Pith. sign in

Paper Citation Record · LEDGER

Averaging operators on groups and Hopf algebras

As of 20 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 1 inbound Pith citation observation for arXiv:2412.11600.

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

pith.paper-citation-record.v1
2412.11600 v3

Coverage vector

measured 64 of 64 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:59:42.155148Z

measured 65 of 65 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:38:51.083887Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

64 of 64 outbound references displayed

  • verified exact2
  • verified fuzzy38
  • unresolved24
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1788bfd9-40d6-4b1e-bcfa-bfc957326be1 · outbound

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

Averaging operators on groups and Hopf algebras Aguiar, Pre-Poisson algebras, Lett

Reference 1

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raw_fallback, observed 2026-08-11T14:59:43.142470Z

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.

source=pdf_text observed=2026-08-11T14:59:41.939421Z digest=sha256:46b9c8131b4b1d52059188169a8dda0fd71e4f2c5b7626c95f85d55468516a05

Observation 87a4b752-8a67-4994-a9f9-00cfe4f60224 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 2

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

source=pdf_text observed=2026-08-11T14:59:41.943647Z digest=sha256:06547798e0a6159d1c4cef20b04bedd04de48b482f0ada0b40c41846f6c4b002

Observation a2593a7c-b0b0-44e0-b0d2-ee17b13d64e3 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 3

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.124648Z

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.

source=pdf_text observed=2026-08-11T14:59:41.947330Z digest=sha256:67624f903b432467cd0b130bf548eb713a670aa390426e2279a58e5666381a12

Observation bf9e2bd8-590f-42e8-a547-d741cc6cc284 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 4

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.116263Z

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.

source=pdf_text observed=2026-08-11T14:59:41.951023Z digest=sha256:c7ad44818d985ef3816cc56779c35e395e0e50fe0b3d98a7243208420bc25fa8

Observation 549790a0-c047-484f-bcf3-18ced1da6b66 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 5

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raw_fallback, observed 2026-08-11T14:59:43.107943Z

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.

source=pdf_text observed=2026-08-11T14:59:41.954454Z digest=sha256:bbf9e8ebc468132472ea0fa1f19d8e049c7f51d2f10528d99203f1a2b560f959

Observation b42b87a5-6817-4758-86eb-ac4a45639c2f · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 6

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.098433Z

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.

source=pdf_text observed=2026-08-11T14:59:41.957710Z digest=sha256:eb8bfeb6fb4e4992bd91549e7c85ab1d5e609301c83e51f0a81a6b03714231f4

Observation fb2344c7-99f5-4582-a600-44a0c0676aad · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.088350Z

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.

source=pdf_text observed=2026-08-11T14:59:41.961828Z digest=sha256:6378d3275ec7852eaed76128d0cb5756851e9f8ad14b4d57d7a3a9a993cf35f3

Observation caf83929-b998-43e5-9e2a-938a7e3c63f3 · outbound

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

Averaging operators on groups and Hopf algebras Baxter, An analytic problem whose solution follows fr om a simple algebraic identity, Pacific J

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-11T14:59:43.076735Z

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.

source=pdf_text observed=2026-08-11T14:59:41.964870Z digest=sha256:95c899c91edddb6a62df068368fbcb6542d21a7a2cbfa1d1fb275b094f89eba8

Observation 5dbb5941-ecd9-4c4c-8a21-6d7ee29dd684 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 9

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raw_fallback, observed 2026-08-11T14:59:43.066963Z

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.

source=pdf_text observed=2026-08-11T14:59:41.967895Z digest=sha256:34d4901404c31adb5c9139534b3518f5fb84f2003a576bdd1284c3385c2032f7

Observation 9591cca6-c801-4e40-90c8-5013ca14784b · outbound

This paper cites Bourbaki, Elements of Mathematics: Algebra I, Chapt er 1-3, Hermann, 1974.

Averaging operators on groups and Hopf algebras Bourbaki, Elements of Mathematics: Algebra I, Chapt er 1-3, Hermann, 1974

Reference 10

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raw_fallback, observed 2026-08-11T14:59:43.057237Z

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.

source=pdf_text observed=2026-08-11T14:59:41.970987Z digest=sha256:2ec723fcd7ca7ad701302064fb480dd570c206e8301c0967e9cda6a5f4226025

Observation 47d96fa1-33f9-4844-841e-458b001eedfe · outbound

This paper cites Brainerd, On the structure of averaging operators, J.

