion, Phil

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.249970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1cf63f76-d587-43e8-8254-372feb0d1359 · outbound

This paper cites Rota, Reynolds operators, Proceedings of Symposia in Applied Mathematics, V ol.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Rota, Reynolds operators, Proceedings of Symposia in Applied Mathematics, V ol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.233371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 96667973-9a0a-40a8-a881-0f8df036ae52 · outbound

This paper cites Sheng, R.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Sheng, R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.215952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97f996a0-a3b9-4338-b761-6ba6a6d01357 · outbound

This paper cites Sheng, Y.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Sheng, Y

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.198881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f1a3d26b-8ae8-4e7c-99ce-7876d8007ccc · outbound

This paper cites Triki, Extensions of positive projections and averaging operator s, J.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Triki, Extensions of positive projections and averaging operator s, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:15:28.181809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8679cce0-96bb-4a96-9673-63f296305b92 · outbound

This paper cites Cohomology theory of averaging algebras, $L_\infty$-structures and homotopy averaging algebras.

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras Cohomology theory of averaging algebras, $L_\infty$-structures and homotopy averaging algebras

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T12:15:28.081143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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