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Paper Citation Record · LEDGER

On the intersection of Cantor set with the unit circle and some sequences

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.16510.

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

pith.paper-citation-record.v1
2507.16510 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:19:35.962720Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e6798b6d-f55b-4bc5-ac28-faa982043c45 · outbound

This paper cites an unresolved cited work.

On the intersection of Cantor set with the unit circle and some sequences Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:19:38.200897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 49511232-0935-4504-b375-010770059734 · outbound

This paper cites Ergodic Theory of Numbers.

On the intersection of Cantor set with the unit circle and some sequences Ergodic Theory of Numbers

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.189137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 8c601f56-2ee3-45e6-b0c2-44c3293b3e30 · outbound

This paper cites Rational and non-trivial solutions to some algebraic equations in the Cantor sets.

On the intersection of Cantor set with the unit circle and some sequences Rational and non-trivial solutions to some algebraic equations in the Cantor sets

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.177083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e2bea86e-7f27-4325-a306-671c8ff187c9 · outbound

This paper cites Fractal Geometry.

On the intersection of Cantor set with the unit circle and some sequences Fractal Geometry

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.164314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:34.966698Z digest=sha256:63b0c3106ffd3134059e54e18aaa2e95202ae7a1ff9457c1af5b0044647e26ed

Observation 6fb8e14f-1b83-4156-9ea7-6fc2fff03546 · outbound

This paper cites An introduction to the theory of numbers.

On the intersection of Cantor set with the unit circle and some sequences An introduction to the theory of numbers

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.151420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.056088Z digest=sha256:d7b5ceeb278362475febaf0ce1c49823150ac4894fdc90391189c02e75a6d54a

Observation 0fccf00c-6d58-48b8-b8cd-b48e33474417 · outbound

This paper cites Fractals and self-similarity.

On the intersection of Cantor set with the unit circle and some sequences Fractals and self-similarity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.135078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 949a35f8-f09e-4cec-bdc6-20b97a41cc5f · outbound

This paper cites Rational points in transla- tions of the Cantor set.

On the intersection of Cantor set with the unit circle and some sequences Rational points in transla- tions of the Cantor set

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.122747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4dc9741f-6fea-4c6b-9d40-e297284a1762 · outbound

This paper cites Rational reciprocity laws.

On the intersection of Cantor set with the unit circle and some sequences Rational reciprocity laws

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.108954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.266830Z digest=sha256:1ab42ef2ab4210e8cf0e4313f7a8ee607e8ede753727995ea0bf75a035304e93

Observation 71a9d565-9406-49d2-80b0-606a511f81cb · outbound

This paper cites Rational numbers in ×b-invariant sets.

On the intersection of Cantor set with the unit circle and some sequences Rational numbers in ×b-invariant sets

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:38.089930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.312266Z digest=sha256:0e4e6dc06f3c52b2bf981bbe3c79d765bc7abaee7308d8bd0a77ca3963e3356f

Observation e5efe1de-8f15-42d4-883e-8a5549e24dca · outbound

This paper cites Geometry of sets and measures in Euclidean spaces.

On the intersection of Cantor set with the unit circle and some sequences Geometry of sets and measures in Euclidean spaces

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:37.831437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f88bdfb8-dbed-4a8f-81b2-34ff29cd7c5c · outbound

This paper cites Rational points in Cantor sets.

On the intersection of Cantor set with the unit circle and some sequences Rational points in Cantor sets

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:37.571661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.450650Z digest=sha256:aacb1266df0d0af6bc1d70386f680db44cd1a8ed3c27d2f3fd4368768d5ca4e7

Observation c1a11522-a4a2-4fdb-8488-eaec7a669c81 · outbound

This paper cites On intrinsic and extrinsic rational approximation to Cantor sets.

On the intersection of Cantor set with the unit circle and some sequences On intrinsic and extrinsic rational approximation to Cantor sets

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:37.288160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.541037Z digest=sha256:dd35e37b7c72293089549fbfd79f0e38269ac7ecffc65cfb94abc0c10beeb450

Observation 0b609199-d814-4932-94ad-aa32d5e49ea4 · outbound

This paper cites On Furstenberg’s intersection conjecture, self-similar measures, and the Lq norms of convolutions.

On the intersection of Cantor set with the unit circle and some sequences On Furstenberg’s intersection conjecture, self-similar measures, and the Lq norms of convolutions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:37.063613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.612645Z digest=sha256:04eed634f4fe7116e36e1ab078fbfd25529164ffb121f49382fd5fbdf9c854f0

Observation 92e905ab-8d5b-4768-979a-0e95553738a5 · outbound

This paper cites On the arithmetic structure of rational numbers in the Cantor set, Bull.

On the intersection of Cantor set with the unit circle and some sequences On the arithmetic structure of rational numbers in the Cantor set, Bull

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:36.724304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.724357Z digest=sha256:3488759f6447ecfd593c8adcb67f04bb714c7909bdc1f94cd45851c7ccc348fa

Observation 60095bf9-1df5-4a04-9417-74fea8bf25d7 · outbound

This paper cites Terminating decimals in the Cantor ternary set.

On the intersection of Cantor set with the unit circle and some sequences Terminating decimals in the Cantor ternary set

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:36.499177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.790847Z digest=sha256:059ea6e09d412e2ce5469ac0eaf46a8cc0eacf0c384d76a1b2140637601cbcdb

Observation 4e44cdad-457e-4657-a311-ea50e55ebcd4 · outbound

This paper cites A proof of Furstenberg’s conjecture on the intersections of ×p- and ×q- invariant sets.

On the intersection of Cantor set with the unit circle and some sequences A proof of Furstenberg’s conjecture on the intersections of ×p- and ×q- invariant sets

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:19:36.335005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T15:19:35.898283Z digest=sha256:6a6903198ca2f05c8f3b6b2724e2de73d6d0a18bc9edd576e1456f34a4afd1ef

Observation 1faabc56-708f-43d0-a90c-484896eea0d4 · outbound

This paper cites Missing digits points near manifolds.

On the intersection of Cantor set with the unit circle and some sequences Missing digits points near manifolds

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:19:36.164552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.