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Paper Citation Record · LEDGER

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.09806.

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

pith.paper-citation-record.v1
2608.09806 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:43:15.620986Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09bd929c-7531-4463-bfa5-22eaf9a48906 · outbound

This paper cites Bouillot, The algebra of multitangent functions, J.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Bouillot, The algebra of multitangent functions, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.877480Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.553793Z digest=sha256:3c4e41661d39ea91f459284a70d8fce1414654b04c938f0dce9e4492165abed2

Observation f9b7a85b-e8c6-4a12-a9ff-f5bca3f8c9de · outbound

This paper cites Bachmann, Y.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Bachmann, Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.857009Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.559898Z digest=sha256:a58432dde5108d404abcf9c96f2002f13aa2dd1034638fbcf28992093ee04802

Observation 7c8a19e5-e7b1-4ec4-a050-7645910d1c1e · outbound

This paper cites Bachmann, Y.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Bachmann, Y

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.836847Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.565292Z digest=sha256:11fae67914cdf2225f76b3099709a1163c339754d906b8795bbb8291ff136f4e

Observation 05341981-9c0b-414f-bd4e-d703b2ab52bc · outbound

This paper cites Gasper, M.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Gasper, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.817703Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.572244Z digest=sha256:f9f6484a75372a91637def2d21d252c35eb37b11eb58122ae399cfb1de5e717a

Observation c7b2fdce-b109-4287-ba74-d152170ac55a · outbound

This paper cites Hirose, Double shuffle relations for refined symmetric multiple zeta values, Doc.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Hirose, Double shuffle relations for refined symmetric multiple zeta values, Doc

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.795802Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.578323Z digest=sha256:3244d2d4446fa7759c1c6b4d6526119e4169e25b577fc2cfe7d1906664e7607b

Observation d40134f5-5597-45cc-b08f-23ff0cada36d · outbound

This paper cites Multitangent functions and symmetric multiple zeta values.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Multitangent functions and symmetric multiple zeta values

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T10:43:15.584596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T10:43:15.584596Z digest=sha256:a6b50f18f4040b406b3920ee0e1840e0c037be39f27339ce0e2a219ccacd1dd2

Observation bcfd2b81-0e16-40ec-a45b-fd202aad4d32 · outbound

This paper cites Hessami Pilehrood, T.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Hessami Pilehrood, T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.773302Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.592139Z digest=sha256:8645a83a272f82cb5009aab6ffab83991699e6def74dc784c44d82cff4e0718f

Observation ceffddf0-889a-4b2e-988b-d995390c19c0 · outbound

This paper cites Kawashima, A class of relations among multiple zeta values, J.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Kawashima, A class of relations among multiple zeta values, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.755609Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.598031Z digest=sha256:5554106fba805d517cb29b5372aa619a2a15c1bf3e3c1db79e695411fe3c46a9

Observation cd3fd331-d8ea-4b0d-a3b6-8449009db6f2 · outbound

This paper cites Kaneko, D.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Kaneko, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.737800Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.604128Z digest=sha256:f01e1faedaba0d62280d601f8032cd99472c297eec6a268ff703dd9b6ecfe9dd

Observation fd50be09-1a80-4c9e-9f5f-120c664cd262 · outbound

This paper cites Seki, Connectors, RIMS K\^oky\^uroku, 2160 (2020), 15--27.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Seki, Connectors, RIMS K\^oky\^uroku, 2160 (2020), 15--27

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.719755Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.610298Z digest=sha256:232822dd9d5570d185d732e483649e10e02d09c8c0bb88bea54b83b29b38a498

Observation 9e8ce5c6-5616-443a-9a68-e9ee7fd2ade0 · outbound

This paper cites an unresolved cited work.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T10:43:15.700799Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.615742Z digest=sha256:649d03ab8db714d0e19f414a79f09308739d5192cf0577abba4a920235dead6e

Observation d1296a1b-7ba3-4501-9c5e-8d5afc2c2844 · outbound

This paper cites Tanaka, N.

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity Tanaka, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T10:43:15.681974Z

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.

source=arxiv_source observed=2026-08-11T10:43:15.620986Z digest=sha256:64d541b4a9185d37227d01f2e2a1a718331f2b89e20d73b25233857d4a8e8186

Pith citing papers

No inbound Pith citation observations are available.