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Paper Citation Record · LEDGER

Homological $k$-systole in $n$-manifolds with positive intermediate curvature

As of 9 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.

pith.paper-citation-record.v1
2601.12461 v2

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T09:57:51.026867Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

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.

source=pdf_text observed=2026-08-03T09:57:50.791222Z digest=sha256:7f586c6cade05607b52c8c0351a5898a8558fca423ce458198a0c9615b607526

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.

source=pdf_text observed=2026-08-03T09:57:50.958695Z digest=sha256:33c758fd504f899248a839e28e25f992f69a162b0b58bfb7ad80a21b23a75a08

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.

source=pdf_text observed=2026-08-03T09:57:51.026867Z digest=sha256:ed63318c798b5f8a32ea3a3ebd5855853bead3527fa283eadf31b18009a01efa

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.

source=pdf_text observed=2026-08-03T09:57:50.857748Z digest=sha256:d6edf62c41411bbc304f6f352b621ffc2613f9eff715bb6c8d72b9ddfdd86069

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.

source=pdf_text observed=2026-08-03T09:57:50.889190Z digest=sha256:8b4a7adb89dfa4d1553199c8fade374aa839e186d73561a59bef6b39e85bd51a

Pith citing papers

No inbound Pith citation observations are available.