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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 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=sha256:810c9c972c87139f46db051cc0930dab643eb44aa4fe9ccfd3fd888c900fb9a1

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=sha256:7e4d6c822b2f8e0632cf80cec65a6579de5e9f4361100d6821d1d5e16d4a5cae

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=sha256:6c2aeb37364beac820ffd71e55018b03ceb74f97a371d760a6a296a83f46ef5e

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=sha256:80b4f4419e1d0b6593d3d3e142dc208ca26eb9f00ec4eac668dfe54d9fd50a44

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=sha256:6f140baa8e467b048e5a3d0b2da849da75719752a5415c57551c0317d95f3b23

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=sha256:469cbb0fb0e53fe0a6909743e99b66ec8b91260e38ab9a3e88a0cd58d5d5f8d8

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=sha256:0941d9bb4b9ee0f06133a36d30299d0604f8829ab58e2263c4f96e2eda0fb10b

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=sha256:00219c6b257f0cbbfc2e47129feb126946bb1b1679d3a6b8728d81afce8989e4

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:cbe206e0d92f76ae4e16d0e1c7032726199745a51b2d6c1ec93edede65e79924

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=sha256:400e3ffcdb9dbd217c203122966cd04e795f8c45c62d594290679aaa9e3eb9d1

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:ed30c2a38669703397c69f59c323cdee4d942913159829b2f5e052bf6ef5f289

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=sha256:98a563753bb27ba8786a39f9b23b5e4eebdcb5b8fd36eeb52f50ed33ba3e67c8

Pith citing papers

No inbound Pith citation observations are available.