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

Resolution
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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=sha256:44a2e646787a55a4717dee074def1ee4b7c13cd59ed47ba8c81a11077315ecac

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

Resolution
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raw_fallback, observed 2026-08-11T14:59:43.133080Z

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=2026-08-11T14:59:41.943647Z digest=sha256:3146cb48879f458cba433e08fb046c333f39c79b11e25b2c489d3022fed2558c

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:b511f0cc62df3aed26aed70d256881d0149e5ccb637908541bc8194ac453f396

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=sha256:97643ce160203b458534f6b38eb2c31f50dd5ce45207fae26778d1618aa50871

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

Resolution
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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=sha256:87c1fd00d788137c420cd8f25319f4ad1eec2e2a624faaa670170c96b22cb039

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
unresolved
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=sha256:7084cf621b3b275a183cf44cd7488424d2c9c796f3ac80a21f647a9a77944827

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
unresolved
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=sha256:52d047275b952f0546973f98af8e4dd4a197edb40482447b3b4dabf75ac93fb4

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

Resolution
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=sha256:4deacba38b8e6ff2201899c48f0efcd17d8c49a959b52ca0518acd22f591f9a8

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

Resolution
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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:b670c944d9ea67ea52eb13f5a41c687e3e070f03d8bfbbf40474279246b09543

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

Resolution
verified fuzzy
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:fe2f5c4a19b2036c87453b4a0ed035ba4ab292eab440cfe69bb10644806badbe

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

Resolution
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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:ce06c5c4759f74ca9c0d4cccbb85634e77878ab2c3caa8367b329d35f34344ce

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=sha256:4773f9bcfb53852fda95ea3e445573f1701601c6bd50970da1b53e0b449f1a8c

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:e67e0ca9fa0d0a9913abd49b80c03738a5d1e9a65d0441b7ef92d5e32a50342c

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=sha256:4c6a4f3829d46bc193261505ac2de915df9a0f22334f8f8c7b3227868ceb1058

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
verified fuzzy
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:b1a9e3e9903b3cf6feb38b475b0cd27dadf69858ea7896580b6208d327a7bdf1

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
verified fuzzy
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=sha256:515cde9d8e41c4a6d5556b34a7e7e42348bf1e4bd82cd03fac52322c24d840dc

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=sha256:0c2eadeeab16a2c816297229bfef198b7fa06ecd16c73e55157e2637cea555b9

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:eed513885a0367ca6617c51358501e913cb8440a876c7868a6f06abe5e8ac877

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

This paper cites Etingof, T.

Averaging operators on groups and Hopf algebras Etingof, T

Reference 19

Resolution
verified fuzzy
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:a8113e77dc3224856e046c24a75cb0cd6362943104e2d5b80bb0ea2f2a7090d6

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=sha256:2aad71f449232ee2b8b10d1a8ef0fe975e01d7e852fd1e80b62be1492d771c54

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:a40a9fddb4724ee38b27f5950a09ae3d7485146dba71e3da79a1603f6ae8e31f

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=sha256:5af30267d57d1502d29d6782239824e23d1e4984c20a1099bb60ce104a940f23

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
unresolved
raw_fallback, observed 2026-08-11T14:59:42.952047Z

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:ed11c121993bd14abae05b5fe240fd9e1a048aa284c25d4a010f69c003aadd1e

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=sha256:393ca1c678069b4241dbf3a0e23eb13516c79a5cb3180c2d9264144c69093cf8

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

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=2026-08-11T14:59:42.020846Z digest=sha256:f0230fc9d66d18c62bc72a6153a50a445bdc85c79c1b302fdd86d282b39a79c1

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:d1366ed4fa15c3d8318a370b5c2e72cbee06648e0dc4f9d002421c347acefd8c

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

Resolution
unresolved
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:d7cd44fc38cd90c0e94911d887bc9066b33635cc0ee6ea535be6260cf4226720

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:aa4ac88222c2fbf594ea4eb6e90f62648eb98cfe75016af9b858bfe4b3061ec2

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
verified fuzzy
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:a4ed48f8151aa895275c67350e1441f85f893c0aea3bea401fe86c186c59c915

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=sha256:53f563e4206797543b82ce53789806f3a63a0ff2c23576e747fe53a48e1e8aff

