Paper Citation Record · LEDGER

Definable coordinate geometries over fields, part 2: applications

As of 18 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.10289.

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

pith.paper-citation-record.v1
2507.10289 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:45:16.099021Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:03:14.156327Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:03:14.183619Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy14
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e18cbfd5-1d80-48a4-8948-78f449b88ac0 · outbound

This paper cites Andr \'e ka, J.

Definable coordinate geometries over fields, part 2: applications Andr \'e ka, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:20.201339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 49fd5c14-34c4-446c-9462-9bbf4027e54e · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:20.021141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6afa0140-dfc1-403c-85a0-a9adcc0ebc5c · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:19.804295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e8cfe7e1-654d-4a3d-b70a-18e857d3a427 · outbound

This paper cites 2, 295--322.

Definable coordinate geometries over fields, part 2: applications 2, 295--322

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:19.661709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 324a5602-f195-4b7b-a0d9-c09be8d10515 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:19.495082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a1dc67f4-bbf7-489f-be5b-4b3e113217c8 · outbound

This paper cites Formica and M.

Definable coordinate geometries over fields, part 2: applications Formica and M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:19.164804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 941225bd-0a02-469b-a7ee-092a73901b74 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.503461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4eef5494-7891-4ff3-b863-b1d0125ecfa6 · outbound

This paper cites Friend, On the epistemological significance of the H ungarian project , Synthese 192,7 (2015), 2035--2051.

Definable coordinate geometries over fields, part 2: applications Friend, On the epistemological significance of the H ungarian project , Synthese 192,7 (2015), 2035--2051

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:18.983078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b8b55a97-957e-4b87-9bf6-4420d891f38c · outbound

This paper cites Henkin, J.D.

Definable coordinate geometries over fields, part 2: applications Henkin, J.D

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:18.696177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 13693893-45f3-4fa0-acf7-4e6a87d1b87e · outbound

This paper cites Ketland, Axiomatization of G alilean spacetime , Dialectica 77 (2023), no.

Definable coordinate geometries over fields, part 2: applications Ketland, Axiomatization of G alilean spacetime , Dialectica 77 (2023), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:14.730222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44a55855-ecc7-4ad0-aeee-e0e98f55fdd9 · outbound

This paper cites Khaled and G.

Definable coordinate geometries over fields, part 2: applications Khaled and G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:18.437307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b46d2f16-4a2f-4850-b493-fd030e5a9f36 · outbound

This paper cites 1, 300–315.

Definable coordinate geometries over fields, part 2: applications 1, 300–315

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:18.286716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 61710aea-1c86-4f08-9489-74e5b67daa53 · outbound

This paper cites Khaled, G.

Definable coordinate geometries over fields, part 2: applications Khaled, G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:18.161167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2e811c86-9c27-47de-994a-86d6964c3a68 · outbound

This paper cites Lefever, Using logical interpretation and definitional equivalence to compare classical kinematics and special relativity theory, Ph.D.

Definable coordinate geometries over fields, part 2: applications Lefever, Using logical interpretation and definitional equivalence to compare classical kinematics and special relativity theory, Ph.D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.089966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8efab0d9-1506-41ae-b7f3-f6452bfcbbc4 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:18.038881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3fd0de50-491d-4e84-831e-7b8a21b68bf7 · outbound

This paper cites Lefever and G.

Definable coordinate geometries over fields, part 2: applications Lefever and G

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.235915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da10a807-d426-480b-a6a5-66957909b5f8 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T17:45:15.302769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cf3dcb5-1f66-4108-9d7d-3da03f550c6b · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:17.861082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5b2988e3-6504-44ab-ad9c-b465b6b7ef3e · outbound

This paper cites Madar \'a sz, M.

Definable coordinate geometries over fields, part 2: applications Madar \'a sz, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:17.723223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b3625635-abdd-4177-bb65-5e18db9c34d6 · outbound

This paper cites North, The ``structure'' of physics, Journal of Philosophy 106 (2009), no.

Definable coordinate geometries over fields, part 2: applications North, The ``structure'' of physics, Journal of Philosophy 106 (2009), no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:17.541344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ac40df01-0441-4389-ae3a-1cdf05cbf561 · outbound

This paper cites Swanson and H.

Definable coordinate geometries over fields, part 2: applications Swanson and H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:17.368639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4fb67e18-0e11-4e50-8438-b636e4ba2bc8 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:17.118349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c934674b-8200-4037-8069-96497d786185 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 2: applications Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:45:16.904277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 98580a83-09b4-4c15-80bd-4b516dbd095c · outbound

This paper cites On a lattice of relational spaces (reducts) for the order of integers.

Definable coordinate geometries over fields, part 2: applications On a lattice of relational spaces (reducts) for the order of integers

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:45:16.236348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cd2a52c7-68cd-4fc7-b675-1604d0d3deac · outbound

This paper cites Semenov, S.

Definable coordinate geometries over fields, part 2: applications Semenov, S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:16.784175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 80c6fa0f-4e28-4e4b-9a80-df874359036f · outbound

This paper cites Szczerba and A.

Definable coordinate geometries over fields, part 2: applications Szczerba and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:16.586320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 550e20f6-4332-4b60-b027-ae9d39583fa0 · outbound

This paper cites Wilhelm, Comparing the structures of mathematical objects, Synthese 199 (2021), no.

Definable coordinate geometries over fields, part 2: applications Wilhelm, Comparing the structures of mathematical objects, Synthese 199 (2021), no

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:45:16.390745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 89e3c248-9893-4519-a7d1-8dcd696c3075 · inbound

On Andr\'eka's Conjecture that special relativity is the only possible conceptual reduct of classical kinematics cites this paper.

On Andr\'eka's Conjecture that special relativity is the only possible conceptual reduct of classical kinematics Definable coordinate geometries over fields, part 2: applications

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:03:14.188912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.