Averaging operators on groups and Hopf algebras Brainerd, On the structure of averaging operators, J

Reference 11

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raw_fallback, observed 2026-08-11T14:59:43.047325Z

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.

source=pdf_text observed=2026-08-11T14:59:41.974207Z digest=sha256:8a4a811e1e8155aeef41af8e25dc38c43893aed71f13e031c7f9275140477f1a

Observation cb0c6088-5579-4cf7-b839-eda692736124 · outbound

This paper cites Carin˜ ena, J.

Averaging operators on groups and Hopf algebras Carin˜ ena, J

Reference 12

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raw_fallback, observed 2026-08-11T14:59:43.037153Z

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.

source=pdf_text observed=2026-08-11T14:59:41.977637Z digest=sha256:d8928f7c73209532c247713e38beced55a3b3a87a3b069338a6149583ada67fd

Observation 1afa71d5-7c32-46b0-bdbf-62912c29600a · outbound

This paper cites Caranti and L.

Averaging operators on groups and Hopf algebras Caranti and L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:43.026815Z

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.

source=pdf_text observed=2026-08-11T14:59:41.980813Z digest=sha256:ec0cdf3046045f1a3a60043e21ddf1a056e5dc26528afab4bb8026aaf80d2da9

Observation 255e2f5e-31f7-4ceb-9019-08d03fb0a0d1 · outbound

This paper cites Catino, M.

Averaging operators on groups and Hopf algebras Catino, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:43.015746Z

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.

source=pdf_text observed=2026-08-11T14:59:41.983782Z digest=sha256:8cbdf7ed3815b9e8d7ea851b90622f546d2530667bb2a7e72f5dc24a57aed7a1

Observation 56a1b8fd-5913-4906-ab8c-cb25b2e66c34 · outbound

This paper cites Ced´ o, E.

Averaging operators on groups and Hopf algebras Ced´ o, E

Reference 15

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.004781Z

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.

source=pdf_text observed=2026-08-11T14:59:41.986437Z digest=sha256:5f56e6312d5258076b2e262cb15abe99fbe4990963eb0b425f889ab4d6c7660b

Observation df1c0300-3529-43ec-89e6-089a69bb7e8f · outbound

This paper cites Connes and D.

Averaging operators on groups and Hopf algebras Connes and D

Reference 16

Resolution
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raw_fallback, observed 2026-08-11T14:59:42.994479Z

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.

source=pdf_text observed=2026-08-11T14:59:41.989195Z digest=sha256:49fc0c59224d10ea079c08e7df7cb8c1c77e336afb36dce86ee1d94e06eda061

Observation f291dc4f-485d-4ff5-929a-c3c63ff59d05 · outbound

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

Averaging operators on groups and Hopf algebras Das, Deformations of associative Rota-Baxter opera tors, J

Reference 17

Resolution
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raw_fallback, observed 2026-08-11T14:59:42.984538Z

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.

source=pdf_text observed=2026-08-11T14:59:41.991973Z digest=sha256:86273b32aa3fa7087163867ca862080a5081575147ba92e82d741a679a8efdcc

Observation cef774a2-892b-4ba9-bf6f-476fe76cc35b · outbound

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

Averaging operators on groups and Hopf algebras Averaging operators on groups, racks and Leibniz algebras

Reference 18

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no resolver link, observed 2026-08-11T14:59:41.994630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:59:41.994630Z digest=sha256:58546fb1c47db8ae5291747f2e8b09bec2930866538476725750f3155ff518ce

Observation 684be473-71cf-4142-befa-cd6eebfdb7d4 · outbound

This paper cites Etingof, T.

Averaging operators on groups and Hopf algebras Etingof, T

Reference 19

Resolution
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raw_fallback, observed 2026-08-11T14:59:42.974456Z

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.

source=pdf_text observed=2026-08-11T14:59:41.999272Z digest=sha256:b864719ed90dc2b2da23273db6e5804d6a42b1dd969de0cc867b18cf54590dd2

Observation 1411cac6-6628-41c3-a630-0d2efe3879ac · outbound

This paper cites Gao and L.

Averaging operators on groups and Hopf algebras Gao and L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.963311Z

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.

source=pdf_text observed=2026-08-11T14:59:42.003376Z digest=sha256:217c35eff139677a2d0dea7b710d273ae923d41c265a928fd0da3a0872eeb859

Observation 869adc2c-6858-406a-bca3-c1a117abbc45 · outbound

This paper cites Rota-Baxter groups with weight zero and integration on topological groups.

