Paper Citation Record · LEDGER

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2608.12041.

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

pith.paper-citation-record.v1
2608.12041 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:28:30.294506Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

19 of 19 outbound references displayed

verified exact0
verified fuzzy13
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9171bab8-5893-4ba6-813e-d5a69546eab9 · outbound

This paper cites Bachmann, Y.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Bachmann, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.913517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f8321ec8-4df2-4f5a-b556-a59acc560f9e · outbound

This paper cites an unresolved cited work.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:28:30.902201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f75253a5-1bec-4e47-ae76-249e58b250e4 · outbound

This paper cites Brindle, A unified approach to q MZVS , Integers 24 (2024), Paper No.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Brindle, A unified approach to q MZVS , Integers 24 (2024), Paper No

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.891059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e085e9b1-107a-4e72-af0c-e21d04797b11 · outbound

This paper cites Hessami Pilehrood, T.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Hessami Pilehrood, T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.879901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 724a0454-44a9-4d8c-a720-68d0896d147e · outbound

This paper cites Hirose and H.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Hirose and H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.818582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7576e95e-860c-41e7-b4c3-24876593cdef · outbound

This paper cites an unresolved cited work.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:28:30.714829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e67f2ab0-c6bc-4dda-b75f-cfe17fe3c3a8 · outbound

This paper cites Ihara, M.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Ihara, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.702939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89f6e817-d453-4e51-bc27-64a7953d9d92 · outbound

This paper cites Adjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Adjoint cyclotomic multiple zeta values and cyclotomic multiple harmonic values

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T00:28:30.247997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acc1207f-dc3e-4c15-af45-b9626f261986 · outbound

This paper cites Kaneko, An introduction to classical and finite multiple zeta values, in Publications math\'ematiques de Besan con., no.1 (2019), 103-129.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Kaneko, An introduction to classical and finite multiple zeta values, in Publications math\'ematiques de Besan con., no.1 (2019), 103-129

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.690169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 67f36a16-6e1e-46e6-ab31-4ad8ee3657a0 · outbound

This paper cites Kaneko, and D.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Kaneko, and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.677519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1d00e9c-f66b-4e31-8033-ed770173dabf · outbound

This paper cites Deriving two dualities simultaneously from a family of identities for multiple harmonic sums.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T00:28:30.260701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9877bd6-31be-4cd6-adf0-5227ec9da40b · outbound

This paper cites an unresolved cited work.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:28:30.666090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f9f8fbf4-50b6-4cc0-a6a2-b8e05ec7a676 · outbound

This paper cites Rosen, Asymptotic relations for truncated multiple zeta values, J.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Rosen, Asymptotic relations for truncated multiple zeta values, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.623423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ed90e99d-31d7-46db-bb8c-fa9c21bcbf81 · outbound

This paper cites an unresolved cited work.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:28:30.528872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 45bb41e5-cb02-405e-b2ef-73660cc4a00f · outbound

This paper cites Seki, The p -adic duality for the finite star-multiple polylogarithms , Tohoku Math.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Seki, The p -adic duality for the finite star-multiple polylogarithms , Tohoku Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.516288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 15331df5-8ff7-4a48-a249-df157adc979d · outbound

This paper cites Seki and S.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Seki and S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.503483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c8f7552a-e383-4bcb-83f5-b343bfa88f29 · outbound

This paper cites Takeyama, Derivations on the algebra of multiple harmonic q -series and their applications, Ramanujan J.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Takeyama, Derivations on the algebra of multiple harmonic q -series and their applications, Ramanujan J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.489998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5a345031-a8b8-4b47-a9ab-f8c28d05bfa2 · outbound

This paper cites Takeyama and K.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Takeyama and K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.477076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0e8202aa-f135-4790-8ad3-5f8eb674c7c6 · outbound

This paper cites Tsuruta, Maesaka--Seki--Watanabe's formula for multiple harmonic q -sums, J.

Duality formulas for $\widehat{\mathcal{Q}}$-multiple zeta values Tsuruta, Maesaka--Seki--Watanabe's formula for multiple harmonic q -sums, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:28:30.383391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.