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Paper Citation Record · LEDGER

A note on the number of irrational odd zeta values, II

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2501.05321.

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

pith.paper-citation-record.v1
2501.05321 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:24:46.864821Z

measured 15 of 15 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:01.073504Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T13:21:03.077401Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 23603e20-cccd-4fe5-8bb5-80eb17c0f8eb · outbound

This paper cites Ap´ ery,Irrationalit´ e deζ(2) et ζ(3), in Journ´ ees Arithm´ etiques (Luminy, 1978), Ast´ erisque, vol.

A note on the number of irrational odd zeta values, II Ap´ ery,Irrationalit´ e deζ(2) et ζ(3), in Journ´ ees Arithm´ etiques (Luminy, 1978), Ast´ erisque, vol

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.583527Z

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=2026-08-10T21:24:46.804682Z digest=sha256:04ebcbe65c8abc03d3b2ee02ad0f557d0def42179c98f91bde762c4c973ecdb5

Observation aafa46c3-2dcd-4f66-a354-131ca2fd14a0 · outbound

This paper cites Ball and T.

A note on the number of irrational odd zeta values, II Ball and T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.567534Z

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=2026-08-10T21:24:46.809900Z digest=sha256:d754fd12d23acf888abba2fdac09555fce8562c8c6c0ae92c980fd4ad19c1368

Observation 687adddf-e859-4c9b-8f13-ed6fb5829ff3 · outbound

This paper cites Fischler, Linear independence of odd zeta values using Siegel’s lemma , arXiv:2109.10136 [math.NT], 2021.

A note on the number of irrational odd zeta values, II Fischler, Linear independence of odd zeta values using Siegel’s lemma , arXiv:2109.10136 [math.NT], 2021

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-10T21:24:46.814984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:24:46.814984Z digest=sha256:f7220b6ccb6450d573df4aae8033bacbc4bff3dda22e8c748afe1259fe625df7

Observation e67d6b56-424a-474d-9ab9-1de77eec75f1 · outbound

This paper cites Fischler, J.

A note on the number of irrational odd zeta values, II Fischler, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.552022Z

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=2026-08-10T21:24:46.819814Z digest=sha256:717e8239e399b0db59b714e1fc4b67222a55fe9d5f703586e91334f3c9e263e5

Observation 08f7a314-c78e-4fbf-9778-891ef661e1d3 · outbound

This paper cites Small improvements on the Ball-Rivoal theorem and its $p$-adic variant.

A note on the number of irrational odd zeta values, II Small improvements on the Ball-Rivoal theorem and its $p$-adic variant

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T21:24:46.824690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:24:46.824690Z digest=sha256:f729f3022f1c929bb41bc9871fa0ed41fe76938eb266f7ba1b357b847de8189d

Observation ec6662f8-1b64-47a2-b86a-bec6b9cd71fa · outbound

This paper cites Lai and P.

A note on the number of irrational odd zeta values, II Lai and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.536396Z

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=2026-08-10T21:24:46.830275Z digest=sha256:41403c6bb4391b3c97a6ca52e7af6853b3da227a45ef75da8fba3db6e2093f05

Observation aa076c65-a39d-4b77-ba45-509e89d82d07 · outbound

This paper cites Lai and L.

A note on the number of irrational odd zeta values, II Lai and L

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.519097Z

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=2026-08-10T21:24:46.835841Z digest=sha256:7e5e5e699f014bce49e785aa457fee6c9e82982fb4ab4bba6040552125ad4a13

Observation 2e4af7e5-31c3-49cb-86b5-44bc9cc8251f · outbound

This paper cites Rivoal, La fonction zˆ eta de Riemann prend une infinit´ e de valeurs ir rationnelles aux entiers impairs , C.

A note on the number of irrational odd zeta values, II Rivoal, La fonction zˆ eta de Riemann prend une infinit´ e de valeurs ir rationnelles aux entiers impairs , C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.500212Z

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=2026-08-10T21:24:46.840520Z digest=sha256:9e82e8cdca1a74c21e9a74dbc3cee38833c8c8010c9d1c94f0ecb58022c4f6ae

Observation 46c146e1-38cb-49ec-9945-4f44a11497f7 · outbound

This paper cites Infinitely many odd zeta values are irrational. By elementary means.

A note on the number of irrational odd zeta values, II Infinitely many odd zeta values are irrational. By elementary means

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:24:46.907195Z

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=2026-08-10T21:24:46.845054Z digest=sha256:cb4bcd214b42d3532d7987882e326c690c8fb25d29219cee72174bd2039a7bb4

Observation 2621b17c-7aec-471b-8e11-f38a6acb7ecb · outbound

This paper cites Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational , Uspekhi Mat.

A note on the number of irrational odd zeta values, II Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational , Uspekhi Mat

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.483951Z

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=2026-08-10T21:24:46.850108Z digest=sha256:26259689c665e33380c97c21823546fc127bae916b24feaed01bab982a4e9f09

Observation b63cc1a6-c7a7-4eb9-a132-3abc9c18a365 · outbound

This paper cites Zudilin, Irrationality of values of the Riemann zeta function , Izvestiya Ross.

A note on the number of irrational odd zeta values, II Zudilin, Irrationality of values of the Riemann zeta function , Izvestiya Ross

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.469074Z

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=2026-08-10T21:24:46.855053Z digest=sha256:60abdd1ed59d559e511ad50443948fd25822ef26de6bff50d92576326cfd811b

Observation 1da1780b-dc17-4e56-be0a-721f6d505565 · outbound

This paper cites Zudilin, Arithmetic of linear forms involving odd zeta values , J.

A note on the number of irrational odd zeta values, II Zudilin, Arithmetic of linear forms involving odd zeta values , J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.452862Z

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=2026-08-10T21:24:46.859813Z digest=sha256:35902771eb68405e43c290c7c3659261f471ade56f97d4355971cd5924709e9d

Observation 7be2df41-ee83-4849-949a-3a6e8f1d13a8 · outbound

This paper cites Zudilin, One of the odd zeta values from ζ(5) toζ(25) is irrational.

A note on the number of irrational odd zeta values, II Zudilin, One of the odd zeta values from ζ(5) toζ(25) is irrational

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:24:47.436800Z

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=2026-08-10T21:24:46.864821Z digest=sha256:f5bfe8fd8cd3f558c6cfe6e8bdcffe268c382e51588d07fe47c22308af2f9278

Pith citing papers

Observation 116df2b2-ee21-419c-8509-24a7309babf6 · inbound

On the irrationality of certain $p$-adic zeta values cites this paper.

On the irrationality of certain $p$-adic zeta values A note on the number of irrational odd zeta values, II

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:21:03.148111Z

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=2026-08-07T13:21:01.073504Z digest=sha256:13ab1b5374b32a2c48ffd151999e0cec2857622309ae8d84ff084a7a1150a7a2

Observation 14ffbf1d-8154-461b-a9d8-79a09bd6b6c6 · inbound

Multiple Zeta Values cites this paper.

Multiple Zeta Values A note on the number of irrational odd zeta values, II

Reference 1984

Resolution
unresolved
no resolver link, observed 2026-08-04T11:09:09.383951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T11:09:09.383951Z digest=sha256:c5f936b26adfdd00e99deea87b8d4dd8e9a3a9f71cfb789ee84c0c933cd8dbb0