Paper Citation Record · LEDGER

Definable coordinate geometries over fields, part 1: theory

As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2507.10279.

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

pith.paper-citation-record.v1
2507.10279 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:54:52.743867Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:03:14.153551Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:03:14.197380Z

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy9
unresolved25
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 888f46a9-3057-47b8-83eb-a42375e4b455 · outbound

This paper cites Andr \'e ka, J.

Definable coordinate geometries over fields, part 1: theory Andr \'e ka, J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.586435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3da677e-902a-4083-b4d2-136bf07308f4 · outbound

This paper cites Andr \'e ka and I.

Definable coordinate geometries over fields, part 1: theory Andr \'e ka and I

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.232282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cb2715bd-0648-49b0-b2e5-d186d76a72f1 · outbound

This paper cites Ax, The elementary foundations of spacetime, Found.

Definable coordinate geometries over fields, part 1: theory Ax, The elementary foundations of spacetime, Found

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.217685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 619ef253-c881-429d-8a43-5114122ebbcd · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.601517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2fb7d179-2141-4d92-aaa5-25a4920dae15 · outbound

This paper cites 2, 295--322.

Definable coordinate geometries over fields, part 1: theory 2, 295--322

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.606508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b83c730-3c80-424a-97f2-66e3b27b6696 · outbound

This paper cites Berger, Geometry I , Universitext, Springer Berlin Heidelberg, 1987.

Definable coordinate geometries over fields, part 1: theory Berger, Geometry I , Universitext, Springer Berlin Heidelberg, 1987

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.181154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 43563c51-a2ea-43b0-b970-06f453503198 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.616755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82bff271-f164-4da3-9bb0-78578c07892c · outbound

This paper cites Cocco and J.

Definable coordinate geometries over fields, part 1: theory Cocco and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.156058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a029dcf7-0958-48cb-9d98-447f7a015212 · outbound

This paper cites Formica and M.

Definable coordinate geometries over fields, part 1: theory Formica and M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.625402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e81c425-46d9-4f0f-941a-ad7608afbea5 · 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 1: theory Friend, On the epistemological significance of the H ungarian project , Synthese 192,7 (2015), 2035--2051

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.629446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61407da8-eca8-4cc3-ba6d-cc30f4e6cd7f · outbound

This paper cites Henkin, J.D.

Definable coordinate geometries over fields, part 1: theory Henkin, J.D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.634261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d04b3bac-f3a2-4dc8-974e-3e4e7adde09a · outbound

This paper cites Hodges, Model theory, Cambridge University Press, 1993.

Definable coordinate geometries over fields, part 1: theory Hodges, Model theory, Cambridge University Press, 1993

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.108974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 860c73d4-af1f-4772-9298-6eb6efac0436 · outbound

This paper cites Khaled and G.

Definable coordinate geometries over fields, part 1: theory Khaled and G

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.642585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 589e2ad0-19c0-4f37-9250-b09d4a69f080 · outbound

This paper cites 1, 300–315.

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

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.646625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e4289e4-673e-4136-8b41-c1df2c3ce12f · outbound

This paper cites Khaled, G.

Definable coordinate geometries over fields, part 1: theory Khaled, G

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.650961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3956e659-eac2-42dd-9062-45033bb222d4 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.655330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cfc5552-7f8a-4c06-a956-aa584a2ab3dd · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.660108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8048b138-b176-4cba-ba93-4373c18884a7 · outbound

This paper cites Madar \'a sz, M.

Definable coordinate geometries over fields, part 1: theory Madar \'a sz, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:53.037243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0430958d-add1-49ec-be18-49f2c0d6c199 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:54:53.017266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fd5e11e8-0ee8-4326-9a64-5ce90f801b37 · outbound

This paper cites Mundy, Optical axiomatization of M inkowski space-time geometry , Philosophy of Science 53 (1986), no.

Definable coordinate geometries over fields, part 1: theory Mundy, Optical axiomatization of M inkowski space-time geometry , Philosophy of Science 53 (1986), no

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:52.998505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ca9d65a4-3c25-4010-86e6-a4738032cb35 · outbound

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

Definable coordinate geometries over fields, part 1: theory North, The ``structure'' of physics, Journal of Philosophy 106 (2009), no

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.680595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88a2410-e07f-4d2f-9d1c-5246faa3d5c0 · outbound

This paper cites Pambuccian, A lexandrov- Z eeman type theorems expressed in terms of definability , Aequationes Mathematicae 74,3 (2007), 249--261.

Definable coordinate geometries over fields, part 1: theory Pambuccian, A lexandrov- Z eeman type theorems expressed in terms of definability , Aequationes Mathematicae 74,3 (2007), 249--261

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.685239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb20f5c-fa7d-48b2-872e-bc27c10210c7 · outbound

This paper cites Swanson and H.

Definable coordinate geometries over fields, part 1: theory Swanson and H

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.691212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3521435a-d15a-4112-ba76-4b3a89565939 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:54:52.943035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a2eccae4-6b82-473f-acac-28acad2331da · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:54:52.925513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9842fd40-4822-4db0-ba2f-b8672a1976e6 · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.706186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eeb1b2eb-f47a-465c-9b53-037a2e2e52ab · outbound

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

Definable coordinate geometries over fields, part 1: theory On a lattice of relational spaces (reducts) for the order of integers

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.710531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8242aab9-ce11-4d13-97f3-1a475c4a549c · outbound

This paper cites Semenov, S.

Definable coordinate geometries over fields, part 1: theory Semenov, S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.715135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e60786a9-1101-4e0b-b8f8-c17b232b9e58 · outbound

This paper cites Szczerba and A.

Definable coordinate geometries over fields, part 1: theory Szczerba and A

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.719683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aa61ce1-aac2-49bf-b25b-c1e0ba341440 · outbound

This paper cites Tarski, What is elementary geometry?, The Axiomatic Method (L.

Definable coordinate geometries over fields, part 1: theory Tarski, What is elementary geometry?, The Axiomatic Method (L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:52.875561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2c27414c-b2c7-4255-815f-2395377fa6ab · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:54:52.858882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1ddcd4aa-801e-4cf1-ac77-a87dce2f594a · outbound

This paper cites an unresolved cited work.

Definable coordinate geometries over fields, part 1: theory Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:54:52.844044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 27261db0-8870-4e49-9256-e16bac831bec · outbound

This paper cites Tarski and S.

Definable coordinate geometries over fields, part 1: theory Tarski and S

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:54:52.828019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ad0136ed-bc2b-4b70-b881-c32b3ea881b8 · outbound

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

Definable coordinate geometries over fields, part 1: theory Wilhelm, Comparing the structures of mathematical objects, Synthese 199 (2021), no

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T17:54:52.743867Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 28f31ffc-1d1c-43ad-adec-143df717e045 · 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 1: theory

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:03:14.200300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.