Pith. sign in

Paper Citation Record · LEDGER

Values at non-positive integers of partially twisted multiple zeta-functions II

As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2506.20150.

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

pith.paper-citation-record.v1
2506.20150 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:37:10.474155Z

measured 24 of 24 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:42:45.199794Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T14:42:45.299371Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e29dfe8b-17a2-4ad2-9062-9826359ce552 · outbound

This paper cites Akiyama, S.

Values at non-positive integers of partially twisted multiple zeta-functions II Akiyama, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.816588Z

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=pdf_text observed=2026-08-15T18:37:10.374579Z digest=sha256:2e726b5d15e1d436fedb86547f606a6b8c4c1f37677f8471eb9b2dbb4ae78b63

Observation a0ec5da3-3ebd-4b46-9f1c-11aa8d976c53 · outbound

This paper cites Choie and K.

Values at non-positive integers of partially twisted multiple zeta-functions II Choie and K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.803025Z

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=pdf_text observed=2026-08-15T18:37:10.379345Z digest=sha256:9943b6e223198c050e17cf3cf29e17d16f8e7d6668c286eed0c112ba51ded609

Observation f9e66ca1-f45f-40b3-8acf-8a423389e997 · outbound

This paper cites Choie and K.

Values at non-positive integers of partially twisted multiple zeta-functions II Choie and K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.788517Z

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=pdf_text observed=2026-08-15T18:37:10.383952Z digest=sha256:497fa7a2c98fb6cc281b82ede462520431f0789cc0721091f916d162c401446c

Observation f2b766bb-b4b7-4102-a9cc-c06fe8543c28 · outbound

This paper cites de Crisenoy, Values atT-tuples of negative integers of twisted multi- variable zeta series associated to polynomials of several variables, Com- positio Math.142(2006), no.

Values at non-positive integers of partially twisted multiple zeta-functions II de Crisenoy, Values atT-tuples of negative integers of twisted multi- variable zeta series associated to polynomials of several variables, Com- positio Math.142(2006), no

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.775483Z

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=pdf_text observed=2026-08-15T18:37:10.388505Z digest=sha256:b91b2370ff693cb6c22ee8ed438a21c30cd92484c03787482f74f7604c0bb857

Observation 0fbf2bdf-6e61-439d-8d48-c44aee3f7873 · outbound

This paper cites de Crisenoy and D.

Values at non-positive integers of partially twisted multiple zeta-functions II de Crisenoy and D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.761486Z

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=pdf_text observed=2026-08-15T18:37:10.393063Z digest=sha256:3e580221df1bcd5923877dafa69eb32c2f55b48cd8a207062e036c5e4d87a013

Observation 2e90edb6-7d8f-4efe-841b-5bd8781bf1c0 · outbound

This paper cites Essouabri, Singularit´ es de s´ eries de Dirichlet associ´ ees ` a des polynˆ omes de plusieurs variables et application en th´ eorie analytique des nombres, Ann.

Values at non-positive integers of partially twisted multiple zeta-functions II Essouabri, Singularit´ es de s´ eries de Dirichlet associ´ ees ` a des polynˆ omes de plusieurs variables et application en th´ eorie analytique des nombres, Ann

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.747933Z

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=pdf_text observed=2026-08-15T18:37:10.397362Z digest=sha256:7f14b3c9603aa716eb2f77e395b3ba66023cf950c770f9f525cba13e0070a891

Observation 69eeaa94-151e-4704-a4f1-f8c5269adf15 · outbound

This paper cites Essouabri, Zeta functions associated to Pascal’s triangle mod p, Japanese J.

Values at non-positive integers of partially twisted multiple zeta-functions II Essouabri, Zeta functions associated to Pascal’s triangle mod p, Japanese J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.733659Z

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=pdf_text observed=2026-08-15T18:37:10.402417Z digest=sha256:6035cd8d8f180a91414940df7fbc348b74ae8ed3c4a3cbfb1e40549d9004201e

Observation 2bef7c1f-9629-406f-87a2-985f4448047a · outbound

This paper cites Recent Trends on Zeta functions in Algebra and Geometry.

