Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T09:57:51.026867Z
Paper Citation Record · LEDGER
Homological $k$-systole in $n$-manifolds with positive intermediate curvature
As of 7 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2601.12461.
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
5 of 5 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c42ef12a-b927-4d0d-a6b0-78487de57155 · outbound
This paper cites New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry.
Homological $k$-systole in $n$-manifolds with positive intermediate curvature New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:57:50.791222Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 718c772b-028e-4eb7-bdbe-4411fffaf416 · outbound
This paper cites A splitting theorem for manifolds with nonneg- ative spectral ricci curvature and mean-convex boundary.arXiv:2503.07009,.
Homological $k$-systole in $n$-manifolds with positive intermediate curvature A splitting theorem for manifolds with nonneg- ative spectral ricci curvature and mean-convex boundary.arXiv:2503.07009,
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:57:50.958695Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 795b094e-b7ce-4285-baa0-8a26a09c1dd9 · outbound
This paper cites Rigidity of CMC hypersurfaces in 5-and 6-manifolds.
Homological $k$-systole in $n$-manifolds with positive intermediate curvature Rigidity of CMC hypersurfaces in 5-and 6-manifolds
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:57:51.026867Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cebe6bf3-90f7-4744-9c5a-071f3bc7b436 · outbound
This paper cites Nonexistence of the metric with positive inter- mediate curvatures on manifolds with boundary.arXiv:2510.13099,.
Homological $k$-systole in $n$-manifolds with positive intermediate curvature Nonexistence of the metric with positive inter- mediate curvatures on manifolds with boundary.arXiv:2510.13099,
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:57:50.857748Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04ff0537-273f-428e-bace-1def4a500846 · outbound
This paper cites Stable minimal hypersurfaces inR 5.arXiv:2401.01492, to appear in Ann.
Homological $k$-systole in $n$-manifolds with positive intermediate curvature Stable minimal hypersurfaces inR 5.arXiv:2401.01492, to appear in Ann
Reference 2025
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T09:57:50.889190Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.