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=sha256:8f18e2cdc5ae37a16d58d133f147c66f25a5f7b1a2c37a117672949d879e4d7b

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:c46f6863648688edeef11a8e5ed6b5bda887dbed1d2590985a47a7a45904a0d5

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=sha256:6f22ac03985078ac763dbc127e57194051133bb44f3fc17ac859b5c8580db4a2

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=sha256:350d673ac294622eb55ffdf745fac83b866d59aed7561d5e9f4243c280195d69

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=sha256:5967e2c3b5df8993f3e72f8c7a4ae118d02c7206cd4d0d59bcad1a6abecec3f0

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=sha256:414d68bb9a1d5d9670c9a57e9c0b339b723ea0472a95907bce0e7e7985d5707e

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=sha256:1bf87de19521f2bfed638b875dbd6dbf691fe2732eefcc80fe3decec8afb0eca

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:e05e5c8178044df4b6c88ad234ffe7bc4b55652cb9434d327b5c21bd8b2943de

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=sha256:35d91f88d73e8e17c46bcf5ecf10d06a856da16bacd482e67666588ccda49c62

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:af8e24ec3a55de1271601d52482ee71c9568944ccf5d52a65c54338158134072

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:ee45f93bfead71c772a6face8b2f171f7daa18a2418415233862e7568a90ab99

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=sha256:539b05409adf943653c76bf78cb6a3e892ae439619b73fd5936f905da16b6a68

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:a83133bdaa9e2179178945b22f189221c7ad79bb7f8b7ff0251b3b26b2e41b88

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=sha256:2ab8cbc6c46a7d61094f85ea494c36c6291ce8e0b0c26860eaa9106a00ebabeb

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=sha256:36c6701108e10db7bd405043db5d576c85be1871db94c21b716d83c3dde23679

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=sha256:6475aebc9636b58d821e067f07ba6869c040348baec8afd7f260d018106e50d4

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=sha256:549625bb6c11f3823d3a2164f3ae7be30b4a1bc81166d3af35227a79cb7657fd

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=sha256:9804f2490fc394006206fc2f085b265f9c481b396a1d015b2dc8041d7770a5c6

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=sha256:321a337b127c94f12c11d4aab08b67abb0f176dd2ff0dab3b0a0817f2fc368db

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=sha256:05944bf68092039f121690af4f4c1fb56aeb60616af6f85020244d31466f4df8

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:cb219f085737d79178d5ec3cb0e2d6c11b8b5f7640321af1c43ce9754887109e

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:c5b2cc1b69b3cbd584a8dd1ad2ac1cdca27ccfda4d650d1e78d13c80c20f1260

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:d6d22cb67711212777d4380bdd281ef2c9d93f1c6bbd067a34a7d04ec1ede9c2

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=sha256:53a3ba0fce63ead8e5f49a3edee3e67ad9227327252940d2112dd751938e34b7

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=sha256:9f70c5a51bc03c07c61060f99c7a0d15c30b3df81f28c338d83832d7fab86957

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=sha256:645ff1a072318b736445a5b847e9a74517d06df9f94495dc4e36062c96d32078

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=sha256:89ea1fdcc2f61b8e0cfbf88e3286c12b4589d0dc8589b439872a5f94a7cf440a

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=sha256:0b58c20dcf1ef83e0f8d206a356fb040e48bd740c9d42dd745b9cba8985a1071

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=sha256:3cce67b66be034021c05c5f695a6e34fa7c3ed498d90f7cf3c8262c1b17b08bb

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=sha256:6adf98ef90c913237d646269ddf3f91d230cdec6e7da10baf60e99cd774bf175

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=sha256:04bb38398e4d361129ff45ac6764c2f87b15c50f7b18094d04750be6eda11164

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=sha256:047453fd0c9084837f08302d6bc5a1b5b08bb46fdccf58804ec546efdcf99446

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=sha256:4c68d2000ea3c7d969da94a65cea43cfc60bd1fb4bdd47d9ba0c3feae6860c4e

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:bde319e733e522fa9eab91151b454d5efb02634fca7a5bde1071f808a9073719

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:beb428904428bf51b1364203cca256ee930884256156f0042d35dd5502f6cc7a