Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T20:06:43.105217Z
Paper Citation Record · LEDGER
Spectral splitting theorem and ends of minimal hypersurfaces
As of 7 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2605.14931.
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 2026-08-06T06:34:29.942622+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
5 of 5 outbound references displayed
- verified exact2
- verified fuzzy1
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 055cc098-9e3f-41d7-8580-fb23d8eed370 · outbound
This paper cites A sharp spectral splitting theorem.
Spectral splitting theorem and ends of minimal hypersurfaces A sharp spectral splitting theorem
Reference 1
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-01T14:45:49.650292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 648da56c-6e4f-4240-8798-54eea27132f6 · outbound
This paper cites New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry.
Spectral splitting theorem and ends of minimal hypersurfaces New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
Reference 2
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-14T01:19:51.439780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation e36f8d20-ce58-4baa-aaa2-db09598b47ef · outbound
This paper cites Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces.
Spectral splitting theorem and ends of minimal hypersurfaces Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-01T14:45:49.652733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation abcbe9d5-6d70-4614-bda2-9c51fcf70629 · outbound
This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.
Spectral splitting theorem and ends of minimal hypersurfaces Stable minimal hypersurfaces in $\mathbb R^6$
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T14:45:49.643711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 82cf58e7-f065-4bc3-8d9a-cf0bb60ac2ca · outbound
This paper cites On stable minimal surfaces in manifolds of positive bi-Ricci curvatures.Duke Math.
Spectral splitting theorem and ends of minimal hypersurfaces On stable minimal surfaces in manifolds of positive bi-Ricci curvatures.Duke Math
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T21:44:12.336178Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Pith citing papers
No inbound Pith citation observations are available.