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Paper Citation Record · LEDGER

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2603.08994.

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

pith.paper-citation-record.v1
2603.08994 v5

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:39:20.248170Z

measured 11 of 11 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

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7cae5d20-b051-4630-84f6-40b23a609dc9 · outbound

This paper cites an unresolved cited work.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.191827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.191827Z digest=sha256:f4d64c759c967e69558cf74408be2ee53bdb2b0a9952350d61fe1e1dc3240724

Observation 2f14d790-b7d7-416c-830c-0377f9702e6b · outbound

This paper cites an unresolved cited work.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.291925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.291925Z digest=sha256:16a0b50cc13227021c76a69527046a5b1380ee6fa1f648b8899ccf2f60b32e44

Observation 6bea3359-d742-4d77-9b4d-bf55ff9464f9 · outbound

This paper cites Zsigmondy, Zur Theorie der Potenzreste, Monatshefte für Mathematik und Physik 3 (1892), 265–284.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Zsigmondy, Zur Theorie der Potenzreste, Monatshefte für Mathematik und Physik 3 (1892), 265–284

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.397215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.397215Z digest=sha256:d592a0a3aa82137dfa0aae6d72ae40f4a12eb1c1ca9b9594708ade2396c6ce4e

Observation adccc066-3edc-4ff6-949f-0a508aa07775 · outbound

This paper cites Ireland and M.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Ireland and M

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.494134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.494134Z digest=sha256:d770e6a7846ae12dda51fb37b690d1fa7940d2f65730f5d8e35871a80fa10aa6

Observation 5d30c1a5-6126-4fbf-833f-4663db709464 · outbound

This paper cites an unresolved cited work.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.580181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.580181Z digest=sha256:8bc05d71f71692cdfa3130bbdaaf888fa5fe8eba09c25e7b0cb18cd9a59ecc00

Observation 65a86fb9-1bb7-4406-89b3-4eeb603c29f1 · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Graduate Studies in Mathematics, Vol.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Graduate Studies in Mathematics, Vol

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.669210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.669210Z digest=sha256:ba3d4e8e98a03eae49afdf4a384b26b6840e95c40289759de496666a1cb02821

Observation 0bfe4bf1-5e42-48df-bd09-2c3b5f2966c1 · outbound

This paper cites Crandall and C.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Crandall and C

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.759202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.759202Z digest=sha256:f4b25a7a9a8e721b1aacab5a13f47a738170dcd8d10fd345a47f088d169d514c

Observation b9e0436c-1f96-4e97-ab9d-f48f2354bf7d · outbound

This paper cites Erd o s and M.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Erd o s and M

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.855363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.855363Z digest=sha256:8003cfd7a9dd7e3f9373b4f72d4324384bf910cca3dc513bf85cf4b5028d4a00

Observation 9c227bef-f254-46ac-a594-0a2b8041ee17 · outbound

This paper cites an unresolved cited work.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:19.965024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:19.965024Z digest=sha256:5d7e6d82ed496fdd63e98c6218cae1c73839ea706ff5c279a0b78589f5ca4347

Observation aa294b33-6eb4-4717-a165-8089b3953547 · outbound

This paper cites McFadden, Conditional logit analysis of qualitative choice behavior, in Frontiers in Econometrics, Academic Press, 1974, pp.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 McFadden, Conditional logit analysis of qualitative choice behavior, in Frontiers in Econometrics, Academic Press, 1974, pp

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:20.129012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:20.129012Z digest=sha256:a9b2490776196af2a1ebc24203c93c4ef4a172a16347b9947e78db3eca09e215

Observation 7007b27e-6382-4e4e-bd39-4a0b31319763 · outbound

This paper cites an unresolved cited work.

Arithmetic Bias in the Distribution of Mersenne Prime Exponents and the Divisor Structure of p-1 Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-02T18:39:20.248170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T18:39:20.248170Z digest=sha256:1aec873fd077331d59187527d21a73712cf203d464bd94d86a6b84a93ceafe4c

Pith citing papers

No inbound Pith citation observations are available.