Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:59:42.155148Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T14:59:42.155148Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T18:38:51.083887Z
A source-named dated measurement, never combined with another source.
Source: cited_works
64 of 64 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1788bfd9-40d6-4b1e-bcfa-bfc957326be1 · outbound
Averaging operators on groups and Hopf algebras Aguiar, Pre-Poisson algebras, Lett
Reference 1
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 87a4b752-8a67-4994-a9f9-00cfe4f60224 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 2
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 a2593a7c-b0b0-44e0-b0d2-ee17b13d64e3 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 3
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 bf9e2bd8-590f-42e8-a547-d741cc6cc284 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 4
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 549790a0-c047-484f-bcf3-18ced1da6b66 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 5
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 b42b87a5-6817-4758-86eb-ac4a45639c2f · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 6
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 fb2344c7-99f5-4582-a600-44a0c0676aad · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 7
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 caf83929-b998-43e5-9e2a-938a7e3c63f3 · outbound
Averaging operators on groups and Hopf algebras Baxter, An analytic problem whose solution follows fr om a simple algebraic identity, Pacific J
Reference 8
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 5dbb5941-ecd9-4c4c-8a21-6d7ee29dd684 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 9
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 9591cca6-c801-4e40-90c8-5013ca14784b · outbound
Averaging operators on groups and Hopf algebras Bourbaki, Elements of Mathematics: Algebra I, Chapt er 1-3, Hermann, 1974
Reference 10
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 47d96fa1-33f9-4844-841e-458b001eedfe · outbound
Averaging operators on groups and Hopf algebras Brainerd, On the structure of averaging operators, J
Reference 11
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 cb0c6088-5579-4cf7-b839-eda692736124 · outbound
Averaging operators on groups and Hopf algebras Carin˜ ena, J
Reference 12
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 1afa71d5-7c32-46b0-bdbf-62912c29600a · outbound
Averaging operators on groups and Hopf algebras Caranti and L
Reference 13
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 255e2f5e-31f7-4ceb-9019-08d03fb0a0d1 · outbound
Reference 14
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 56a1b8fd-5913-4906-ab8c-cb25b2e66c34 · outbound
Reference 15
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 df1c0300-3529-43ec-89e6-089a69bb7e8f · outbound
Averaging operators on groups and Hopf algebras Connes and D
Reference 16
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 f291dc4f-485d-4ff5-929a-c3c63ff59d05 · outbound
Averaging operators on groups and Hopf algebras Das, Deformations of associative Rota-Baxter opera tors, J
Reference 17
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 cef774a2-892b-4ba9-bf6f-476fe76cc35b · outbound
Averaging operators on groups and Hopf algebras Averaging operators on groups, racks and Leibniz algebras
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 684be473-71cf-4142-befa-cd6eebfdb7d4 · outbound
Reference 19
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 1411cac6-6628-41c3-a630-0d2efe3879ac · outbound
Reference 20
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 869adc2c-6858-406a-bca3-c1a117abbc45 · outbound
Averaging operators on groups and Hopf algebras Rota-Baxter groups with weight zero and integration on topological groups
Reference 21
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 3468a58a-93b9-486a-af57-989d3fa247c6 · outbound
Averaging operators on groups and Hopf algebras Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras
Reference 22
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 300cbd23-7315-4adc-94d7-e685232ca4d7 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 23
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 613abd1e-2fc1-45bf-9063-ea24ec111c46 · outbound
Reference 24
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 6b79fc68-181c-43b1-a1a5-236e154ccd2e · outbound
Averaging operators on groups and Hopf algebras Goncharov, Rota-Baxter operators on cocommutative Hopf algebras, J
Reference 25
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 804bc4fa-1758-475d-b4c0-303f1544529b · outbound
Averaging operators on groups and Hopf algebras Gubarev, Universal enveloping associative Rota-Ba xter algebras of preassociative and postassociative alge- bra, J
Reference 26
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 ef577544-0f86-4767-9714-7ac741337921 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 27
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 b9b42900-8670-494c-9bd8-08db1583c94e · outbound
Averaging operators on groups and Hopf algebras Guo, Operated semigroup, Motzkin paths and rooted tr ee, J
Reference 28
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 f3019cad-9705-46c9-9138-403531b79524 · outbound
Averaging operators on groups and Hopf algebras Guo, An introduction to Rota-Baxter Algebras, Surve ys of Modern Mathematics 4
Reference 29
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 a3018b54-1e9a-47cf-8f2f-728a248abae1 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 30
