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Paper Citation Record · LEDGER

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.09387.

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

pith.paper-citation-record.v1
1908.09387 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:24:00.418053Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f94924e9-1a60-4106-bf88-3aca541ff2ed · outbound

This paper cites an unresolved cited work.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:00.724368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.331480Z digest=sha256:1ae8ea998b98e9ec51cb4919c5e4fff24c3b65c590c73607bc602fd4e7ce2f21

Observation 4a201c6f-44a1-4501-8a6c-4feb1cd5e012 · outbound

This paper cites Building models of strongly minimal theories.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Building models of strongly minimal theories

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.708909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.337072Z digest=sha256:b44ff2d1698a8a7c74dc59823276d352c5cd58c7c83448e6185b89a4c8fae002

Observation 14d0b05d-00a5-4254-bc7c-48a159e63a79 · outbound

This paper cites Recursive spectra of strongly minimal theories satisfying the Z ilber trichotomy.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Recursive spectra of strongly minimal theories satisfying the Z ilber trichotomy

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.693498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.342110Z digest=sha256:ee9b30ea4a8e6e27646e50583b87dc180c33f7808103d8d8bae79f0eefa55a63

Observation 55777f36-5e8d-43cb-adb3-dfbe3e96f58b · outbound

This paper cites Amalgamation constructions and recursive model theory.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Amalgamation constructions and recursive model theory

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.678143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.347064Z digest=sha256:599167c6d30915430aa48df51a4673739b2fcc29524a3a69be8e10af8b649e25

Observation 2ecc54ce-0086-4928-bddb-c29206415d81 · outbound

This paper cites New spectra of strongly minimal theories in finite languages.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature New spectra of strongly minimal theories in finite languages

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.662977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.352103Z digest=sha256:06f8b1443bc328b3c5d0a3d316458f2ffa3c7ddbae87e142026c44bc89f68b57

Observation 9b4d213e-ef36-4eaf-b10c-15193804d6be · outbound

This paper cites A new spectrum of recursive models using an amalgamation construction.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature A new spectrum of recursive models using an amalgamation construction

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.646996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.357656Z digest=sha256:43f0f437635d21108c0091bc05e512b02554dc400507eeefb56ecb39fdff9f14

Observation 8400fce2-fabf-4ecf-9721-169618c888c4 · outbound

This paper cites an unresolved cited work.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:00.629945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.362621Z digest=sha256:b46ead9e56ac31455cb10c7c7971cb9228190a7b59e159fa8773ee3e073aef74

Observation 014c59b3-d226-480f-89fe-025a366f7b79 · outbound

This paper cites Goncharov, Valentina S.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Goncharov, Valentina S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.614237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.367974Z digest=sha256:348dd513d894e8e71045f79a1f9a7921be09b2021a59e2733b44797b3b67db28

Observation 91d9ccde-8a51-4c54-81ce-5ce11f99304f · outbound

This paper cites an unresolved cited work.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:00.598787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.372580Z digest=sha256:3c2b0f75c0144f0c3bfbf5b5f8a5b165b7e7b85bd9e1a9709650fa973193c285

Observation 1d5c4a21-112f-4a05-9e4f-bd018cf96483 · outbound

This paper cites Hirschfeldt, Bakhadyr Khoussainov, and Pavel Semukhin.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Hirschfeldt, Bakhadyr Khoussainov, and Pavel Semukhin

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.583147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.377421Z digest=sha256:1e416f09cca5881ab01c283535b54266d64cc1fac266e91c150cb0e8211280ac

Observation d334f2fe-1f21-4f1e-8b69-417bbb0a4069 · outbound

This paper cites Constructive models of uncountably categorical theories.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Constructive models of uncountably categorical theories

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.567162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.382591Z digest=sha256:b49608d6703f65c61ca529b198f81808bc5ed7c1d8db5b21a47bde20c4eff44c

Observation c7665b81-6687-454a-8181-b75aefe9776e · outbound

This paper cites Model theory , volume 42 of Encyclopedia of Mathematics and its Applications.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Model theory , volume 42 of Encyclopedia of Mathematics and its Applications

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T11:24:00.387935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:24:00.387935Z digest=sha256:59306ecc21173d6895c89b21d8a5668320b004f1a5f957f5cc5b622be572897a

Observation 240b821e-bae5-43c6-a71c-5a99c02c52c1 · outbound

This paper cites A new strongly minimal set.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature A new strongly minimal set

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.539683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.393803Z digest=sha256:048948da01677a3b3aba26d11d9acd0e4ed68862ed5e26908728f7d84b5e56d0

Observation cda5221f-6a68-4b95-97f7-ddec0f5683cd · outbound

This paper cites Khoussainov, Michael C.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Khoussainov, Michael C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.522227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.398750Z digest=sha256:72eab40b3cb753bd5e0e5c12b5569279c40ca861117b86b888b5589dfa14ed2b

Observation ed6e5d46-cd83-47e9-b22a-6d4d053d4f0b · outbound

This paper cites an unresolved cited work.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:00.506324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.403370Z digest=sha256:857a174333cef26ed2674a7cb7aa6470bbcf2be46a657e930b279e3d2eb1a579

Observation a850f9bc-ec78-49fb-bcfd-6b6766e1496d · outbound

This paper cites Applications of K olmogorov complexity to computable model theory.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Applications of K olmogorov complexity to computable model theory

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.490837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.407956Z digest=sha256:fb8030fbf27eb50925204ea512d7d562f36fcdb2d7008a68cddc2f5c8c8ab32d

Observation 2ef1434d-1ed9-49f4-8cb1-408576470dfe · outbound

This paper cites an unresolved cited work.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:24:00.472496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.412991Z digest=sha256:6811bc2587dab761b1373c32f7b2673ebd2df2f87c2d824c4d0bd9fd6d4fa9e0

Observation b12e600d-2536-4144-8db5-6badef61d3af · outbound

This paper cites A new spectrum of recursive models.

$[0,n]\cup \{\omega\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature A new spectrum of recursive models

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:24:00.456301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T11:24:00.418053Z digest=sha256:2952fc85ebe10d564274104e7b5561aadac56e496dad1f3e30b6fcc24c40e659

Pith citing papers

No inbound Pith citation observations are available.