Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T18:07:38.396703Z
Paper Citation Record · LEDGER
Scott Spectral Gaps are Bounded for Linear Orderings
As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2411.12084.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:57:09.974820Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T17:36:05.308635Z
Reference resolution
34 of 34 outbound references displayed
- verified exact1
- verified fuzzy29
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cfd7e07f-a457-4702-bf2f-107c02fd96ab · outbound
This paper cites Ash and J.
Scott Spectral Gaps are Bounded for Linear Orderings Ash and J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.766557Z
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 122e4075-0640-4e8a-9765-8de232363d39 · outbound
This paper cites The complexity of S cott sentences of scattered linear orders.
Scott Spectral Gaps are Bounded for Linear Orderings The complexity of S cott sentences of scattered linear orders
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.757720Z
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 0db32149-efdd-479a-aff6-94c47e1febf9 · outbound
This paper cites an unresolved cited work.
Scott Spectral Gaps are Bounded for Linear Orderings Unresolved cited work
Reference 3
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- unresolved
- raw_fallback, observed 2026-08-12T18:07:38.747241Z
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 0cdb5639-71cb-4a4e-8aa1-330b0ca76832 · outbound
This paper cites Generically computable linear orderings.
Scott Spectral Gaps are Bounded for Linear Orderings Generically computable linear orderings
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.737399Z
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 d2d87951-a61a-4596-a6b1-bfcb7b57abe7 · outbound
This paper cites The completeness of the isomorphism relation for countable B oolean algebras.
Scott Spectral Gaps are Bounded for Linear Orderings The completeness of the isomorphism relation for countable B oolean algebras
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.726195Z
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 350b5c42-e6ef-44da-88b2-e2d4058d42f7 · outbound
This paper cites Optimal syntactic definitions of back-and-forth types.
Scott Spectral Gaps are Bounded for Linear Orderings Optimal syntactic definitions of back-and-forth types
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.715086Z
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 70f939f1-0729-48f7-b7c2-49c69b4c53ae · outbound
This paper cites A B orel reducibility theory for classes of countable structures.
Scott Spectral Gaps are Bounded for Linear Orderings A B orel reducibility theory for classes of countable structures
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.705511Z
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 77514a36-23da-4f81-bfe9-bcf5002b1f9f · outbound
This paper cites Some dichotomy theorems for isomorphism relations of countable models.
Scott Spectral Gaps are Bounded for Linear Orderings Some dichotomy theorems for isomorphism relations of countable models
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.695203Z
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 3533dd34-7aa5-4583-8c16-f61428ba0bcd · outbound
This paper cites Invariant descriptive set theory , volume 293 of Pure and Applied Mathematics (Boca Raton).
Scott Spectral Gaps are Bounded for Linear Orderings Invariant descriptive set theory , volume 293 of Pure and Applied Mathematics (Boca Raton)
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.684338Z
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 d8f95067-ceaf-4fbf-b009-d659ea5454ee · outbound
This paper cites Enumerations in computable structure theory.
Scott Spectral Gaps are Bounded for Linear Orderings Enumerations in computable structure theory
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.674365Z
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 c677117e-a760-4d28-8f03-d21fd7d78376 · outbound
This paper cites Scott analysis, linear orders, and almost periodic functions.
Scott Spectral Gaps are Bounded for Linear Orderings Scott analysis, linear orders, and almost periodic functions
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.664033Z
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 5fe2f529-aeb0-4b7a-8f7b-e6f575d37593 · outbound
This paper cites The - V aught's conjecture.
Scott Spectral Gaps are Bounded for Linear Orderings The - V aught's conjecture
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.653367Z
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 51661185-a0bf-4461-b839-637e33da192d · outbound
This paper cites Scott sentence complexities of linear orderings.
Scott Spectral Gaps are Bounded for Linear Orderings Scott sentence complexities of linear orderings
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.642542Z
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 589e6209-abe5-4a15-9d20-534235eed564 · outbound
This paper cites Hirschfeldt, Bakhadyr Khoussainov, Richard A.
Scott Spectral Gaps are Bounded for Linear Orderings Hirschfeldt, Bakhadyr Khoussainov, Richard A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.631907Z
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 81b87796-fa7b-4cdc-8383-ff1472069b77 · outbound
This paper cites Scott ranks of models of a theory.
Scott Spectral Gaps are Bounded for Linear Orderings Scott ranks of models of a theory
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.622090Z
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 d6a7b631-15f8-4a5c-b2aa-1c35d99ddf0a · outbound
This paper cites Borel functors and infinitary interpretations.
Scott Spectral Gaps are Bounded for Linear Orderings Borel functors and infinitary interpretations
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.611863Z
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 41d89ac3-df26-4c46-9ac4-aa4fd3d8a109 · outbound
This paper cites Computable functors and effective interpretability.
Scott Spectral Gaps are Bounded for Linear Orderings Computable functors and effective interpretability
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.601088Z
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 8efb66cc-2d59-44d3-bb0d-f328a822e971 · outbound
This paper cites an unresolved cited work.