Values at non-positive integers of partially twisted multiple zeta-functions II Recent Trends on Zeta functions in Algebra and Geometry

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.719916Z

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=pdf_text observed=2026-08-15T18:37:10.406733Z digest=sha256:d5f6617764d30a6ab62ea9144dec5b60f3bf8edef96a55c39aed9e7b46106a65

Observation 63de2bd5-9fcb-48ed-a554-073ed75fc224 · outbound

This paper cites Essouabri and K.

Values at non-positive integers of partially twisted multiple zeta-functions II Essouabri and K

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.706342Z

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=pdf_text observed=2026-08-15T18:37:10.410942Z digest=sha256:9a6f5a3e6ddf94e2623e1f6a947ef020ab80fc992a4b0b3f700a11e3cc222906

Observation 953e66c9-a7f9-4cc5-bef4-6fa34f998765 · outbound

This paper cites Essouabri and K.

Values at non-positive integers of partially twisted multiple zeta-functions II Essouabri and K

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.693520Z

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=pdf_text observed=2026-08-15T18:37:10.415137Z digest=sha256:2d77bf39244d55cc515c3f91b34d18cd424f8e2d6c23df669af94c7ed032ebe9

Observation b422d616-9070-46ec-a4cc-aa7fe6b01f56 · outbound

This paper cites Essouabri and K.

Values at non-positive integers of partially twisted multiple zeta-functions II Essouabri and K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.680061Z

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=pdf_text observed=2026-08-15T18:37:10.419330Z digest=sha256:fb8a2040fffe4d5d81efdfe52eb02499196a337774d885b616ce3f8d42a4b98c

Observation bc5c998d-bc05-4bc0-9610-f0fcfe6d5be8 · outbound

This paper cites Komori, An integral representation of multiple Hurwitz-Lerch zeta functions and generalized multiple Bernoulli numbers, Quart.

Values at non-positive integers of partially twisted multiple zeta-functions II Komori, An integral representation of multiple Hurwitz-Lerch zeta functions and generalized multiple Bernoulli numbers, Quart

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.666645Z

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=pdf_text observed=2026-08-15T18:37:10.423719Z digest=sha256:f65c465673d48c247e11849fea3ee8633135c0b34f33ab29230be24cd3cce6df

Observation 555958b3-d007-4142-9765-79b7452c0342 · outbound

This paper cites Komori, K.

Values at non-positive integers of partially twisted multiple zeta-functions II Komori, K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.652342Z

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=pdf_text observed=2026-08-15T18:37:10.428188Z digest=sha256:78209abdd910a41b0a5685e7d988265aa204258e0aa0d7cc9184ffc17eecd369

Observation 6904c723-bf23-4c99-b2b4-81ae330be258 · outbound

This paper cites Matsumoto, Functional equations for double zeta-functions, Math.

Values at non-positive integers of partially twisted multiple zeta-functions II Matsumoto, Functional equations for double zeta-functions, Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.638740Z

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=pdf_text observed=2026-08-15T18:37:10.432415Z digest=sha256:d4fdf17841409467c37c9326bb5572b0cf92f687cd7fb03af62e5e3cff9aa9b6

Observation 65ad9530-9682-43a3-9065-26677654810f · outbound

This paper cites Matsumoto, T.

Values at non-positive integers of partially twisted multiple zeta-functions II Matsumoto, T

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.624737Z

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=pdf_text observed=2026-08-15T18:37:10.436608Z digest=sha256:3603fc8c9055325ee90b8ded29dd215ff61330016ed32c8179d94191e0cba91b

Observation b8f13105-f9be-4456-aa8c-2887ba2abff4 · outbound

This paper cites Mellin, Eine Formel f¨ ur den Logarithmus transcendenter Funktionen von endlichem Geschlecht, Acta Soc.

