Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.676650Z digest=sha256:c7ecab9d9f0e6575447aa8404da366731771f211fc330e9f5d36c1c1c565a1b2

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.743260Z digest=sha256:e5114db1dbade2fa919b350eeec7c4848b950fba6f2de27d12d9b9f387c3cb32

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.843384Z digest=sha256:4c70bde3c0180341543232ab1c2b88efd389db21f5165a04d070b715ea9c0f1a

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:40.939069Z digest=sha256:440cc40e25636078591634fcde98368e92d7caa8a39085eb2996919d03387fb7

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.062439Z digest=sha256:28e0680f743863ee693dbe2fa18e9395f6d88edb526a5260a64334fedfaee2dc

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.144436Z digest=sha256:15cd9d68ddd1fbb353a3abd3cc5436e3002f6a89ce0f5ba8b52b9946e43c23c3

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.222162Z digest=sha256:b8402ed8037faa97154702280d1f565dc5382cafd03302295524fe0e11995e4d

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.286795Z digest=sha256:832d5ff4ecb22ab932608fc00634f808e179c79985928e2b8e0d2e765f21b252

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.350684Z digest=sha256:b28459356390b7f25b192516acdf40cf3d3925e8984e1ba31aa885bde7dae2f8

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.432353Z digest=sha256:eef696854769640a45efd3949c37c96a702a7b9d92775674334b096e0718e52c

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.518182Z digest=sha256:39aebf9bd142505cc5f005aefd329de69f20b30c5a33dbba26f4933501754745

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.582701Z digest=sha256:a4907b4b130047e531a87d76344ac46232396f78ca716ea1d6318e6081c22ea8

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.641693Z digest=sha256:12a2c05c5ee8b6a596cc39eca0a761141ec8af799add1d4c1430c032ade75049

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.723393Z digest=sha256:3564cf3c766a1befcd41d95e8971f1a5bb7122732722e4c07a1465f38f48f8f5

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.813986Z digest=sha256:87a1b035fc3743a881679b442d9539bca6e1b89e062b98eb6f276203e106d1a0

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.882726Z digest=sha256:3dd1aec6148e47cc82b3637a1f88f955333588404d43fd1ef2dd2b7c21e0c942

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:41.938469Z digest=sha256:cb8b5b7e70fd023622d28bb7869b6dba53a965f5d46e7711f72b94542de85e4e

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.039794Z digest=sha256:2e608945cc7295996f107c943ddbd44942dc58646e0443916b5a6bbd91662fd9

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.132765Z digest=sha256:2d53656f9e81b5d36377b13ff1df398e21dd69e80ef4e0cf7ed49fe1d500951f

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.228878Z digest=sha256:f50d93d0d96acc7e2ca5eca5ae22c81c2b6ead8c8ee24e4ce929cf40d37db41d

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.292355Z digest=sha256:61cf1a9197b0aeb5c2a336d0c261aa7f57e728f1aa0e736d24e0bd6989051a75

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T00:15:42.388101Z digest=sha256:0f0ab06f19dbf6a01ac7d8f61d4ecca700bf0c4aa6be5b196f2a6168bb904240

Pith citing papers

No inbound Pith citation observations are available.