Scott Spectral Gaps are Bounded for Linear Orderings Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:07:38.590463Z
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 5faf1273-22df-4090-af00-6cd432e33437 · outbound
This paper cites The structure of countable B oolean algebras.
Scott Spectral Gaps are Bounded for Linear Orderings The structure of countable B oolean algebras
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.579584Z
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 cc9b0624-f34f-430a-9e71-009f2f711d05 · outbound
This paper cites Knight, Sara Miller, and M.
Scott Spectral Gaps are Bounded for Linear Orderings Knight, Sara Miller, and M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.570178Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4553e676-b99c-4cfa-8647-92f3e6655fbe · outbound
This paper cites an unresolved cited work.
Scott Spectral Gaps are Bounded for Linear Orderings Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T18:07:38.560678Z
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 6177e110-3676-4cfe-a679-4f7bd62b91dd · outbound
This paper cites Lindenbaum and A.
Scott Spectral Gaps are Bounded for Linear Orderings Lindenbaum and A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.550502Z
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 5975c549-2ad2-4438-99c1-8e69c1abbb94 · outbound
This paper cites Laskowski and Douglas S.
Scott Spectral Gaps are Bounded for Linear Orderings Laskowski and Douglas S
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.540431Z
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 bb0d2ab0-c0bb-4017-b9ee-93e85c68df60 · outbound
This paper cites Computable structure theory: Beyond the arithmetic.
Scott Spectral Gaps are Bounded for Linear Orderings Computable structure theory: Beyond the arithmetic
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.530802Z
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 471dedc9-592f-4cca-8034-3f5b0f659ee0 · outbound
This paper cites Counting the back-and-forth types.
Scott Spectral Gaps are Bounded for Linear Orderings Counting the back-and-forth types
Reference 25
- Resolution
- verified exact
- doi, observed 2026-08-12T18:07:38.423916Z
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 4d82ba44-8d77-44e7-ac1e-53f6753fce37 · outbound
This paper cites Rice sequences of relations.
Scott Spectral Gaps are Bounded for Linear Orderings Rice sequences of relations
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.520396Z
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 0df13042-221a-43b6-95f9-b7cce3e9d9e4 · outbound
This paper cites Montalb \'a n.
Scott Spectral Gaps are Bounded for Linear Orderings Montalb \'a n
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.512185Z
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 9a36a114-4408-4216-83f1-38112233d5df · outbound
This paper cites The structural complexity of models of arithmetic.
Scott Spectral Gaps are Bounded for Linear Orderings The structural complexity of models of arithmetic
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.501249Z
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 023087c0-537f-44e9-b273-0d6393dd8ed7 · outbound
This paper cites Torsion-free abelian groups are B orel complete.
Scott Spectral Gaps are Bounded for Linear Orderings Torsion-free abelian groups are B orel complete
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.489919Z
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 7f417ec1-ab41-4ce4-a8f2-649896e229cf · outbound
This paper cites Torsion-free abelian groups are faithfully B orel complete and pure embeddability is a complete analytic quasi-order, 2025.
Scott Spectral Gaps are Bounded for Linear Orderings Torsion-free abelian groups are faithfully B orel complete and pure embeddability is a complete analytic quasi-order, 2025
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.477397Z
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 7a287aea-fae7-4e8a-bab2-58c3635fc528 · outbound
This paper cites Logic with denumerably long formulas and finite strings of quantifiers.
Scott Spectral Gaps are Bounded for Linear Orderings Logic with denumerably long formulas and finite strings of quantifiers
Reference 31
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- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.465939Z
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 96f7b737-f280-4399-b343-a20a64c726f3 · outbound
This paper cites an unresolved cited work.
Scott Spectral Gaps are Bounded for Linear Orderings Unresolved cited work
Reference 32
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- unresolved
- raw_fallback, observed 2026-08-12T18:07:38.455542Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 556f09ff-1a66-4bce-a830-cc9609506e31 · outbound
This paper cites Ordinal algebras.
Scott Spectral Gaps are Bounded for Linear Orderings Ordinal algebras
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.444933Z
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 975ff767-b65c-4e55-82bc-dd8c6e707da6 · outbound
This paper cites Invariant sets in topology and logic.
Scott Spectral Gaps are Bounded for Linear Orderings Invariant sets in topology and logic
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T18:07:38.434553Z
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 8e61f72e-3488-4fd8-a8a2-63a881bf86b3 · inbound
Measuring the Complexity of Countable Presburger Models cites this paper.
Measuring the Complexity of Countable Presburger Models Scott Spectral Gaps are Bounded for Linear Orderings
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T07:17:25.252395Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c4b7fcb-2fff-4da5-bd2f-9f2207a7429c · inbound
Computable Scott Sentences and the Friedman-Stanley embedding cites this paper.
Computable Scott Sentences and the Friedman-Stanley embedding Scott Spectral Gaps are Bounded for Linear Orderings
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T17:36:05.311509Z
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 6670eff5-7894-4bff-9caf-f8b69dde6271 · inbound
Tennenbaum-like theorems for cohesive powers cites this paper.
Tennenbaum-like theorems for cohesive powers Scott Spectral Gaps are Bounded for Linear Orderings
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:57:09.974820Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.