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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:ec3bd5428f5ebda16f2009ed18eaa303365b2048d671fb497acb570a311162f1

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:df07cd90d695e21219ec95d006fc4b05e8d18a35648f7556a1bd84d509835869

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=sha256:5b0230cb25209b2fa4ff43570d89b48a1467f19ce7914f9fd72b7e3c425073b0

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=sha256:0be7d1f8864a5a1ebb16be9c10c869a376705a57e30454408b6abe1eee2703c1

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=sha256:1a84eaa886d8529cdc23d0013e39cbd1deac6528d87b929d22ac0469ce425276

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=sha256:06cb9b86554c1fd9cbe2a0d05703630dec6b483266be0d3fcc427ac70d67cd3b

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:cdffc1e91fc5fe53f6a25495ce354f6c36f0f5d07e9409e753bf80bb13314f9c

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=sha256:6adf6de93051f029fad97c9fcc115beb2aa4e5e0cfc9e120aab24d300e37bc15

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=sha256:9cf398e46ba9412c4d06004d43a815f777a61ee06da778e084a2a7331ef33fc9

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=sha256:5d431d1044e4a7c19d394e4a81b032255a13089265c576c60271feb759369faa

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=sha256:3780692fe06381bdaaf6ee7f57ec7f03e9b36dc0d154f0deadf0134378a15436

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=sha256:7fe63e81026271498a323c89121f72d68b6b1e131f393af03bec1eed45b9cb6b

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:b045e464828ad2fc208bad6140cfa406f1de4463b0d7323c92a0a244fbbc18c6

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:d833d1b4de1541b15fd63879f3c47e9505078c3e25ca446556c05f0b96c04901

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:ee1ce80f3e9bd22d965c69ffaf424d79da71a4e21927c51ab9d42bfa70dc58ab

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:f78097d8344336c28ff3e5c3c9ea056f139f553673c4f9bd48d0347886cbebdb

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=sha256:0a84a24d485cedcbc3ea907eab7aa5bfffb6c73623cbc724ee9236b4288e4004

Pith citing papers

No inbound Pith citation observations are available.