Paper Citation Record · LEDGER

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2602.20313.

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

pith.paper-citation-record.v1
2602.20313 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:26:12.682955Z

measured 18 of 18 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T20:10:57.482166Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ed3c7cfb-af21-4d5b-a3fe-5e2481dc14f8 · outbound

This paper cites Belton, D.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Belton, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:10.907574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5301a1f-0964-4131-a7cd-596d86873179 · outbound

This paper cites Belton, D.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Belton, D

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:10.989333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae487725-f26d-4670-86d7-d57f54e467e3 · outbound

This paper cites Craven and G.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Craven and G

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.099510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f60a6a1c-a557-4702-9bb0-bc59104923cb · outbound

This paper cites Csordas, T.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Csordas, T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.251865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50032e07-4822-4d3f-8307-fec997dcc51f · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.362166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e49bebfe-e739-46f1-886c-eac7532143eb · outbound

This paper cites Dobner,A new proof of Newman’s conjecture and a generalization, arXiv:2005.05142 (2020).

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Dobner,A new proof of Newman’s conjecture and a generalization, arXiv:2005.05142 (2020)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.486811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c0ba7e0-9d25-4cb8-a3a8-a9442e3021a7 · outbound

This paper cites Gröchenig, J.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Gröchenig, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.613549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0a1897d-5fe3-45c8-a09f-70b04ff5ed23 · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.690538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd18863d-5631-4efb-ae84-0548b1789b25 · outbound

This paper cites Johansson,Arb: efficient arbitrary-precision midpoint-radius interval arithmetic, IEEE Trans.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Johansson,Arb: efficient arbitrary-precision midpoint-radius interval arithmetic, IEEE Trans

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.785341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f3b40e8-ca62-4b0e-b019-f9b2a4091a34 · outbound

This paper cites Karlin,Total Positivity, Vol.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Karlin,Total Positivity, Vol

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.869924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89f9915d-7cf3-45e5-bb47-a89da12cb748 · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:11.986113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2c0d74c-1bff-497c-9cd5-9810f4da4cdb · outbound

This paper cites Ki, Y.-O.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Ki, Y.-O

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.054187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 369c194f-2419-46f5-ac20-d155de04bbd2 · outbound

This paper cites Johansson et al.,mpmath: a Python library for arbitrary-precision floating-point arith- metic (version 1.3),http://mpmath.org/, 2023 (accessed February 2026).

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Johansson et al.,mpmath: a Python library for arbitrary-precision floating-point arith- metic (version 1.3),http://mpmath.org/, 2023 (accessed February 2026)

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.176074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c4d04b7-c9aa-4b8f-b343-732d9509c9da · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.289501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db3e5468-7b39-47c2-98d0-17e1d3be979e · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.398124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e306724-54ea-4634-bab7-5f39b849921c · outbound

This paper cites Rodgers and T.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Rodgers and T

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.529636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c5d5300-4ebb-4fed-aece-9a910b68e2ac · outbound

This paper cites an unresolved cited work.

On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T21:26:12.682955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation c9aa2378-9042-44e2-ae19-61789a46b057 · inbound

An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients cites this paper.

An explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficients On the P\'olya Frequency Order of the de Bruijn--Newman Kernel: Certified Failure at Order Five

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T20:10:57.482166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.