Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:02.408351Z
Paper Citation Record · LEDGER
On the irrationality of certain $p$-adic zeta values
As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2505.23088.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact5
- verified fuzzy15
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 22e4ab60-6855-45a5-ada1-00945a482c40 · outbound
This paper cites Ap´ ery,Irrationalit´ e deζ(2)etζ(3), inJourn´ ees Arithm´ etiques (Luminy, 1978), Ast´ erisque, vol.
On the irrationality of certain $p$-adic zeta values Ap´ ery,Irrationalit´ e deζ(2)etζ(3), inJourn´ ees Arithm´ etiques (Luminy, 1978), Ast´ erisque, vol
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:07.482890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 76ea596f-0f4d-4553-9c44-4ec7d3a2f368 · outbound
This paper cites an unresolved cited work.
On the irrationality of certain $p$-adic zeta values Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:21:07.322299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 110bdfa9-66c5-47a3-84c8-b2d7434f26f4 · outbound
This paper cites Beukers,Irrationality proofs using modular forms, Journ´ ees arithm´ etiques de Be- san¸ con (Besan¸ con, 1985), Ast´ erisque No.
On the irrationality of certain $p$-adic zeta values Beukers,Irrationality proofs using modular forms, Journ´ ees arithm´ etiques de Be- san¸ con (Besan¸ con, 1985), Ast´ erisque No
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:07.157166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2c53cf98-699e-4998-9f6f-14efc0c5982d · outbound
This paper cites Beukers,Irrationality of somep-adicL-values, Acta Math.
On the irrationality of certain $p$-adic zeta values Beukers,Irrationality of somep-adicL-values, Acta Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:06.953970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7b3b1ebd-b1c0-445f-9f72-781518f98602 · outbound
This paper cites Brown and W.
On the irrationality of certain $p$-adic zeta values Brown and W
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:20:59.795520Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c26259bc-e59d-40bf-b73b-4e1b23622cbe · outbound
This paper cites Calegari,Irrationality of certainp-adic periods for smallp, Int.
On the irrationality of certain $p$-adic zeta values Calegari,Irrationality of certainp-adic periods for smallp, Int
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:06.789818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c82e044b-6c97-41bd-aefc-6dc57cd1e615 · outbound
This paper cites Calegari, V.
On the irrationality of certain $p$-adic zeta values Calegari, V
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:06.610762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0510eb2e-8f39-4142-a2ef-a21e154bdfeb · outbound
This paper cites Cohen,Number Theory, Vol.
On the irrationality of certain $p$-adic zeta values Cohen,Number Theory, Vol
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:06.305593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 14d2550f-398f-43eb-af67-2142d27e6ca8 · outbound
This paper cites Elezovi´ c, C.
On the irrationality of certain $p$-adic zeta values Elezovi´ c, C
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:06.051916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c403380e-4c0a-4a37-bfaf-ebca85968dcf · outbound
This paper cites Fischler,Linear independence of odd zeta values using Siegel’s lemma, Preprint arXiv:2109.10136 [math.NT](2021).
On the irrationality of certain $p$-adic zeta values Fischler,Linear independence of odd zeta values using Siegel’s lemma, Preprint arXiv:2109.10136 [math.NT](2021)
Reference 10
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T13:21:03.732029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b0054389-b9a8-4e87-930c-50cc68bc097f · outbound
This paper cites Fischler, J.
On the irrationality of certain $p$-adic zeta values Fischler, J
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:05.873277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d8031152-2e8b-4fae-b2b1-da5290be9dce · outbound
This paper cites Lai,On the irrationality of certain2-adic zeta values, Int.
On the irrationality of certain $p$-adic zeta values Lai,On the irrationality of certain2-adic zeta values, Int
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:05.613546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a1ae947c-32ab-4f99-9402-a8def1c25913 · outbound
This paper cites Small improvements on the Ball-Rivoal theorem and its $p$-adic variant.
On the irrationality of certain $p$-adic zeta values Small improvements on the Ball-Rivoal theorem and its $p$-adic variant
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:21:03.349985Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 116df2b2-ee21-419c-8509-24a7309babf6 · outbound
This paper cites A note on the number of irrational odd zeta values, II.
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 2026-08-09T06:31:02.800959+00:00.
Observation 4bec8d99-e68c-41b5-95ca-d721cd4a0c17 · outbound
This paper cites Many $p$-adic odd zeta values are irrational.
On the irrationality of certain $p$-adic zeta values Many $p$-adic odd zeta values are irrational
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:21:02.985416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a4a9ad6a-c99a-4d45-a3dc-9870490554a5 · outbound
This paper cites A note on the irrationality of $\zeta_2(5)$.
On the irrationality of certain $p$-adic zeta values A note on the irrationality of $\zeta_2(5)$
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T13:21:02.719861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 590033e8-e38f-411a-8446-c9a0ab1aadec · outbound
This paper cites Lai and P.
On the irrationality of certain $p$-adic zeta values Lai and P
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:05.358242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 228cd584-36f3-47ce-a0da-633cfd0d6f94 · outbound
This paper cites Rivoal,La fonction zˆ eta de Riemann prend une infinit´ e de valeurs irrationnelles aux entiers impairs, C.
On the irrationality of certain $p$-adic zeta values Rivoal,La fonction zˆ eta de Riemann prend une infinit´ e de valeurs irrationnelles aux entiers impairs, C
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:05.177351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7b8628c1-61eb-4c09-acbd-ed579729d921 · outbound
This paper cites an unresolved cited work.
On the irrationality of certain $p$-adic zeta values Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:21:05.002597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation af2c4cfe-c8da-4c18-a8b7-f42f31064920 · outbound
This paper cites an unresolved cited work.
On the irrationality of certain $p$-adic zeta values Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:21:04.853537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 32a3b9ba-59ed-4728-b4b4-94e44c619590 · outbound
This paper cites Sprang,Linear independence result forp-adicL-values, Duke Math.
On the irrationality of certain $p$-adic zeta values Sprang,Linear independence result forp-adicL-values, Duke Math
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:04.702736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 91b70020-6ebe-423f-abb7-f0e04ca3efa1 · outbound
This paper cites Zudilin,One of the numbersζ(5),ζ(7),ζ(9),ζ(11)is irrational, Uspekhi Mat.
On the irrationality of certain $p$-adic zeta values Zudilin,One of the numbersζ(5),ζ(7),ζ(9),ζ(11)is irrational, Uspekhi Mat
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:04.556686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7a4eed82-d7da-4937-ae42-5893d9aadb86 · outbound
This paper cites Zudilin,Irrationality of values of the Riemann zeta function, Izvestiya Ross.
On the irrationality of certain $p$-adic zeta values Zudilin,Irrationality of values of the Riemann zeta function, Izvestiya Ross
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:04.377941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f90cc180-5b63-4aca-88cb-f20dd71a98b0 · outbound
This paper cites Zudilin,Arithmetic of linear forms involving odd zeta values, J.
On the irrationality of certain $p$-adic zeta values Zudilin,Arithmetic of linear forms involving odd zeta values, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:21:04.091329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.