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 f463ee8e-6ab2-4112-8d21-99f388bf63cf · outbound
Reference 31
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 d72c4f26-a2c5-4e0e-9c51-77dd7bf62da0 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 32
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 7379005d-747c-471f-b4de-77f74fa8e537 · outbound
Reference 33
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 959fbccb-2d4c-4357-8366-ac9b6c656751 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 34
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 40de2b5e-ac47-4cb8-b22a-56543dc1c6c2 · outbound
Reference 35
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 3ba3e551-cce5-4ded-94c3-348b39558027 · outbound
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
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 13147326-ba34-47ab-a0ce-571937290109 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 37
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 ce2d7caf-415b-459d-b1f9-ba587bf21391 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 38
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 51867ca5-8a9a-45d9-948d-04066b64f9d2 · outbound
Averaging operators on groups and Hopf algebras Kolesnikov and V .Y u
Reference 39
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 727bb7fa-c32c-493a-a431-d2a74fa870a7 · outbound
Averaging operators on groups and Hopf algebras Kotov and T
Reference 40
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 b0dcd83d-4180-4ef5-b70a-df2a037b07c7 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 41
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 14f21874-13e5-493d-bddd-dcfe331acf0f · outbound
Reference 42
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 a08cbcc8-d22f-4edb-9243-ef43ccbc8b18 · outbound
Averaging operators on groups and Hopf algebras Loday, Dialgebras, in Dialgebras and related ope rads, Lecture Notes in Math
Reference 43
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 6b084aa7-6faf-4a4f-891e-5f4ed0213957 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 44
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 ec5c9401-0c74-4dc4-8b68-90cb3384783c · outbound
Averaging operators on groups and Hopf algebras Mackenzie, General Theories of Lie Groupoids and Lie Algebroids, Cambridge University Press, 2005
Reference 45
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 656078c8-577c-4e79-a077-75de3f4ba792 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 46
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 9d19abd4-08b6-4471-b115-831c4de645e4 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 47
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 db9aa491-43ee-4040-a2ed-37831abc397d · outbound
Averaging operators on groups and Hopf algebras Nicolai and H
Reference 48
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 fc24d467-a5df-4c2e-abee-884ba3ed370c · outbound
Averaging operators on groups and Hopf algebras Nijenhuis, Xn−1-forming sets of eigenvectors
Reference 49
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 df792be0-ca26-42fc-adc0-b34de774e6fd · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 50
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 df862c26-c7bd-4d79-bf6f-337eccc9ebf1 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 51
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 43277315-8d37-45cb-af50-a0e59beb23ea · outbound
Averaging operators on groups and Hopf algebras van der Put and M
Reference 52
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 39764d11-77dd-4db6-a484-4f058e42c78e · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 53
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 3165b73f-df99-4666-a75b-4d11cc2a94a6 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 54
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 b13c8f84-aca4-4053-8336-51c0ec633f34 · outbound
Averaging operators on groups and Hopf algebras Reynolds, On the dynamic theory of incompressible vi scous fluids, Phil
Reference 55
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 940e3df6-43b2-43f1-93fe-67854d4813df · outbound
Averaging operators on groups and Hopf algebras Rota, Baxter algebras and combinatorial identit ies, I, II, Bull
Reference 56
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 5d52d158-449f-494a-a192-ada1aa3bff67 · outbound
Averaging operators on groups and Hopf algebras Rota, Baxter operators, an introduction, in: J.P .S
Reference 57
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 d0b3c1fb-65bb-4898-9b80-7bb7895511d0 · outbound
Averaging operators on groups and Hopf algebras Unresolved cited work
Reference 58
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 60a09344-dfeb-468a-bc33-5a4006d78b5f · outbound
Averaging operators on groups and Hopf algebras Serre, Galois Cohomology, Springer, 1997
Reference 59
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 b870c086-37dc-4dcc-91c3-a8bd5d23ce59 · outbound
Reference 60
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 4d546368-8706-4e43-a17a-bfe9d438ded4 · outbound
Reference 61
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 ee8d5a08-cab9-4ef4-9bdb-c76ffd3eee10 · outbound
Reference 62
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 2d43d5c7-2e24-4856-8644-ffdd759f7bbe · outbound
Reference 63
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 22e3d72b-29cf-4b7d-b7ff-92e3484eb5aa · outbound
Reference 64
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 496674f1-4f13-4930-8060-7ba2feb3afc9 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.