Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.553793Z digest=sha256:c88bf516d4a982145c3be0b000dec15dea378a1d4f4940d46815d705e265d054

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.559898Z digest=sha256:0cef0faf2c69bd7873fe7bc4931c1ad57140b21e920a7d0d5ca2ea60921501b2

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.565292Z digest=sha256:4953e858acc5b339ebd40bcd598d5a8f77d1c1660cc155a922be254c9b425204

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.572244Z digest=sha256:969288071a2c001cc61ac535965d0b2efc32a7e5329334094cb1fdb52b7d94b8

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.578323Z digest=sha256:a3555cf540ca599780a8135acbe66ed5d9e17906067c6ddd10f9a9aafaf3a652

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:c5f5debb4554af79a4a070b05fcb6337ce136254cdde5d185200685791452e56

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.592139Z digest=sha256:329c1370d3167cee883238afa6e1d9f58d513c3bb5a8ce0dd3fac48b064952db

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.598031Z digest=sha256:6741c58bc82fd698c6e69688aea7b0815e6c413bcc9681ba666b81ce7611015b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.604128Z digest=sha256:e199ecf2975cf5a9c9da32cd7b0a679748b27691268e05b87c62be845b7df856

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.610298Z digest=sha256:8dcbee9c9210ef99e5aa74e0daae769fa72f1d5153493fa377b8f359ff3d1735

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.615742Z digest=sha256:b853c4df88f818511114114722280355cd8a3baae9bbcd410143f42c6b980c7b

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T10:43:15.620986Z digest=sha256:1d211155970c7a1fa67399330242e372305600729837f1c62dde1434e8d3fc7f

Pith citing papers

No inbound Pith citation observations are available.