Paper Citation Record · LEDGER

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2508.10857.

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

pith.paper-citation-record.v1
2508.10857 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:31:00.274622Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

15 of 15 outbound references displayed

verified exact2
verified fuzzy9
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation caf1567e-d819-4658-8ca5-cb5d1699b0d8 · outbound

This paper cites an unresolved cited work.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:31:03.010094Z

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 ca0574b9-9df3-408c-b107-a8216c3ec760 · outbound

This paper cites Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:02.808060Z

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 2ac355a0-2ffd-4433-9c80-472ad9aa1a0b · outbound

This paper cites Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-05T20:31:00.846632Z

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 a690861b-6094-41ec-815a-3c818107f915 · outbound

This paper cites Pair correlation estimates for the zeros of the zeta function via semidefinite programming.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Pair correlation estimates for the zeros of the zeta function via semidefinite programming

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:02.637421Z

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 8a29256a-31c6-4da7-9566-2d453fc20411 · outbound

This paper cites Multiplicative number theory , volume 74 of Graduate Texts in Mathematics.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Multiplicative number theory , volume 74 of Graduate Texts in Mathematics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T20:30:57.607404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 095adff3-b4d4-4cad-a427-7ab6b05bb9b6 · outbound

This paper cites Goldston and Hugh L.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Goldston and Hugh L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:02.469271Z

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 1a569e34-178a-4dbd-8aae-a3277873d307 · outbound

This paper cites L ARGE DIFFERENCES BETWEEN CONSECUTIVE PRIME NUMBERS.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function L ARGE DIFFERENCES BETWEEN CONSECUTIVE PRIME NUMBERS

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:02.301373Z

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 61e81872-f7d0-4b4c-9aa9-872cf7753e1a · outbound

This paper cites an unresolved cited work.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:31:02.174375Z

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 221095a2-5016-45b6-a923-af686f9b6505 · outbound

This paper cites an unresolved cited work.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Unresolved cited work

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-05T20:31:00.566550Z

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 92c8b828-feef-4534-bd62-53ec0e2cd352 · outbound

This paper cites An introduction to harmonic analysis.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function An introduction to harmonic analysis

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:01.955894Z

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 ad0e8242-82f5-435f-8340-fc2acd9f9bca · outbound

This paper cites Languasco, A.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Languasco, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:01.745322Z

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 1660c607-aa09-485f-9f6f-df5a10879fa3 · outbound

This paper cites Lagarias and Brad Rodgers.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Lagarias and Brad Rodgers

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:01.587628Z

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 6eef0b83-e259-4284-ab0a-18bf532960dd · outbound

This paper cites an unresolved cited work.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:31:01.438669Z

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 dc28f481-2c00-4cf8-be23-5c35f089b2bb · outbound

This paper cites Arithmetic equivalent of essential simplicity of zeta zeros.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Arithmetic equivalent of essential simplicity of zeta zeros

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:01.262086Z

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 3cac8f08-0367-41be-9843-c8aca0378473 · outbound

This paper cites Montgomery and Robert C.

The Alternative Hypothesis for Zeros of the Riemann Zeta-Function Montgomery and Robert C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:31:01.058421Z

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.