Averaging operators on groups and Hopf algebras Rota-Baxter groups with weight zero and integration on topological groups

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:59:42.211240Z

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.

source=pdf_text observed=2026-08-11T14:59:42.007333Z digest=sha256:62b13420831bbf4e8b4afe66a11c9d4876cdad71e7cf22254cd0c9e48086c422

Observation 3468a58a-93b9-486a-af57-989d3fa247c6 · outbound

This paper cites Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras.

Averaging operators on groups and Hopf algebras Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:59:42.194881Z

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.

source=pdf_text observed=2026-08-11T14:59:42.011162Z digest=sha256:af59fbe6cfc7e7d02804425f835e6e7869c21d873f31f35cc86ede8790db1656

Observation 300cbd23-7315-4adc-94d7-e685232ca4d7 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 23

Resolution
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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.

source=pdf_text observed=2026-08-11T14:59:42.015007Z digest=sha256:ad13536d45f747499b37c267e9e0cec11545ee5a45dc9f510f1ebbb9ab62e984

Observation 613abd1e-2fc1-45bf-9063-ea24ec111c46 · outbound

This paper cites Gao and L.

Averaging operators on groups and Hopf algebras Gao and L

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.942726Z

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.

source=pdf_text observed=2026-08-11T14:59:42.017834Z digest=sha256:3f6f2bcd48691044c3cdbedcd55e61564633d6da2bf5f477b791afcc0084400f

Observation 6b79fc68-181c-43b1-a1a5-236e154ccd2e · outbound

This paper cites Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, J.

Averaging operators on groups and Hopf algebras Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.933059Z

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

source=pdf_text observed=2026-08-11T14:59:42.020846Z digest=sha256:c857e89395486faca7df6dfe1a5ae778f26917a55a99a61f7859db17424f4515

Observation 804bc4fa-1758-475d-b4c0-303f1544529b · outbound

This paper cites Gubarev, Universal enveloping associative Rota-Ba xter algebras of preassociative and postassociative alge- bra, J.

Averaging operators on groups and Hopf algebras Gubarev, Universal enveloping associative Rota-Ba xter algebras of preassociative and postassociative alge- bra, J

Reference 26

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raw_fallback, observed 2026-08-11T14:59:42.923053Z

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.

source=pdf_text observed=2026-08-11T14:59:42.024172Z digest=sha256:72341d3c42e32805c26b48f004dae5c21b768111e6717a98f09ef7be6b31af47

Observation ef577544-0f86-4767-9714-7ac741337921 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 27

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raw_fallback, observed 2026-08-11T14:59:42.913837Z

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.

source=pdf_text observed=2026-08-11T14:59:42.026912Z digest=sha256:5ad8e15c702b89f04f7063c321890fdb0f6473e0182ddbaae60a10ba84a8fae1

Observation b9b42900-8670-494c-9bd8-08db1583c94e · outbound

This paper cites Guo, Operated semigroup, Motzkin paths and rooted tr ee, J.

Averaging operators on groups and Hopf algebras Guo, Operated semigroup, Motzkin paths and rooted tr ee, J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.904947Z

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.

source=pdf_text observed=2026-08-11T14:59:42.029921Z digest=sha256:a7cf07a327669fb899175aecfcd0e1fa68e17a383eaaad627c77659954e0e3cc

Observation f3019cad-9705-46c9-9138-403531b79524 · outbound

This paper cites Guo, An introduction to Rota-Baxter Algebras, Surve ys of Modern Mathematics 4.

Averaging operators on groups and Hopf algebras Guo, An introduction to Rota-Baxter Algebras, Surve ys of Modern Mathematics 4

Reference 29

Resolution
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raw_fallback, observed 2026-08-11T14:59:42.895223Z

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.

source=pdf_text observed=2026-08-11T14:59:42.034118Z digest=sha256:836efe128bfd651f02e445f22f21b047e8b133a99799fbb553cf6b2ac250578b

Observation a3018b54-1e9a-47cf-8f2f-728a248abae1 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.885746Z

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.

source=pdf_text observed=2026-08-11T14:59:42.037144Z digest=sha256:40e7ed098da3d5e0d1f0742ec6a9e751da624a0de4ccf70aadbe8ed6bffbb78e

Observation f463ee8e-6ab2-4112-8d21-99f388bf63cf · outbound

This paper cites Guo and W.

