Paper Citation Record · LEDGER

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search

As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.23662.

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

pith.paper-citation-record.v1
2607.23662 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-30T19:19:11.504577Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

28 of 28 outbound references displayed

verified exact5
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f697eeb5-c662-415d-9311-8a7dd8f43e4c · outbound

This paper cites Bach and J.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Bach and J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.393526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 241f0865-ab7a-40c1-a617-2472092cb783 · outbound

This paper cites Baker.Transcendental Number Theory.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Baker.Transcendental Number Theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.398536Z

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Unavailable: canonical work link unavailable.

Observation 1750dd42-1a07-45bb-a6c1-650763b4bb3c · outbound

This paper cites Berger and T.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Berger and T

Reference 3

Resolution: verified exact; doi, observed 2026-07-30T19:20:51.236083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 963ee4ad-cf13-474a-a2e4-e51be272267f · outbound

This paper cites an unresolved cited work.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-07-30T19:20:51.222971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e69d6ec0-0d84-49eb-92e4-fd3af1fcb18f · outbound

This paper cites A local Benford Law for a class of arithmetic sequences.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search A local Benford Law for a class of arithmetic sequences

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.411381Z

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Observation 39fe229a-8e91-4f0b-b96f-0305d53de5f6 · outbound

This paper cites On the Lambert𝑊 Function.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search On the Lambert𝑊 Function

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.416146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e85c0e6c-d1ad-40a8-b66e-0925822da3d5 · outbound

This paper cites The Distribution of Leading Digits and Uniform Distribution Mod 1.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search The Distribution of Leading Digits and Uniform Distribution Mod 1

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.420832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2889cc67-2e2e-47c4-bb0b-446e0002435a · outbound

This paper cites Fang.Certified Safe-Singleton Threshold for Self-Referential Leading Digits.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Fang.Certified Safe-Singleton Threshold for Self-Referential Leading Digits

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.424734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9862af7b-69a1-4198-b431-fff89fcbb907 · outbound

This paper cites Gap Problems for Integer Part and Fractional Part Sequences.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Gap Problems for Integer Part and Fractional Part Sequences

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.428604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61aa62df-399a-4ee5-a305-dd8f41a69028 · outbound

This paper cites On Kurzweil’s 0–1 Law in Inhomogeneous Diophantine Approximation.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search On Kurzweil’s 0–1 Law in Inhomogeneous Diophantine Approximation

Reference 10

Resolution: verified exact; doi, observed 2026-07-30T19:20:51.201336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 26cf4e33-dcd5-4850-8e54-93e3b833a36a · outbound

This paper cites One-sided Diophantine approximations.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search One-sided Diophantine approximations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.437125Z

Source-reported events for the cited work

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Observation 67b015ff-fa4b-46df-90c1-ba5212572fa6 · outbound

This paper cites Complexity of Leading Digit Sequences.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Complexity of Leading Digit Sequences

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.441552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69ed8bb4-665d-4b52-adac-0034d2cf6ff0 · outbound

This paper cites Arb:EfficientArbitrary-PrecisionMidpoint-RadiusIntervalArithmetic.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Arb:EfficientArbitrary-PrecisionMidpoint-RadiusIntervalArithmetic

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.445734Z

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Unavailable: canonical work link unavailable.

Observation 9e97c4a3-e60d-4754-be73-669387551f81 · outbound

This paper cites Computing the Lambert W function in arbitrary-precision complex interval arithmetic.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Computing the Lambert W function in arbitrary-precision complex interval arithmetic

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.449664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdfdf062-9e39-4423-bd30-fec137af1952 · outbound

This paper cites Stieltjes and Other Integral Representations for Functions of Lambert𝑊.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Stieltjes and Other Integral Representations for Functions of Lambert𝑊

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.453734Z

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Unavailable: canonical work link unavailable.

Observation 636371e5-5bb1-4453-8af1-b9b390896c9b · outbound

This paper cites an unresolved cited work.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.457620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b6202d3-63a8-48b4-9223-7b3f302ea5e1 · outbound

This paper cites The Shrinking Target Property of Irrational Rotations.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search The Shrinking Target Property of Irrational Rotations

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.461423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87e51714-2c7f-4341-bb22-5ce68e47f8e2 · outbound

This paper cites On the refined shrinking target property of rotations.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search On the refined shrinking target property of rotations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.465258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37e65f08-4496-4345-bbcc-6e43dff1d1b8 · outbound

This paper cites Kuipers and H.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Kuipers and H

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.469390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a12daae0-c79d-4339-8256-96a6e8af5649 · outbound

This paper cites OntheMetricTheoryofInhomogeneousDiophantineApproximations.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search OntheMetricTheoryofInhomogeneousDiophantineApproximations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.473412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e674532-5753-4fc1-87fe-481846060649 · outbound

This paper cites van de Lune.A Note on a Problem of Erdős.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search van de Lune.A Note on a Problem of Erdős

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.477099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ff2da11-fc83-491b-b50b-42de8e3a0fad · outbound

This paper cites An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers. II

Reference 22

Resolution: verified exact; doi, observed 2026-07-30T19:20:51.170317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c1ae7d21-42b9-479d-8392-06ef56ff5610 · outbound

This paper cites Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.484476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5722ff1-e542-45c0-b62c-6b2e36104e72 · outbound

This paper cites an unresolved cited work.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.488493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 02e24024-0773-49a1-a123-101962cfb4b8 · outbound

This paper cites New Structural Properties of Strings Generated by Leading Digits of2𝑁.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search New Structural Properties of Strings Generated by Leading Digits of2𝑁

Reference 25

Resolution: verified exact; doi, observed 2026-07-30T19:20:51.156073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 73100c98-5211-4a54-b18d-a8f4d13e778c · outbound

This paper cites Gaps and Steps for the Sequence𝑛𝜃 Mod 1.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Gaps and Steps for the Sequence𝑛𝜃 Mod 1

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.496451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a928e44-b91b-44b2-a22c-7dd592971b51 · outbound

This paper cites Logarithmic uniform distribution of𝛼𝑛+𝛽log𝑛.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search Logarithmic uniform distribution of𝛼𝑛+𝛽log𝑛

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.500414Z

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Unavailable: canonical work link unavailable.

Observation 313dc2ca-b893-4b21-8e86-1fca20a348da · outbound

This paper cites On circle rotations and the shrinking target properties.

Self-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified Search On circle rotations and the shrinking target properties

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-30T19:19:11.504577Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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