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Paper Citation Record · LEDGER

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$

As of 13 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2411.16774.

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

pith.paper-citation-record.v1
2411.16774 v3

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:34:57.082391Z

measured 9 of 9 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

9 of 9 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9d40d6a-6d98-4ba9-8c39-6b258a1afa74 · outbound

This paper cites Apéry, Irrationalité de ζ(2) et ζ(3), Astérisque, 61 (1979) 11–13.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Apéry, Irrationalité de ζ(2) et ζ(3), Astérisque, 61 (1979) 11–13

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.244191Z

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=pdf_text observed=2026-08-12T13:34:57.051146Z digest=sha256:812f73fa0e5991224abb54b9f2ba6bd3fd4cd1fb65c38b1d696fb8a32c3452be

Observation 604cc4fa-b3c0-4e3f-bedc-0e2d03c14722 · outbound

This paper cites Ball and T.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Ball and T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.230402Z

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=pdf_text observed=2026-08-12T13:34:57.055671Z digest=sha256:d8061e8d35c7d6be404bea92a16a21a833b6edab990e44ad81850d3a6f9d0df0

Observation 0d3cac72-9cad-44b4-8ca6-fc72382eac12 · outbound

This paper cites Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.216478Z

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=pdf_text observed=2026-08-12T13:34:57.059504Z digest=sha256:266f3fbdfdea3d1bfa43aa95ed54378825e1a2d1be199b3d81fcfe4a33c173fe

Observation 46cfa495-0dc6-4e19-a04a-19665a6adfe5 · outbound

This paper cites The linear independence of $1$, $\zeta(2)$, and $L(2,\chi_{-3})$.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ The linear independence of $1$, $\zeta(2)$, and $L(2,\chi_{-3})$

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T13:34:57.063232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:34:57.063232Z digest=sha256:78c4da43a8acfda5953d8fbd4745e45df1464ea062d3fef4bd1e9c550e242b6f

Observation 922b033d-8620-4a04-8ba0-6cdc02519ea7 · outbound

This paper cites Huylebrouck, Similarities in Irrationality Proofs f or π , ln 2, ζ(2), and ζ(3), The American Mathemat- ical Monthly, 108.3 (2001) 222–231.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Huylebrouck, Similarities in Irrationality Proofs f or π , ln 2, ζ(2), and ζ(3), The American Mathemat- ical Monthly, 108.3 (2001) 222–231

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.202655Z

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=pdf_text observed=2026-08-12T13:34:57.067296Z digest=sha256:6ab40d237ed995415d8940ad39e5d6ff54ffde94a90f6443e0cb226bed175db3

Observation 23f08648-f975-45ac-a7d4-1f855f651ae6 · outbound

This paper cites A note on the Irrationality of $\zeta(5)$ and Higher Odd Zeta Values.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ A note on the Irrationality of $\zeta(5)$ and Higher Odd Zeta Values

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-12T13:34:57.127152Z

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=pdf_text observed=2026-08-12T13:34:57.071057Z digest=sha256:e6b1d927dde00baf140e1e471c029142cc2f57ba04d86895e16a40e73a8138df

Observation ef4af982-77d7-4d5c-8f5c-687ed67aae0a · outbound

This paper cites Waldschmidt, Diophantine approximation on linear algebraic groups: tra nscendence properties of the exponential function in several variables , Vol.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Waldschmidt, Diophantine approximation on linear algebraic groups: tra nscendence properties of the exponential function in several variables , Vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.188685Z

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=pdf_text observed=2026-08-12T13:34:57.075072Z digest=sha256:2d94a03c916c0a6755c15b04efa0727fe6e4f9cedeaadc6bd52eb4279c7301f2

Observation 7e690624-d579-4432-ba60-c2597afc0e5b · outbound

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

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational, Uspekhi Mat

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.176748Z

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=pdf_text observed=2026-08-12T13:34:57.078720Z digest=sha256:19f52945aa0b692a36215bfe0d811d1654b3f0fe2669ad43ad360c0a061c3047

Observation 9ca6cce9-b176-4d08-ad0f-dfc66fb7a0d3 · outbound

This paper cites Zudilin, Analytic Methods in Number Theory: When Complex Numbers Count , Vol.

A Note on a Recent Attempt to Prove the Irrationality of $\zeta(5)$ Zudilin, Analytic Methods in Number Theory: When Complex Numbers Count , Vol

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:34:57.162080Z

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=pdf_text observed=2026-08-12T13:34:57.082391Z digest=sha256:b586b5239e0c0f31f82541556130259532b1bb8ff901db0e815299e66f8cf6bc

Pith citing papers

No inbound Pith citation observations are available.