Averaging operators on groups and Hopf algebras Guo and W

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.876271Z

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.

source=pdf_text observed=2026-08-11T14:59:42.040516Z digest=sha256:ff15cab290603136501981a03c1b8fa6a363bbf246e34d41647f7827eab660e3

Observation d72c4f26-a2c5-4e0e-9c51-77dd7bf62da0 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.865336Z

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.

source=pdf_text observed=2026-08-11T14:59:42.043427Z digest=sha256:d34826c0e1b9af827c2cf3d8659c3023837fc60d61b49601beae3f76b420c974

Observation 7379005d-747c-471f-b4de-77f74fa8e537 · outbound

This paper cites Guo and J.

Averaging operators on groups and Hopf algebras Guo and J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.855503Z

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.

source=pdf_text observed=2026-08-11T14:59:42.046291Z digest=sha256:12e9d57a6d8a700463edb767550c435265e0d611ab12003f83c41c679708ecaf

Observation 959fbccb-2d4c-4357-8366-ac9b6c656751 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.827640Z

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.

source=pdf_text observed=2026-08-11T14:59:42.049339Z digest=sha256:9265c12991a42cdf5db5e92b7af2b6d7a03820285c8b5f2924dc1d969e198d42

Observation 40de2b5e-ac47-4cb8-b22a-56543dc1c6c2 · outbound

This paper cites Jiang, Y.

Averaging operators on groups and Hopf algebras Jiang, Y

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.799979Z

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.

source=pdf_text observed=2026-08-11T14:59:42.052393Z digest=sha256:3750f1bf545808bd886d9f883ecc2edb8844e938d48776f7f2a78c520d86fea2

Observation 3ba3e551-cce5-4ded-94c3-348b39558027 · outbound

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

Averaging operators on groups and Hopf algebras Kamp´ ede F´ eriet, L’etat actuel du probl´ eme de la turbulaence (I and II), La Sci

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.778972Z

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.

source=pdf_text observed=2026-08-11T14:59:42.055979Z digest=sha256:20b8e405ad2ca9edd3fb320deec40c03fc5c94359fedde7779e0e78f63a12856

Observation 13147326-ba34-47ab-a0ce-571937290109 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.769016Z

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.

source=pdf_text observed=2026-08-11T14:59:42.059710Z digest=sha256:49f83a66d2570684d9b2e4b5f865905d9511a0a66e23e3457f44923f303ad448

Observation ce2d7caf-415b-459d-b1f9-ba587bf21391 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.759132Z

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.

source=pdf_text observed=2026-08-11T14:59:42.062857Z digest=sha256:654cb5cca081507b840e3bba6374316ed080626fe47e789c2d289dd9a9d3c16b

Observation 51867ca5-8a9a-45d9-948d-04066b64f9d2 · outbound

This paper cites Kolesnikov and V .Y u.

Averaging operators on groups and Hopf algebras Kolesnikov and V .Y u

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.747518Z

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.

source=pdf_text observed=2026-08-11T14:59:42.065789Z digest=sha256:caed40c7fac0ad7123e3fa1e91c70f86b1be8260be0bcbc9aad5031c3828ad34

Observation 727bb7fa-c32c-493a-a431-d2a74fa870a7 · outbound

This paper cites Kotov and T.

Averaging operators on groups and Hopf algebras Kotov and T

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.737151Z

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.

source=pdf_text observed=2026-08-11T14:59:42.070035Z digest=sha256:27c2b7d80ddef078c136e6417372260c24c1caca656ca379d1e470dbc048a2ca

Observation b0dcd83d-4180-4ef5-b70a-df2a037b07c7 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.727524Z

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.

source=pdf_text observed=2026-08-11T14:59:42.073439Z digest=sha256:3de803fcf70cc26b5c73c2c5e6914a27da601d2d5e89beee5df96cf2e95cee0c

Observation 14f21874-13e5-493d-bddd-dcfe331acf0f · outbound

This paper cites Lang and Y.

Averaging operators on groups and Hopf algebras Lang and Y

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.717147Z

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.

source=pdf_text observed=2026-08-11T14:59:42.076929Z digest=sha256:2838f80241539c4e21860fcf595546d5f91d711601d33654f77348b203d6c55d

Observation a08cbcc8-d22f-4edb-9243-ef43ccbc8b18 · outbound

This paper cites Loday, Dialgebras, in Dialgebras and related ope rads, Lecture Notes in Math.

