Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.06724.

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

pith.paper-citation-record.v1
2507.06724 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:37.837998Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

17 of 17 outbound references displayed

verified exact13
verified fuzzy2
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1f0c5af-5046-4943-9f70-0e934f8e077c · outbound

This paper cites Hardy, J.E.

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

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:38.409360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b2f02541-4fc8-4151-b485-8fc6868403d3 · outbound

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

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Strange Quarks Nuggets in Space: Charges in Seven Settings

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T19:01:38.378118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1b67722d-9952-4a24-a3ac-68c2a6034a7d · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders, the structure of the Hardy-Littlewood integral and some new class of nonlinear integral equations

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.357906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e7b9924e-40aa-45c9-b0ca-ca0ad67f4c47 · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders, reverse iterations and new infinite set of $L_2$-orthogonal systems generated by the Riemann $\zf$-function

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.335290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bf35cd48-5303-466b-b57e-3a915047fc2c · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem 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 5

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:01:38.308590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c2790467-7ff5-4242-b5fb-8ac886d5a971 · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders, existence of almost linear increments of the Hardy-Littlewood integral and new types of multiplicative laws

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.224720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 73cc26d6-25d4-4161-8321-8c6bf86ccc59 · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem 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 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.198509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 428bd1fb-c426-45f7-a696-f01dcee9363f · outbound

This paper cites Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem.

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, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.174675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 04fc2bc4-76c0-4c06-9341-6f27f05bd6be · outbound

This paper cites Naive Bayes-based Context Extension for Large Language Models.

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Naive Bayes-based Context Extension for Large Language Models

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.149792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e8388093-0faf-4021-bbd7-0da0115cbeaf · outbound

This paper cites Jacob's ladders, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $\Omega$-theorem (1928) and new point of contact with the Fermat-Wiles theorem.

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, logarithmic modification of the Hardy-Littlewood integral (1918), Titchmarsh's $\Omega$-theorem (1928) and new point of contact with the Fermat-Wiles theorem

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.115533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 65615fe3-5604-4ad8-a53f-9ec0dd5ad8ee · outbound

This paper cites Jacob's ladders, almost exact decomposition of certain increments of the Hardy-Littlewood integral (1918) by means of the Raabe's integral and the thirteenth equivalent of the Fermat-Wiles theorem.

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, almost exact decomposition of certain increments of the Hardy-Littlewood integral (1918) by means of the Raabe's integral and the thirteenth equivalent of the Fermat-Wiles theorem

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.083653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4775aa0b-270f-4e10-a328-5f658a338276 · outbound

This paper cites Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders.

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 and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:38.054434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb13761e-fdc4-49f3-aace-f211deac4747 · outbound

This paper cites an unresolved cited work.

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Unresolved cited work

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:01:38.026270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7c890fa-7650-466a-9f8b-391e104c5fa6 · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Jacob's ladders, next equivalents of the Fermat-Wiles theorem and new infinite sets of the equivalents generated by the Dirichlet's series

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:37.940583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5de68771-11c3-46c6-9206-d25bc5255299 · 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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem 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 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:01:37.913337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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

This paper cites 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, $\zeta$-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 2026-08-18T06:34:40.430872+00:00.

Observation e9f09817-9bdd-4bcf-b973-c664b91ff22a · outbound

This paper cites Weyl, The open world, New Haven - Yale Univ.

Jacob's ladders, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem Weyl, The open world, New Haven - Yale Univ

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:38.392923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.