Paper Citation Record · LEDGER

Topologically 1-based T-minimal Structures

As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2508.18558.

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

pith.paper-citation-record.v1
2508.18558 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:11:51.244700Z

measured 22 of 22 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 2026-05-11T01:10:10.362813Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T04:40:58.991378Z

Reference resolution

21 of 21 outbound references displayed

verified exact1
verified fuzzy15
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation efae0379-cc52-4ff1-ab94-fa88432bcff7 · outbound

This paper cites Weakly one-based geometric theories.

Topologically 1-based T-minimal Structures Weakly one-based geometric theories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.503187Z

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 8bf0dc7d-69f6-43d4-a2e0-80524783a9ef · outbound

This paper cites Strongly Minimal Relics of T-convex Fields.

Topologically 1-based T-minimal Structures Strongly Minimal Relics of T-convex Fields

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:51.177852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10ffdd39-6e85-43f6-9f69-2aaa181a6b16 · outbound

This paper cites Zilber's Trichotomy in Hausdorff Geometric Structures.

Topologically 1-based T-minimal Structures Zilber's Trichotomy in Hausdorff Geometric Structures

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:51.181802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72a46c3e-6b76-47b1-b9c7-6c5aba96aaf9 · outbound

This paper cites Cherlin, L.

Topologically 1-based T-minimal Structures Cherlin, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.489768Z

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 d2ec74f1-62c7-454d-8633-e7c8cc68fdc9 · outbound

This paper cites Model-theoretic Elekes-Szab´ o for stable and o-minimal hypergraphs.

Topologically 1-based T-minimal Structures Model-theoretic Elekes-Szab´ o for stable and o-minimal hypergraphs

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.476135Z

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 581cc01f-4a6c-473d-b5ee-8e090e5490b9 · outbound

This paper cites Stability in geometric theories.

Topologically 1-based T-minimal Structures Stability in geometric theories

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.464451Z

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 8fc96a70-4209-4d02-931e-ab1e7997c40f · outbound

This paper cites Interpretable fields in various valued fields.

Topologically 1-based T-minimal Structures Interpretable fields in various valued fields

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.453488Z

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 afb6d314-44ba-418a-993f-670b0aed1df8 · outbound

This paper cites On groups interpretable in various valued fields.

Topologically 1-based T-minimal Structures On groups interpretable in various valued fields

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.440448Z

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 5460f3c3-d4b1-4eae-b2c1-493c959a04f0 · outbound

This paper cites Locally modular regular types.

Topologically 1-based T-minimal Structures Locally modular regular types

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.429589Z

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 4e045630-cf74-4357-8077-69ce2e83736a · outbound

This paper cites Hrushovski and A.

Topologically 1-based T-minimal Structures Hrushovski and A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:51.206797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ed51e5c-000b-4468-b878-4ca8ac79ebbe · outbound

This paper cites Visceral theories without assumptions.

Topologically 1-based T-minimal Structures Visceral theories without assumptions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:51.210034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e977b66e-17d9-4ad9-9374-e2f6edf50006 · outbound

This paper cites Linear o-minimal structures.

Topologically 1-based T-minimal Structures Linear o-minimal structures

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.410545Z

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 29d81cc5-552b-4846-8195-2c97484402f4 · outbound

This paper cites Construction d’un groupe dans les structures C-minimales.

Topologically 1-based T-minimal Structures Construction d’un groupe dans les structures C-minimales

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.399004Z

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 b90028f7-36bd-435c-bc43-bd9f3b9837c8 · outbound

This paper cites Cell decomposition and dimension functions in first-order topological struc- tures.

Topologically 1-based T-minimal Structures Cell decomposition and dimension functions in first-order topological struc- tures

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.388405Z

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 effb35a2-6a51-49c9-883f-7c47c1beab43 · outbound

This paper cites Type-definable and invariant groups in o-minimal structures.J.

Topologically 1-based T-minimal Structures Type-definable and invariant groups in o-minimal structures.J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.378100Z

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 31044f95-743f-4210-9b9e-54ad71e46619 · outbound

This paper cites Constructing a group-interval in o-minimal structures.

Topologically 1-based T-minimal Structures Constructing a group-interval in o-minimal structures

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.367824Z

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 3e1aac81-ff21-40ca-a495-12b7b34cc77d · outbound

This paper cites An o-minimalist view of the group configuration.

Topologically 1-based T-minimal Structures An o-minimalist view of the group configuration

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:11:51.281145Z

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 772f6855-18e3-4152-879e-26b234388f91 · outbound

This paper cites A trichotomy theorem for o-minimal structures.Proc.

Topologically 1-based T-minimal Structures A trichotomy theorem for o-minimal structures.Proc

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.357398Z

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 fda32046-1678-40ed-b305-20c40c831c0b · outbound

This paper cites Geometric stability theory, volume 32 of Oxford Logic Guides.

Topologically 1-based T-minimal Structures Geometric stability theory, volume 32 of Oxford Logic Guides

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T17:11:51.236726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 954eb64a-c5b4-4e2e-aace-df103bc46946 · outbound

This paper cites Tame topology over dp-minimal structures.

Topologically 1-based T-minimal Structures Tame topology over dp-minimal structures

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.339931Z

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 390f9eb2-1f5f-4286-90f1-f7d2ba66e451 · outbound

This paper cites Uncountably categorical theories, volume 117 of Translations of Mathematical Monographs.

Topologically 1-based T-minimal Structures Uncountably categorical theories, volume 117 of Translations of Mathematical Monographs

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:11:51.328012Z

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.

Pith citing papers

Observation f4784fbd-d795-416c-a0a5-838071428701 · inbound

Definable groups and fields in t-minimal theories cites this paper.

Definable groups and fields in t-minimal theories Topologically 1-based T-minimal Structures

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T04:40:58.994918Z

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.