Pith. sign in

Paper Citation Record · LEDGER

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law

As of 14 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.02676.

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

pith.paper-citation-record.v1
2608.02676 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:15:42.388101Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy20
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 37d2cc8d-5073-48fa-a799-6431fb28973d · outbound

This paper cites 1687 , note =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1687 , note =

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:46.825559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.676650Z digest=sha256:c524fb60179014b947eb3b61ef0696d8c10c12414e0e6f792f7444ac0d69ef5b

Observation 0700cd7e-7972-4942-87e6-cf12cfef0007 · outbound

This paper cites 1846 , note =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1846 , note =

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:46.629892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.743260Z digest=sha256:7a91e1734f5ebb52f980ce33657c197ffa17b55d8dfedceca462f375fe4a6c1e

Observation 8ea308b1-0d15-4f52-9669-cb0a0a18d14d · outbound

This paper cites 1934 , url =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1934 , url =

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:46.500583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.843384Z digest=sha256:3cc92d3cfa03563d86c2c384a7426b51a6ecf3dce8c4b262ce5f8d32ec5257aa

Observation fed148e3-af92-4479-96e9-fa067c6b526d · outbound

This paper cites 1995 , note =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1995 , note =

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:46.350209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.939069Z digest=sha256:250ed3475003494e8bbb222bed8600dc5aac86301aac326ff7d356dd5fcac623

Observation 5f60a97d-77e2-4f2e-98ef-3271ea08849b · outbound

This paper cites , title =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law , title =

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:46.152529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.062439Z digest=sha256:614ecc73645b9d2e67014334c534b04fcf48bf5500a1defdaa1b2ec95f685c0d

Observation 146133f1-9ec3-4d64-b72f-f985d589d46d · outbound

This paper cites Expositiones Mathematicae , volume =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Expositiones Mathematicae , volume =

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.962226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.144436Z digest=sha256:c5c1c1eb3a4f67480c17406588c5c4f574f26fb027b97c90e18f6a1883b28172

Observation a188a911-02f5-481e-bbaf-97956a825f39 · outbound

This paper cites 2021 , eprint =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 2021 , eprint =

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.765835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.222162Z digest=sha256:0a56c5c22c59707f4049e4d3ab9299ca66ea3aacf4d48d557e34fd7ddd6db1c2

Observation 083d8cbb-9dab-4d3b-8d18-c5c1cc539d9a · outbound

This paper cites 2008 , eprint =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 2008 , eprint =

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.596574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.286795Z digest=sha256:3a3abe7fd43181a9325e6410f8018923ea3a02e751a305c13681ce3fbcc37246

Observation 6b9ce762-1ee8-44d9-b6df-00128c776855 · outbound

This paper cites and Goodstein, Judith R.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law and Goodstein, Judith R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.366773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.350684Z digest=sha256:5afd3b8e993cef39ea27850c7c38baca978fcf3fe01ff7bf46d04bea51c0c28a

Observation 53cbe221-b8a8-4bd8-9416-11c0ca467308 · outbound

This paper cites The Mathematical Intelligencer , volume =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law The Mathematical Intelligencer , volume =

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.170553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.432353Z digest=sha256:12120485cf13340a82599b9b3711a49a323312a9c929b194583c056c48bf4857

Observation 44444d86-bb4c-4775-a42c-16488191d995 · outbound

This paper cites 2006 , note =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 2006 , note =

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:45.010729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.518182Z digest=sha256:347a0262153fbf7c2a6f1eadc6b149860d3d908a48bf3535ecf6435c89fc6e40

Observation 9df509eb-1a08-426c-a07e-2462ff4f4dfd · outbound

This paper cites Historia Mathematica , volume =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Historia Mathematica , volume =

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:44.809280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.582701Z digest=sha256:dca56becffe2ceeadae79c71434a5d5544ab3fece2f46d4b5fc36b460bb0aa7e

Observation 8107cf04-406f-44de-8a54-613db624ac05 · outbound

This paper cites 2012 , url =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 2012 , url =

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:44.557833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.641693Z digest=sha256:ddf3dbd51f27dd1d28900b8b0fe19b6157bd8047268d774e07512181888dc4ea

Observation 186b785a-8910-4404-a704-da65c4d0b75b · outbound

This paper cites Bruce and Newton, Isaac , title =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Bruce and Newton, Isaac , title =

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:44.194423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.723393Z digest=sha256:68c3509f8ef1c8f5b39cdf2ca14f23f9e56e742dbba8f3b0274a63413938958c

Observation 007d3ddb-024e-42d2-b722-764299500371 · outbound

This paper cites 1999 , doi =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1999 , doi =

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:43.892561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.813986Z digest=sha256:1e8d7310aa473c0ad634db76bc356344cd80b2fb9aebe2e402828666883e04a4

Observation 775c0803-c177-48de-801b-1763664ac299 · outbound

This paper cites 1877 , url =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 1877 , url =

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:43.561418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.882726Z digest=sha256:e8f9eda213d7111465faa24aa6a4bd57d29e8a5e52253efbc93ea381ea1a87a2

Observation 97096709-c7d2-498a-9a4c-5af92db4202a · outbound

This paper cites American Journal of Physics , volume =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law American Journal of Physics , volume =

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:43.301922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.938469Z digest=sha256:b0019afd77cea5332d832e25ca037e9ec00874d42bff557a80fe7b42cb56a4fc

Observation b3cfe3ef-88e4-46b6-82aa-efecdd77db6a · outbound

This paper cites Proceedings of the Royal Irish Academy , volume =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Proceedings of the Royal Irish Academy , volume =

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:43.112104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.039794Z digest=sha256:0ca8d4c6ab86357dc79904c6f789da9049e6ba2e6f1607675e32680b24aa959a

Observation 9bb91369-ef78-4ffb-a4ee-526b80521056 · outbound

This paper cites an unresolved cited work.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:15:42.941666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.132765Z digest=sha256:ac63d955c2b303e807ef9a814bae39f376586ee331f4f6f4ad1d0f3a6255f343

Observation 53324acf-d77e-4b66-876f-d4a62e492ecd · outbound

This paper cites From Circular Paths to Elliptic Orbits: A Geometric Approach to.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law From Circular Paths to Elliptic Orbits: A Geometric Approach to

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:42.824967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.228878Z digest=sha256:cc3b61b6536dcf4a7d036b87882cff28218375cb3664af5d827186fa695b2ce4

Observation a4dc33c3-2612-4144-a950-ee723631dd87 · outbound

This paper cites an unresolved cited work.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:15:42.680352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.292355Z digest=sha256:2368ae0c0e22ed2af10e04b440f570859294384ee337a311043daf4b07779c2e

Observation 51d975ec-e603-4899-af6d-238dd78d61a7 · outbound

This paper cites 2026 , howpublished =.

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law 2026 , howpublished =

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:15:42.556282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.388101Z digest=sha256:1cbfefd41466d53abe90853c47d00d4e995a7085aadcbffd8dac4ed0bbca02b8

Pith citing papers

No inbound Pith citation observations are available.