Averaging operators on groups and Hopf algebras Loday, Dialgebras, in Dialgebras and related ope rads, Lecture Notes in Math

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.707316Z

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.

source=pdf_text observed=2026-08-11T14:59:42.080350Z digest=sha256:e71306d25bc3115d13b54b6b742925bb18fdd52e9291700beb4d072df41ab363

Observation 6b084aa7-6faf-4a4f-891e-5f4ed0213957 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.696550Z

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.

source=pdf_text observed=2026-08-11T14:59:42.083940Z digest=sha256:45645d661459c4b6f6a86ba96bfe6803145c1c0b8ae3dc2f79edd853994f35a5

Observation ec5c9401-0c74-4dc4-8b68-90cb3384783c · outbound

This paper cites Mackenzie, General Theories of Lie Groupoids and Lie Algebroids, Cambridge University Press, 2005.

Averaging operators on groups and Hopf algebras Mackenzie, General Theories of Lie Groupoids and Lie Algebroids, Cambridge University Press, 2005

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.686327Z

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.

source=pdf_text observed=2026-08-11T14:59:42.087395Z digest=sha256:8c2faf776fce5511da7202f443a5ccab25cfc0063ba5facb592583ad0eb4e988

Observation 656078c8-577c-4e79-a077-75de3f4ba792 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.676365Z

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.

source=pdf_text observed=2026-08-11T14:59:42.090985Z digest=sha256:f0be4208cc028cfca8db49799d5bc4aeddeb315a2c1d2cf82404fc28aad0f561

Observation 9d19abd4-08b6-4471-b115-831c4de645e4 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.666723Z

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.

source=pdf_text observed=2026-08-11T14:59:42.094976Z digest=sha256:5519692817cf459c9a3ee3205a6ff227268d80717b230b27e0e5e9a10bbcc57e

Observation db9aa491-43ee-4040-a2ed-37831abc397d · outbound

This paper cites Nicolai and H.

Averaging operators on groups and Hopf algebras Nicolai and H

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.656646Z

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.

source=pdf_text observed=2026-08-11T14:59:42.098544Z digest=sha256:9479c220a780bf6ce2ee532bc8d447757fbc21812bc33a722e453d358b4d07a4

Observation fc24d467-a5df-4c2e-abee-884ba3ed370c · outbound

This paper cites Nijenhuis, Xn−1-forming sets of eigenvectors.

Averaging operators on groups and Hopf algebras Nijenhuis, Xn−1-forming sets of eigenvectors

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.646098Z

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.

source=pdf_text observed=2026-08-11T14:59:42.101630Z digest=sha256:c19a8c73040425f324fb16cf91e8d5b9b9525222842ed4a70284c3d2a6ce0221

Observation df792be0-ca26-42fc-adc0-b34de774e6fd · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.635953Z

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.

source=pdf_text observed=2026-08-11T14:59:42.105242Z digest=sha256:f8cbbf0c930c9c4b49533945e44fb0c69dce49408ddd0907ed74c0deacac56ec

Observation df862c26-c7bd-4d79-bf6f-337eccc9ebf1 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.625904Z

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.

source=pdf_text observed=2026-08-11T14:59:42.108775Z digest=sha256:943b66b6bdbfa22e1e9f14aa3a630dfc3644b1fb01ab120bb75d9cfc0b546fba

Observation 43277315-8d37-45cb-af50-a0e59beb23ea · outbound

This paper cites van der Put and M.

Averaging operators on groups and Hopf algebras van der Put and M

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.607544Z

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.

source=pdf_text observed=2026-08-11T14:59:42.113419Z digest=sha256:05711f2dbcc416ebe2842be2c227857d0e2be58bec6ae0c3871ce93c450c81e2

Observation 39764d11-77dd-4db6-a484-4f058e42c78e · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.519097Z

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.

source=pdf_text observed=2026-08-11T14:59:42.116581Z digest=sha256:a3fed5d5b61ce3e15ba562ddd90dc3523a08d1d8a659360f6fcff031abb60da7

Observation 3165b73f-df99-4666-a75b-4d11cc2a94a6 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.507284Z

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.

source=pdf_text observed=2026-08-11T14:59:42.119512Z digest=sha256:2910bda7e4b5596f83d0a1fe55dd5a9e82b55458a8a7a1ad1fa00c7c72754261

Observation b13c8f84-aca4-4053-8336-51c0ec633f34 · outbound

This paper cites Reynolds, On the dynamic theory of incompressible vi scous fluids, Phil.

