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Paper Citation Record · LEDGER

Extended Shuffle Product for Multiple Zeta Values

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.08536.

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

pith.paper-citation-record.v1
2411.08536 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:44:41.281864Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c295ece5-6719-4ead-982e-44cb777191b4 · outbound

This paper cites Akiyama, S.

Extended Shuffle Product for Multiple Zeta Values Akiyama, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.575353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.207059Z digest=sha256:fd284a8fdb087bf949b6975f88a081a52eedc0960caa8c2a8cf98b0e189e8dea

Observation a365e7a3-7589-4d3b-8cf5-1ee0f98b0484 · outbound

This paper cites Brown, Mixed Tate motives over Z, Ann.

Extended Shuffle Product for Multiple Zeta Values Brown, Mixed Tate motives over Z, Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.559927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.212529Z digest=sha256:90fead118a1cb1edce467d75d59228ba41c2a6d8fd2a095fbeed1cad6797d8ca

Observation fe3c7f82-7d59-4051-b792-0673b1e85839 · outbound

This paper cites Clavier, L.

Extended Shuffle Product for Multiple Zeta Values Clavier, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.544182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.217205Z digest=sha256:b9f27f1fabdff9ad7f5fba5fde4ca47c1775fc3a636ea15e137a51e20232105b

Observation c0538ed2-cd67-47ea-afbe-731907af8d1d · outbound

This paper cites Clavier, L.

Extended Shuffle Product for Multiple Zeta Values Clavier, L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.527249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.222012Z digest=sha256:5c92e055ed76e93ba7f664d2f712f12ebed169766d0631267ca534bc846f282a

Observation 5bd54887-ec2d-4721-ad25-43f2be18889c · outbound

This paper cites Guo, An introduction to Rota-Baxter algebra, International Press, 2012.

Extended Shuffle Product for Multiple Zeta Values Guo, An introduction to Rota-Baxter algebra, International Press, 2012

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.510066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.227058Z digest=sha256:a9b9b0b7e2a4da77506fb2487a5db1724228af19a6c1da2a4c604934bdd15ce0

Observation d6aafb76-4155-4c85-92a7-f5229645ed6a · outbound

This paper cites Hopf algebras for the shuffle algebra and fractions from multiple zeta values.

Extended Shuffle Product for Multiple Zeta Values Hopf algebras for the shuffle algebra and fractions from multiple zeta values

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-12T21:44:41.326209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.232038Z digest=sha256:da6999ce0ebafec5201ed15aa93672a104332f1b363eb511453ac66d03d56dda

Observation 3088d21a-82e7-46a8-b765-23ebfd4bd046 · outbound

This paper cites an unresolved cited work.

Extended Shuffle Product for Multiple Zeta Values Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T21:44:41.495018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.237567Z digest=sha256:7e5bee9e8003684ac78622c9ec102d434e411b720bff9b07e8280e1d95c5406c

Observation 8bce8ccb-4820-4ccd-91ca-9b7f74a40ce2 · outbound

This paper cites an unresolved cited work.

Extended Shuffle Product for Multiple Zeta Values Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T21:44:41.480134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.241746Z digest=sha256:e80ca76e462792e29d1d8cc4c7efb97adb4f703ac69c983d9c173a274b186507

Observation e98baba8-70e4-4dc2-b919-0c0e12ec3555 · outbound

This paper cites an unresolved cited work.

Extended Shuffle Product for Multiple Zeta Values Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T21:44:41.465903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.246278Z digest=sha256:ea557829086c027f8ad8ef8088bc6571fa07624f12b044763849cc59bb95cb6d

Observation 09500d6c-c108-45dd-bfdb-223f8617cbf2 · outbound

This paper cites an unresolved cited work.

Extended Shuffle Product for Multiple Zeta Values Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T21:44:41.451898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.250734Z digest=sha256:8e842f3ea1d1ad8be6da90861014d018dce4310e2c740f32bd3fa3a8ca2cc6ac

Observation 06f0e7ba-1e6f-41aa-b4b2-bca0d543e5df · outbound

This paper cites Guo and B.

Extended Shuffle Product for Multiple Zeta Values Guo and B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.436947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.255250Z digest=sha256:eade6cd6fc230e3bdb135162ef8e0961191a28dc443a77f96499b18781d65811

Observation 26bf7e5d-4ba0-4261-b6ca-1244daae4de4 · outbound

This paper cites Guo and B.

Extended Shuffle Product for Multiple Zeta Values Guo and B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.421978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.259790Z digest=sha256:e30e64ee706e8fbb6029af41df7fb4f63dc1c96a1f2633747674224cd6b77682

Observation 996bb61e-d206-4e6b-803f-645fb0d00e93 · outbound

This paper cites an unresolved cited work.

Extended Shuffle Product for Multiple Zeta Values Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T21:44:41.405832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.264460Z digest=sha256:f822ee2726d44ebff338016e27c6beff649719d00d4406256535a4b37e75d00b

Observation 97c9de65-1a98-4443-95ac-7840495a8cd0 · outbound

This paper cites Ihara, M.

Extended Shuffle Product for Multiple Zeta Values Ihara, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.389938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.268906Z digest=sha256:7ec73e4d49fa786d92ea8a6528f09efc4149d85a9a48e513f73ebf66f4072f62

Observation 96abc8da-5cb6-49a4-9ca0-76b2bcbbe8df · outbound

This paper cites First European Congress of Mathematics, V ol. II.

Extended Shuffle Product for Multiple Zeta Values First European Congress of Mathematics, V ol. II

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.374568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.273214Z digest=sha256:3a3c99bdb3514453aa188f6e324ef34262fb23a77d1fd7961deaedbab54249cf

Observation 811e5aec-b818-4a02-9ef5-42e7086161af · outbound

This paper cites Zagier, Evaluation of the multiple zeta values ζ(2,..., 2, 3, 2,..., 2), Ann.

Extended Shuffle Product for Multiple Zeta Values Zagier, Evaluation of the multiple zeta values ζ(2,..., 2, 3, 2,..., 2), Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.358198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.277565Z digest=sha256:5c345e2af7d6258f75191f673556b5c012bcc94571091179f365f23ff26ce550

Observation 9327555f-27d0-41d0-8ced-aaa8c41daa0b · outbound

This paper cites Zhao, Analytic continuation of multiple zeta functions, Proc.

Extended Shuffle Product for Multiple Zeta Values Zhao, Analytic continuation of multiple zeta functions, Proc

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:44:41.342278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-12T21:44:41.281864Z digest=sha256:97a17f55b43aeba2d779cbe7e3762c5401bbc4057e0591054f399f8b57d141bc

Pith citing papers

No inbound Pith citation observations are available.