Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:37.837998Z
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 11 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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
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.
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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.