Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:56:39.446925Z
Paper Citation Record · LEDGER
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator
As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.01440.
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 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact2
- verified fuzzy3
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8bc0eadd-14eb-49bd-ab1c-79a55fb28fd0 · outbound
This paper cites Alexa,Relativistic Deformation of Geometry through Function C(v): Scalar Deformation Flow and the Ge- ometric Classification of 3-Manifolds, Preprint (2025), DOI: arXiv:2506.01146.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Alexa,Relativistic Deformation of Geometry through Function C(v): Scalar Deformation Flow and the Ge- ometric Classification of 3-Manifolds, Preprint (2025), DOI: arXiv:2506.01146
Reference 1
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T20:56:39.839739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4fc20b10-0f7c-4d38-9632-88c3e236f217 · outbound
This paper cites Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Essential Self-Adjointness of the Geometric Deformation Operator on a Compact Interval
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:56:39.604603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 84e2c449-39cc-4c3c-b06a-223eb39d87c9 · outbound
This paper cites and Simon, B.,Methods of Modern Mathemat- ical Physics, Volume IV: Analysis of Operators, Aca- demic Press (1978).
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator and Simon, B.,Methods of Modern Mathemat- ical Physics, Volume IV: Analysis of Operators, Aca- demic Press (1978)
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:56:40.998113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7335a0d0-6baa-4660-ab78-91ea3ae61030 · outbound
This paper cites an unresolved cited work.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:56:40.805798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 01c65e82-4c7b-4f4e-a624-afd5aa803d97 · outbound
This paper cites an unresolved cited work.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:56:40.614027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation af94c0cb-3155-4b99-a7d6-649b84afb2db · outbound
This paper cites an unresolved cited work.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:56:40.399156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation df4b593b-24ce-4f47-a62b-064ae0e70d0d · outbound
This paper cites 125 (2017).
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator 125 (2017)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:56:40.221484Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8dbdf911-e1fc-4e8c-9ac8-cb5a1e9123c0 · outbound
This paper cites an unresolved cited work.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:56:40.097516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e15c32cb-64ef-4153-921f-9ecb3b3907a7 · outbound
This paper cites an unresolved cited work.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:56:39.389819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e667735d-55c2-4392-9a15-94baa4016e9b · outbound
This paper cites A., and Fournier, J.
Discrete Spectrum and Spectral Rigidity of a Second-Order Geometric Deformation Operator A., and Fournier, J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:56:39.969500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.