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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=sha256:628d2754c3758ba97468d401d57cea05a07e54522fe10f39dafa301d17f45b23

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=sha256:46d632c686008368b0cdd5a5689aba88e2e3753500e024b1f797660d3a8bb809

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=sha256:3216be6b0c2a79dbf1b9f3f890a534056c82ea402611f81eb795f06fb22274f0

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=sha256:95c6bf8895cc06ddae01552b32e53cb71634736b13f303aa8002cfa9eb1e6ff3

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:a67171917280f11dec16e64c57d749e29db9b5682e23eb967479659c62e3acb3

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:acbe68c0afae0d80f73b355503057f5a4ecf286d294f82cdbba4b70bffd3cc05

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:afbd3cb1132dc1e25de57403eb070f5f2ec86f6d42415b02372f41ea52208d06

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:e732ca67132305382070824683dc1b10135db0bbf4c7ffa14a865c52c4734bc4

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:b2cc6550a9b98b4b3c386c4754c192ddb932a9246768ee255306e1f23492486c

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:d36e5f22ab0335fa2085f638de47ecc4de77699a35446f99399d375426c01679

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=sha256:6889ea527ad3e1e07636a2de6201928cb2e95fdfdc7e0444dc54a073e3867014

Pith citing papers

No inbound Pith citation observations are available.