Paper Citation Record · LEDGER

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue

As of 11 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.14515.

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

pith.paper-citation-record.v1
2607.14515 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:10:28.174257Z

measured 30 of 30 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

30 of 30 outbound references displayed

verified exact0
verified fuzzy0
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b9216e6-32d3-459f-80a6-ec3275fd9d52 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.552278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7a8fbe3-362c-4048-8289-718a24094109 · outbound

This paper cites Bach and J.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Bach and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.613931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1779c847-07e3-46ca-81cb-5dacd2b2d17d · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.697837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fba948e-e7c2-476c-9674-f2cf66cb3891 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.779083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8877db2-fc33-4f25-883c-28ab44ecfa05 · outbound

This paper cites Davenport.Multiplicative Number Theory, volume 74 ofGraduate Texts in Mathematics.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Davenport.Multiplicative Number Theory, volume 74 ofGraduate Texts in Mathematics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.881753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2003f0c-42ed-4a4e-83e7-c6c879b3ba87 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:25.964228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7c132ad-f63e-4c9a-80ab-4b72ad19f9d5 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.045022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 390e8cef-00cb-4aea-8dab-343ba9f1246e · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.128112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fffde7e-ef1a-479d-9d62-651ba0296ab0 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.207304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5292932-6c7d-4cac-bf8a-8c9e852a9fbe · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.291224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d927d2e-d511-40a1-9bd9-049341f9a4f3 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.374636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c029ad7-4a77-47a3-a373-f162468de06c · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.479200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95ce10c7-ecdf-4654-84d9-de5706715269 · outbound

This paper cites Kandhil, A.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Kandhil, A

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.554561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92685960-008d-4815-baf9-92bfdbc36565 · outbound

This paper cites Kumar Murty.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Kumar Murty

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.613813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2abf64e5-0c88-4ebe-b9db-6e69aba6f58b · outbound

This paper cites Lamzouri, X.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Lamzouri, X

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.700787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f8d326a-2662-464a-b08f-47e3db26d0f1 · outbound

This paper cites Conditional bounds for the least quadratic non-residue and related problems.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Conditional bounds for the least quadratic non-residue and related problems

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.752615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82dafa76-f759-497c-ba5e-0fb301039e1b · outbound

This paper cites Landau.Handbuch der Lehre von der Verteilung der Primzahlen.Chelsea Publishing Co., New York, 1953.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Landau.Handbuch der Lehre von der Verteilung der Primzahlen.Chelsea Publishing Co., New York, 1953

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.829454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b4af3f-e46f-4527-9bf6-b3df2a9668af · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.910710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b289d2b9-0efd-4d22-b5bb-92e37316f5f0 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:26.988675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d377228e-f9d4-4a98-ab11-9492a0313d85 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.089403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b06cd1b-f778-43f4-8afd-550effc11fba · outbound

This paper cites McGown and E.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue McGown and E

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.198889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc5ead4d-f9b3-4ed4-93d1-fc11b37d4cdb · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.305639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 190af1e7-0048-43eb-96e4-72532ac9b1fb · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.413323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d8e3dda-d4ac-4317-b5d2-8c056006a87d · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.525538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 338b107b-a1df-4e99-b5e4-a16174017d38 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.640417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4f9c6e8-71d1-4017-bf29-655aef5c2aa8 · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.733540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19752cd3-c969-4fd4-917d-e59e7b2bdafa · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.838165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f95382e4-a120-437a-a3d9-a649641b646c · outbound

This paper cites an unresolved cited work.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:27.962777Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0212101-51aa-4273-a066-7d64b0c302a3 · outbound

This paper cites Xylouris.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Xylouris

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:28.062474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31a6cf0b-72e9-46bb-a719-b470039b7f83 · outbound

This paper cites Xylouris.

Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue Xylouris

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T02:10:28.174257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.