Paper Citation Record · LEDGER

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2506.01706.

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

pith.paper-citation-record.v1
2506.01706 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:41:17.699478Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:37.832443Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T19:01:37.879156Z

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy2
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5c29227-abb9-41f1-b990-587e200879f6 · outbound

This paper cites Hardy, J.E.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Hardy, J.E

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:15.881680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c504a879-a518-42dd-a43c-bc1e22f0682c · outbound

This paper cites an unresolved cited work.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:41:18.382427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f07f973-fc77-4615-8dae-93d3a9c7a2e8 · outbound

This paper cites Moser, Proof of the Titchmarsh’s hypothesis in the theory of the Riemann zeta-function, Acta Arit., 36, (1980), 147 – 156, (in Russian).

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Moser, Proof of the Titchmarsh’s hypothesis in the theory of the Riemann zeta-function, Acta Arit., 36, (1980), 147 – 156, (in Russian)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:18.371511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5a1dcfa9-8d4c-4b13-b2f6-0e606fb46d0a · outbound

This paper cites On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:41:18.193051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa72ad26-e621-4c3e-8335-5b5807a792dd · outbound

This paper cites Strange Quarks Nuggets in Space: Charges in Seven Settings.

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:16.459147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a3b597f-5855-42ec-a22c-719a4abde755 · outbound

This paper cites Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:16.685286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4487e1e5-1013-4d7a-86c3-90df94e15675 · outbound

This paper cites Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:16.848174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b478985d-b4e0-45d2-acbc-7aaaf1967808 · outbound

This paper cites Moser, Jacob’s ladders and vector operator producing new generations of L2-orthogonal systems connected with the Riemann’s ζ 1 2 + it -function, arXiv: 2302.0750.v3.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Moser, Jacob’s ladders and vector operator producing new generations of L2-orthogonal systems connected with the Riemann’s ζ 1 2 + it -function, arXiv: 2302.0750.v3

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:16.919524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01925208-f083-4be9-adaa-099e4fd9ea1c · outbound

This paper cites Jacob's ladders, existence of almost linear increments of the Hardy-Littlewood integral and new types of multiplicative laws.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, existence of almost linear increments of the Hardy-Littlewood integral and new types of multiplicative laws

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:17.039618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69d9180a-e78f-46a1-96f6-c5e518098972 · outbound

This paper cites Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918), the classical Dirichet's sum of divisors (1849) and their relationship with the Fermat-Wiles theorem.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918), the classical Dirichet's sum of divisors (1849) and their relationship with the Fermat-Wiles theorem

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:17.140722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6fdf84a1-1c27-4ce9-922a-a51fb46d63f4 · outbound

This paper cites Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926).

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders and new equivalents of the Fermat-Wiles theorem connected with some cross-bred of the formulae of Hardy-Littlewood-Ingham (1926) and of Ingham (1926)

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:41:17.888396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc9d8fdf-6f52-4f48-95a4-4a28021ce906 · outbound

This paper cites Jacob's ladders, next equivalents of the Fermat-Wiles theorem and new infinite sets of the equivalents generated by the Dirichlet's series.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, next equivalents of the Fermat-Wiles theorem and new infinite sets of the equivalents generated by the Dirichlet's series

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:17.476527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e75349d-a7e3-46e6-80fd-2c169edfc516 · outbound

This paper cites Jacob's ladders, new equivalent of the Fermat-Wiles theorem generated by certain cross-breed of Ingham and Heath-Brown formula (1979) and some chains of equivalents.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Jacob's ladders, new equivalent of the Fermat-Wiles theorem generated by certain cross-breed of Ingham and Heath-Brown formula (1979) and some chains of equivalents

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T11:41:17.480926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e4cbc58-0ce3-4ddb-bf43-2e3494aed62d · outbound

This paper cites an unresolved cited work.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:41:18.360636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e15c9686-bd5a-432a-8dcd-ecc6af13d4b3 · outbound

This paper cites Selberg, Contributions to the theory of the Riemann zeta-function, Arch.

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:41:18.348366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd37812b-abff-4865-ba28-45d44db0537a · outbound

This paper cites an unresolved cited work.

Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:41:18.308116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation cf3b1d44-e773-4114-ba82-43ace001522a · inbound

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem cites this paper.

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders, E. C. Titchmarsh's hypothesis (1934) and new $\zeta$-equivalents of the Fermat-Wiles theorem or connections between Fermat's rationals and the Gram's sequence

Reference 17

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T19:01:37.887690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.