Values at non-positive integers of partially twisted multiple zeta-functions II Mellin, Eine Formel f¨ ur den Logarithmus transcendenter Funktionen von endlichem Geschlecht, Acta Soc

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.610505Z

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=pdf_text observed=2026-08-15T18:37:10.441016Z digest=sha256:cf63121df60fdbdf15d451c8998e8ebb601e28df9d71a4617d5d6d2d1f1bf245

Observation cc679e4b-1161-4535-a4fc-2badaea33c5d · outbound

This paper cites Murahara and T.

Values at non-positive integers of partially twisted multiple zeta-functions II Murahara and T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.595950Z

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=pdf_text observed=2026-08-15T18:37:10.446386Z digest=sha256:570bbb55d4b3c1012f35509a66df37f4b0be71bb00ba163f74ccc5498b7b3271

Observation 1c81b62f-f514-43b0-93d0-d046e78b9366 · outbound

This paper cites Onozuka, Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers, Funct.

Values at non-positive integers of partially twisted multiple zeta-functions II Onozuka, Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers, Funct

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.580567Z

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=pdf_text observed=2026-08-15T18:37:10.450654Z digest=sha256:48e2db5a6dd998afc0913dbb402844ec600d6903bd44f1038528dd642da88f1e

Observation 0e7576f6-72ee-45f2-b274-0e9adce0e149 · outbound

This paper cites Values and derivative values at nonpositive integers of generalized multiple Hurwitz zeta functions.

Values at non-positive integers of partially twisted multiple zeta-functions II Values and derivative values at nonpositive integers of generalized multiple Hurwitz zeta functions

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-15T18:37:10.454737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:37:10.454737Z digest=sha256:4e1af798a5f7be8fa5e11a9bf45c7f518271673378ea3da16e541dfa4c148ae9

Observation ba903ce2-cba5-4c99-af02-3317cfaa1e8c · outbound

This paper cites Saha, Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points, Selecta Math.28(2022), paper no.

Values at non-positive integers of partially twisted multiple zeta-functions II Saha, Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points, Selecta Math.28(2022), paper no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.566704Z

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=pdf_text observed=2026-08-15T18:37:10.459407Z digest=sha256:4e51548a985fb6444f171b3ec3c54cb4216c254143c39070fd49903e4ed02f93

Observation e410a364-d947-43fc-af8b-4b5952351659 · outbound

This paper cites an unresolved cited work.

Values at non-positive integers of partially twisted multiple zeta-functions II Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:37:10.552819Z

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=pdf_text observed=2026-08-15T18:37:10.464301Z digest=sha256:15b483cd4b92ba2ac22ace5e77f385ce25f364b1a5118e790eb2288b46bbe1ea

Observation e5d8da13-5bc8-46eb-bea0-7f3a484222a3 · outbound

This paper cites Sasaki, Multiple zeta values for coordinatewise limits at non-positive integers, Acta Arith.136(2009), 299–317.

Values at non-positive integers of partially twisted multiple zeta-functions II Sasaki, Multiple zeta values for coordinatewise limits at non-positive integers, Acta Arith.136(2009), 299–317

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T18:37:10.538044Z

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=pdf_text observed=2026-08-15T18:37:10.468930Z digest=sha256:dfa9125ea54138de2c810e40eda79ba7061dcca8b136a329dd5f3adba21f4afc

Observation cb7d85cb-cdbf-4d73-814b-2f5c2556efdb · outbound

This paper cites an unresolved cited work.

Values at non-positive integers of partially twisted multiple zeta-functions II Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-15T18:37:10.523483Z

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=pdf_text observed=2026-08-15T18:37:10.474155Z digest=sha256:b649f7e0a8409d5d512b8a85bc1ba2cb6e7892eb1ac2f07d396a182a0c4cd3ef

Pith citing papers

Observation 6ca99786-0ee3-4574-9e93-f5693d2d4a3f · inbound

Vanishing of Witten zeta function at negative integers cites this paper.

Vanishing of Witten zeta function at negative integers Values at non-positive integers of partially twisted multiple zeta-functions II

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:42:45.302921Z

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=pdf_text observed=2026-08-11T14:42:45.199794Z digest=sha256:87e5f64849ef6d630af5bad3be805f3cd0ff9e349e598dca6a2ecc74e37e5f67