Averaging operators on groups and Hopf algebras Reynolds, On the dynamic theory of incompressible vi scous fluids, Phil

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.494250Z

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.

source=pdf_text observed=2026-08-11T14:59:42.124730Z digest=sha256:c829b9f3397909a50f5b22b38f3be0098a778c2a66369d7e1b1190019e7913d3

Observation 940e3df6-43b2-43f1-93fe-67854d4813df · outbound

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

Averaging operators on groups and Hopf algebras Rota, Baxter algebras and combinatorial identit ies, I, II, Bull

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.484083Z

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.

source=pdf_text observed=2026-08-11T14:59:42.128311Z digest=sha256:4a7940a5ae8e4a26ab2b5b89006fe1740b1667365eaeaf63b596aba1b45033fe

Observation 5d52d158-449f-494a-a192-ada1aa3bff67 · outbound

This paper cites Rota, Baxter operators, an introduction, in: J.P .S.

Averaging operators on groups and Hopf algebras Rota, Baxter operators, an introduction, in: J.P .S

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.473100Z

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.

source=pdf_text observed=2026-08-11T14:59:42.131240Z digest=sha256:ab5edfeca1e1798e6feadad6fe8581b1254ad950a878f7689db3213bb67a1812

Observation d0b3c1fb-65bb-4898-9b80-7bb7895511d0 · outbound

This paper cites an unresolved cited work.

Averaging operators on groups and Hopf algebras Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:59:42.435170Z

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.

source=pdf_text observed=2026-08-11T14:59:42.134140Z digest=sha256:1271bdd33a77a7e3077c9f6add7a4ef2481a0bb91a81d67acf145f11d8d00772

Observation 60a09344-dfeb-468a-bc33-5a4006d78b5f · outbound

This paper cites Serre, Galois Cohomology, Springer, 1997.

Averaging operators on groups and Hopf algebras Serre, Galois Cohomology, Springer, 1997

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.377714Z

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.

source=pdf_text observed=2026-08-11T14:59:42.137786Z digest=sha256:9e4bf54f0dadb0423b1cab772664df191d6839cebd2a8714d70b4997df5e8f17

Observation b870c086-37dc-4dcc-91c3-a8bd5d23ce59 · outbound

This paper cites Zhang, X.

Averaging operators on groups and Hopf algebras Zhang, X

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.341902Z

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.

source=pdf_text observed=2026-08-11T14:59:42.140803Z digest=sha256:93decfd293262fd5349f2e4dcc5c74f1ad24006960212545fb80e7317054b312

Observation 4d546368-8706-4e43-a17a-bfe9d438ded4 · outbound

This paper cites Zhang, X.

Averaging operators on groups and Hopf algebras Zhang, X

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.329418Z

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.

source=pdf_text observed=2026-08-11T14:59:42.143899Z digest=sha256:f3744d5b456a046a22f02addf84ca313c1964f4fe5ddf27a615f4aef50d1d6cb

Observation ee8d5a08-cab9-4ef4-9bdb-c76ffd3eee10 · outbound

This paper cites Zhang, X.

Averaging operators on groups and Hopf algebras Zhang, X

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.317518Z

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.

source=pdf_text observed=2026-08-11T14:59:42.147617Z digest=sha256:cb4c4d109a7abab7070ae36c681bde2f2a9da6545e57351629c4079e84275e4b

Observation 2d43d5c7-2e24-4856-8644-ffdd759f7bbe · outbound

This paper cites Zhang, X.

Averaging operators on groups and Hopf algebras Zhang, X

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.305590Z

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.

source=pdf_text observed=2026-08-11T14:59:42.151445Z digest=sha256:b02c4528aa8848ce1b7d2aa4754bd0cc6a48103679d35f641c7a51a5a849921f

Observation 22e3d72b-29cf-4b7d-b7ff-92e3484eb5aa · outbound

This paper cites Zhang, X.

Averaging operators on groups and Hopf algebras Zhang, X

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:59:42.293623Z

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.

source=pdf_text observed=2026-08-11T14:59:42.155148Z digest=sha256:d7807d5d633140e5a9160c6fda9c04fb2679201f9afa5b35feaba00918ec4cde

Pith citing papers

Observation 496674f1-4f13-4930-8060-7ba2feb3afc9 · inbound

Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras cites this paper.

Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras Averaging operators on groups and Hopf algebras

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-04T18:38:51.083887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:38:51.083887Z digest=sha256:8e37482db33204a5755b974a81310f1270143a27f5b12c12a46559ccae6d46ea