Paper Citation Record · LEDGER

Compatibility axioms for left-regular bands to construct Hopf algebras

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.12204.

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

pith.paper-citation-record.v1
2411.12204 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:57:36.542752Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact9
verified fuzzy2
unresolved6
parse uncertain0
malformed identifier5
metadata mismatch0

External citation measurements

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Outbound references

Observation fd7a1abb-f989-4c70-b1c3-ef97ffc437a4 · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T17:57:37.058403Z

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 a5a48d39-5b84-4d4a-9f4f-4333638b08b2 · outbound

This paper cites Bergeron, C.

Compatibility axioms for left-regular bands to construct Hopf algebras Bergeron, C

Reference 2

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T17:57:36.741122Z

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 98f03d44-4afc-45a6-a5ae-a944ad61da21 · outbound

This paper cites Bergeron and M.

Compatibility axioms for left-regular bands to construct Hopf algebras Bergeron and M

Reference 3

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.728306Z

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

Observation b3b945d0-9c17-4965-8e30-7e4e82028e6e · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T17:57:36.472187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2547a2a4-d912-43da-ba4d-e5c5f78682a4 · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T17:57:36.476206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b3ffc73-5ecb-4180-8af4-40a385222828 · outbound

This paper cites Gebhard and Bruce E.

Compatibility axioms for left-regular bands to construct Hopf algebras Gebhard and Bruce E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T17:57:36.480121Z

Source-reported events for the cited work

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Observation c32f03c1-eeae-48e0-b102-edd27e3929e0 · outbound

This paper cites Louis-Pasteur Strasbourg, Stras bourg, 1976), Springer, Berlin, 1977, pp.

Compatibility axioms for left-regular bands to construct Hopf algebras Louis-Pasteur Strasbourg, Stras bourg, 1976), Springer, Berlin, 1977, pp

Reference 7

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.708087Z

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 3ff8e345-8dd1-415e-a3ee-0874b5c0fb18 · outbound

This paper cites Noncommutative symmetric functions.

Compatibility axioms for left-regular bands to construct Hopf algebras Noncommutative symmetric functions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T17:57:36.488267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e41523cf-13ee-4552-858d-9b915ada947d · outbound

This paper cites Gessel, Multipartite P -partitions and inner products of skew Schur functions , Combinatorics and algebra (Boulder, Colo., 1983), Amer.

Compatibility axioms for left-regular bands to construct Hopf algebras Gessel, Multipartite P -partitions and inner products of skew Schur functions , Combinatorics and algebra (Boulder, Colo., 1983), Amer

Reference 9

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.683714Z

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

Observation 6b40bd9f-f3b0-4275-a1b1-603709541e46 · outbound

This paper cites thesis, Université de Marne-la-Vallée, 1999.

Compatibility axioms for left-regular bands to construct Hopf algebras thesis, Université de Marne-la-Vallée, 1999

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:57:37.045146Z

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 4a09e7c4-fa25-4de5-a7f0-3191494e1a6a · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-12T17:57:36.499999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cb932a7-119b-4c80-ab91-2f6574f7b923 · outbound

This paper cites Algebra 177 (1995), no.

Compatibility axioms for left-regular bands to construct Hopf algebras Algebra 177 (1995), no

Reference 12

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.664095Z

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

Observation f19648f7-77a7-418a-b05b-b454346d02df · outbound

This paper cites 82, Publis hed for the Conference Board of the Mathematical Sciences, Washington , DC, 1993.

Compatibility axioms for left-regular bands to construct Hopf algebras 82, Publis hed for the Conference Board of the Mathematical Sciences, Washington , DC, 1993

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T17:57:36.508173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99ab172b-bc54-497f-b2b7-55fcbc6fc03a · outbound

This paper cites Construction of dendriform trialgebras.

Compatibility axioms for left-regular bands to construct Hopf algebras Construction of dendriform trialgebras

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-12T17:57:36.643195Z

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

Observation 3d8bea9d-a57b-413c-8742-7e82b38e8d0c · outbound

This paper cites Palacios, M.

Compatibility axioms for left-regular bands to construct Hopf algebras Palacios, M

Reference 15

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.624520Z

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 58e8acdb-7ed4-4aad-bfbd-cb7ebee41bf7 · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.611551Z

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 bc72a5f8-8f41-4c7c-b5b4-9d80d41606c9 · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.598942Z

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

Observation 31e4c9c3-24b1-4f81-9c5d-8853226b6f18 · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:57:37.032695Z

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 c0887fcd-237b-4c75-bc73-91349795d281 · outbound

This paper cites Sweedler, Hopf algebras, Mathematics Lecture Note Series, W.

Compatibility axioms for left-regular bands to construct Hopf algebras Sweedler, Hopf algebras, Mathematics Lecture Note Series, W

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:57:37.019424Z

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 7b0a64e3-7248-43b5-b023-accaad3d7e4b · outbound

This paper cites an unresolved cited work.

Compatibility axioms for left-regular bands to construct Hopf algebras Unresolved cited work

Reference 20

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T17:57:36.899792Z

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 6b06ad35-4a7f-4ec2-aa04-76d17851979d · outbound

This paper cites Rosas and Bruce E.

Compatibility axioms for left-regular bands to construct Hopf algebras Rosas and Bruce E

Reference 21

Resolution: verified exact; doi, observed 2026-08-12T17:57:36.586154Z

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 797b74d6-91a8-4957-88d5-7bb85d1bdb23 · outbound

This paper cites Wolf, Symmetric functions of non-commutative elements , Duke Math.

Compatibility axioms for left-regular bands to construct Hopf algebras Wolf, Symmetric functions of non-commutative elements , Duke Math

Reference 22

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T17:57:36.572937Z

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

Pith citing papers

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