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Paper Citation Record · LEDGER

Asymptotic properties of zeros of Riemann zeta function

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.07253.

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

pith.paper-citation-record.v1
2507.07253 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:58:04.732724Z

measured 14 of 14 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

14 of 14 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 057fb584-5379-4ef7-b827-e027bdad67d6 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:05.038742Z

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=2026-08-06T18:58:04.671244Z digest=sha256:7e0f33855b387b59aa376cf30e4c4a4555ba3d295b1ef56560ef967f0fdf246c

Observation 05cee6a1-0927-4148-8c30-94948999dc82 · outbound

This paper cites Bateman, Tables of Integral transforms, Vol 1, MacGraw-Hill, New York, 1954.

Asymptotic properties of zeros of Riemann zeta function Bateman, Tables of Integral transforms, Vol 1, MacGraw-Hill, New York, 1954

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:05.023204Z

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=2026-08-06T18:58:04.676969Z digest=sha256:e44e0be8ad3a8985ca8cef7e0bcc775a85a3bdf5d09caaa3276559380bedc921

Observation 60d86ff6-b134-47ec-93b5-1f7e60e5b560 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:05.006895Z

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=2026-08-06T18:58:04.681552Z digest=sha256:40f64d308943ceab8ce89811bbf1736668d3b5050720430c86fc48b74d87f68a

Observation 79fc1a48-20a0-4b26-a38d-aefefa0468fa · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:04.992429Z

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=2026-08-06T18:58:04.686007Z digest=sha256:9697ef397710eda6929fcf14f18416599ce08199fc341c9cd91644a00a03415f

Observation 14740ebe-a4c6-469b-9796-2f71838d79a7 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:04.977781Z

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=2026-08-06T18:58:04.690681Z digest=sha256:a868133dfde6548ccfbf5318ab51f86dfc67e82e143db6230bab952799af97fb

Observation fd0e62e4-1b9b-4031-9fa3-fbdfea2c5d95 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T18:58:04.767788Z

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=2026-08-06T18:58:04.695341Z digest=sha256:46a0724179339c5137f797de8b2a98832b07e82b55af1d29617a28d93f18700d

Observation dc5bd917-d71d-43ae-ad4b-2704f9062ed3 · outbound

This paper cites Doetsch, Handbuch der Laplace-Transformation, Band I, Theorie der Laplace-Transformation, Birkhäuser, Basel, 1950.

Asymptotic properties of zeros of Riemann zeta function Doetsch, Handbuch der Laplace-Transformation, Band I, Theorie der Laplace-Transformation, Birkhäuser, Basel, 1950

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:04.962561Z

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=2026-08-06T18:58:04.701480Z digest=sha256:639f2b1b99d60e47efddfa78801a1e0b1db009d3653fdf1f5d0912582da5374c

Observation 136ba613-1e37-4b0d-9c2c-e5eefc28579b · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:04.947339Z

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=2026-08-06T18:58:04.706119Z digest=sha256:bc7e7229ba8e3c4ed285259635c456aeed6744f224bd196e0014fdf879c25a73

Observation 5be9f0fd-6c3a-4662-ab96-7f6e8c99b746 · outbound

This paper cites Hamburger , Über einige Beziehungen, die mit der Funktionalgleichung der Riemannschenζ- Funktion äquivalent sind, Math.

Asymptotic properties of zeros of Riemann zeta function Hamburger , Über einige Beziehungen, die mit der Funktionalgleichung der Riemannschenζ- Funktion äquivalent sind, Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:04.932608Z

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=2026-08-06T18:58:04.710709Z digest=sha256:3661981ab39a8204b1ab2ad10c0fce42ba29ddb062d850e1bda66a35cf0acae6

Observation 53aaee3a-c5d5-4789-8898-b54a071f62e2 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:58:04.916395Z

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=2026-08-06T18:58:04.715228Z digest=sha256:de90958779da5b0ad933d4f0783995562df068cd6ce6833031d011021d7b0a60

Observation e33bcf8d-9b50-4ea8-8c49-6ef2bcf343f2 · outbound

This paper cites an unresolved cited work.

Asymptotic properties of zeros of Riemann zeta function Unresolved cited work

Reference 11

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T18:58:04.850108Z

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=2026-08-06T18:58:04.719538Z digest=sha256:5c972406172ab3ec0b3703c43758955a9baeee305ce8cfcd68898428eaa5eac8

Observation b9904e18-edfb-4b76-bfc3-f4e1ed819064 · outbound

This paper cites Meyer , Measures with locally finite support and spectrum, Proc.

Asymptotic properties of zeros of Riemann zeta function Meyer , Measures with locally finite support and spectrum, Proc

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:04.900333Z

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=2026-08-06T18:58:04.723710Z digest=sha256:50e0f8e56a30999c80cad85e00185a5649526587359187738ccc3bce48ed1d81

Observation e9ee8f9c-d202-497b-9dc2-49aeeeff1c3c · outbound

This paper cites Voros, Zeta functions for the Riemann zeros, Ann.

Asymptotic properties of zeros of Riemann zeta function Voros, Zeta functions for the Riemann zeros, Ann

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:04.884700Z

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=2026-08-06T18:58:04.728283Z digest=sha256:5da8337a714499cdcf30bc293a01b108419ddf4aa716c2ddefcc0f5f5a6a532b

Observation 3c3a7139-eb70-47a9-b1c4-b48a9791a1c3 · outbound

This paper cites Voros, Zeta Functions over Zeros of Zeta Functions, Lecture Notes of the Unione Matematica Italiana, Springer-Verlag, Berlin, 2010.

Asymptotic properties of zeros of Riemann zeta function Voros, Zeta Functions over Zeros of Zeta Functions, Lecture Notes of the Unione Matematica Italiana, Springer-Verlag, Berlin, 2010

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:58:04.868370Z

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=2026-08-06T18:58:04.732724Z digest=sha256:a43f084817b57e752b891d9f53f28ffac8754be7b3e7a65ce73cb81aabb56f97

Pith citing papers

No inbound Pith citation observations are available.