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Paper Citation Record · LEDGER

On the Fractional Parts of Polynomials Modulo $p$

As of 12 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2607.21259.

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

pith.paper-citation-record.v1
2607.21259 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:12:35.485551Z

measured 9 of 9 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

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff1ebeb8-7cda-4b4b-badf-a57a54bb4ecd · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:34.434266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:34.434266Z digest=sha256:21b15e9da6178dbe00f9c7ee106577c333f87f10bc2f43c2c486060c8a4fca5a

Observation f570bd7e-4636-402c-88fa-d4428865c880 · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:34.538285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:34.538285Z digest=sha256:61dbd0244c5aa3fbebe4955f06a6102a96887c5e9be8c232e550e1e201322b36

Observation f45db83f-2a2a-430c-84a8-5f5e91c4d710 · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:34.710934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:34.710934Z digest=sha256:6dcf7a6b36036c366e1c1509d3759b27a860145270f58a8e85e48c1e4be99de2

Observation e256a3f8-1062-4067-aa34-749f15840470 · outbound

This paper cites Lidl and H.

On the Fractional Parts of Polynomials Modulo $p$ Lidl and H

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:34.886745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:34.886745Z digest=sha256:b7a52467e214489a419e127265444eaa0ade9d9784528b0d84084bef0f649f80

Observation b0ac5dd2-c689-423a-905e-d95677ab187c · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:35.037308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:35.037308Z digest=sha256:b75fdf9e2d7a91626bdb01c4824904fb9338d6cee5d607488e052317a71dff85

Observation 41f079e7-86e9-4e28-92ff-a4ec01c46dc8 · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:35.167824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:35.167824Z digest=sha256:2ed707ff29333b730d9dc6f8dbfdbb21b04e10b3fe0eff5068bc8dbbbefbb6ba

Observation 2fff049a-35b9-4909-a328-ec924300f850 · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:35.264742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:35.264742Z digest=sha256:70123b525af24b71dcd1c17527bae88a93682d21456a0d1308f0fc9701a68f54

Observation 158076cd-9e09-4891-97a2-5955b1c36c7e · outbound

This paper cites an unresolved cited work.

On the Fractional Parts of Polynomials Modulo $p$ Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:35.363501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:35.363501Z digest=sha256:8d67737d863e2e4d018a7b9940609da09f7e474fa9e93297af9ead229a6ffb97

Observation a1e1daab-d36f-4a8e-83bd-c92ee783b8b2 · outbound

This paper cites Weyl, ¨Uber die Gleichverteilung von Zahlen mod.

On the Fractional Parts of Polynomials Modulo $p$ Weyl, ¨Uber die Gleichverteilung von Zahlen mod

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T08:12:35.485551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:12:35.485551Z digest=sha256:3a96160eeda105132d7445239f15cc4a140d756828d432468d9a47058570a6b7

Pith citing papers

No inbound Pith citation observations are available.