Paper Citation Record · LEDGER

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics

As of 17 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2601.17358.

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

pith.paper-citation-record.v1
2601.17358 v5

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:29:44.040041Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T00:43:39.480584Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 91bf3ea2-e714-40db-9f70-afc344feae4f · outbound

This paper cites Artin,The Gamma Function, translated by M.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Artin,The Gamma Function, translated by M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:06.930179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e65db112-c894-452b-b394-2f7f72c148d2 · outbound

This paper cites On the relevance of the differential expressions $f^2+f'^2$, $f+f"$ and $f f"- f'^2$ for the geometrical and mechanical properties of curves.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics On the relevance of the differential expressions $f^2+f'^2$, $f+f"$ and $f f"- f'^2$ for the geometrical and mechanical properties of curves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.035271Z

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Observation fa4672a4-4540-4358-9617-de40edc49cfb · outbound

This paper cites An Elementary Proof of a Remarkable Relation Between the Squircle and Lemniscate.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics An Elementary Proof of a Remarkable Relation Between the Squircle and Lemniscate

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.166426Z

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Observation f3963e2a-1651-40bf-9b29-73fea0e01afd · outbound

This paper cites Goldstein, C.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Goldstein, C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.342959Z

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Observation 659066ce-7059-4c17-ab39-8bc8acc086ad · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.497247Z

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Observation 39e84879-f019-41ec-8991-e3d2f4061982 · outbound

This paper cites A Geometric Interpretation of an Infinite Product for the Lemniscate Constant.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics A Geometric Interpretation of an Infinite Product for the Lemniscate Constant

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.729091Z

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Observation e7d94d3b-7c1d-4061-bd08-301a71c2f9b8 · outbound

This paper cites A Wallis Product on Clovers.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics A Wallis Product on Clovers

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:07.902802Z

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Observation 63040e51-ca35-4386-a4eb-cd073e7b3981 · outbound

This paper cites (1818).Examen des diff´ erentes m´ ethodes employ´ ees pour r´ esoudre les probl` emes de g´ eom´ etrie.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics (1818).Examen des diff´ erentes m´ ethodes employ´ ees pour r´ esoudre les probl` emes de g´ eom´ etrie

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:08.014203Z

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Observation 55cec069-53c3-4db5-9c3a-c855da8c0d9b · outbound

This paper cites Dennis.A Catalog of Special Plane Curves.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Dennis.A Catalog of Special Plane Curves

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:08.062323Z

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Observation 5fc10f8f-ccab-4ce8-93ff-dec2e3594695 · outbound

This paper cites London, 1720./external-link-alt.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics London, 1720./external-link-alt

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:08.097830Z

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Observation 2488f7e5-5a68-4660-a8e1-4ab248385274 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:08.150051Z

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Observation 470a7b1b-e234-4b19-beea-08dbd99143e5 · outbound

This paper cites (2022).Squigonometry: The Study of Imperfect Circles.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics (2022).Squigonometry: The Study of Imperfect Circles

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:08.231477Z

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Observation c20fbb43-5b56-4419-9902-d9a016325e29 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:43.841043Z

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Observation 4a358291-fb4c-415e-9318-4b273bb176ec · outbound

This paper cites N.(1978),A Course of Modern Analysis,Cambridge University.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics N.(1978),A Course of Modern Analysis,Cambridge University

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:43.985335Z

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Observation 64fd3cdb-9aa8-47c1-9f0e-7844947cede1 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:43.991426Z

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Observation 532a2191-639c-4dc8-94c2-b7589753a180 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:44.008869Z

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Observation 6ad91c91-3ae4-4788-9c62-ef6c2cdbbd35 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:44.018291Z

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Observation 5e8ce404-8616-4666-a401-36afe3d603bf · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:44.032428Z

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Observation ee99f4ef-4014-4dd9-a3ad-f7c61894e137 · outbound

This paper cites an unresolved cited work.

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T08:29:44.040041Z

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Pith citing papers

Observation 121697ab-14b1-47a5-9ab8-36536df83fc7 · inbound

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses cites this paper.

Hypergeometric Series Representations for the Perimeter of Lam\'e Superellipses Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-13T00:43:39.480584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.