Paper Citation Record · LEDGER

The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$

As of 11 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2607.28931.

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

pith.paper-citation-record.v1
2607.28931 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T17:06:18.101067Z

measured 4 of 4 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

4 of 4 outbound references displayed

verified exact0
verified fuzzy0
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00263b7c-7800-4690-b200-d0cd11878afb · outbound

This paper cites Aoki and S.

The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$ Aoki and S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T17:06:17.962963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1d5ffc3-d42d-4214-aae3-353998f0208e · outbound

This paper cites Feuerverger and G.

The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$ Feuerverger and G

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T17:06:18.010503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e64696c-6b1e-420d-b7e9-8f1fbd83e0f5 · outbound

This paper cites Iwaniec and E.

The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$ Iwaniec and E

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T17:06:18.056185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92259d3c-39a1-4bdc-9d0d-a6a56f03ed78 · outbound

This paper cites Rubinstein and P.

The Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$ Rubinstein and P

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T17:06:18.101067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.