Paper Citation Record · LEDGER

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.06823.

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

pith.paper-citation-record.v1
2507.06823 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:04:21.535618Z

measured 20 of 20 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

20 of 20 outbound references displayed

verified exact1
verified fuzzy6
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e65c327d-115d-4e17-af90-47b92b8cc6c4 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:19.198755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 895fbac4-da27-442d-bada-b030133150dd · outbound

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

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:19.288757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0067dfbb-db28-420c-b4ce-0fd9cd728edc · outbound

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

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:24.489014Z

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.

Observation 614eccc2-dcbd-45bd-93dd-bb635eb0ef61 · outbound

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

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, and Caroline L

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:19.509934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12d09b08-7255-48b8-b69d-f4d14e90a5c9 · outbound

This paper cites Brian Conrey.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Brian Conrey

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:24.271345Z

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.

Observation 231f9ce8-836d-4796-9d90-861709de5be2 · outbound

This paper cites Farmer, Steven M.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Farmer, Steven M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:23.994908Z

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.

Observation b14aacb4-bac8-43e9-b490-3b61d1866aca · outbound

This paper cites On the zeros of D irichlet L -functions.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis On the zeros of D irichlet L -functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:23.715728Z

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.

Observation 894228cd-3be6-451c-8850-311d3a187184 · outbound

This paper cites On the zeros of D irichlet L -functions.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis On the zeros of D irichlet L -functions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:23.495618Z

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.

Observation 075f7c49-a463-4960-b0ef-6070db945aad · outbound

This paper cites Goldston, Junghun Lee, Jordan Schettler, and Ade Irma Suriajaya.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Goldston, Junghun Lee, Jordan Schettler, and Ade Irma Suriajaya

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-06T19:04:21.925805Z

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.

Observation 4ee92b25-06a7-4d32-9d9c-73c249716352 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:23.275693Z

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.

Observation 7debb395-52b7-4cbe-abf9-591cc5d297fd · outbound

This paper cites Goldston and Hugh L.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Goldston and Hugh L

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:20.392553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6407becc-cf0f-4bf8-a912-a4f17c25fe0a · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:20.532824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1e94293-2080-4704-a851-36d75e4bfd5c · outbound

This paper cites Lagarias and Brad Rodgers.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Lagarias and Brad Rodgers

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:20.675793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8e67366-84c2-4d07-b56d-4667498d1d41 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:23.027274Z

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.

Observation 91efbf95-7d02-40b4-a4e7-1b909750da75 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:20.885639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc4b0a2e-f155-4513-8d98-c9cf46d3fda8 · outbound

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

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Arithmetic equivalent of essential simplicity of zeta zeros

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:21.030811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d26563d-f5ea-43ee-b4f5-440a7c6b0f86 · outbound

This paper cites Montgomery and Robert C.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Montgomery and Robert C

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:21.164259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e4ca3f9-f135-497d-81ea-8e9ba6cac422 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:22.714360Z

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.

Observation ac7d6a4d-4075-4721-9bdd-8c4b3028e4e1 · outbound

This paper cites an unresolved cited work.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:04:22.521264Z

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.

Observation 3413c58e-2594-4cfb-be3c-e1298c74090e · outbound

This paper cites The distribution of the values of the R iemann zeta-function.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis The distribution of the values of the R iemann zeta-function

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:04:22.295889Z

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.

Pith citing papers

No inbound Pith citation observations are available.