Pith. sign in

Paper Citation Record · LEDGER

New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2405.08918.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2405.08918 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:10:01.050531Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T14:45:49.644929Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 11aae78a-196f-4d81-a6f5-0815a95a4907 · inbound

Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces cites this paper.

Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 2

Resolution
verified exact
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T07:16:37.217949Z digest=sha256:9425d7f57ee5bde19e96084f7be66cb9c6a1f3e831dd0ebfe00b8e8414277319

Observation b01b2fbd-7bff-473f-a4df-05a25548670d · inbound

Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$ cites this paper.

Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$ New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T15:10:01.050531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:10:01.050531Z digest=sha256:70715852186b1b18477bb2a35b40a7905cd0fd8c87e4559f22559ce13c45c54b

Observation e3a068fb-53c5-45c0-b721-ce44a99701f2 · inbound

Connected sum of manifolds with spectral Ricci lower bounds cites this paper.

Connected sum of manifolds with spectral Ricci lower bounds New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T14:43:24.804189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:43:24.804189Z digest=sha256:e9aa71c0801bb9186a13eca47d545a5c1e76241f017eb2043a44031a72867e60

Observation 748fb266-3d06-41f8-ae3f-5de0ddbed43d · inbound

Complete two-sided $\delta$-stable minimal hypersurfaces in $\mathbf R^{n+1}$ cites this paper.

Complete two-sided $\delta$-stable minimal hypersurfaces in $\mathbf R^{n+1}$ New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T21:33:55.916062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:33:55.916062Z digest=sha256:7c0e6659df54b6f2b25d2d5447c22ee6cf110fe59f531117538f7d46c6266eb8

Observation cd921834-53e6-41a3-a458-374a949df393 · inbound

Isoperimetric problems and lower bounds on curvature cites this paper.

Isoperimetric problems and lower bounds on curvature New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T15:45:08.722495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T15:45:08.722495Z digest=sha256:ca28b50e500d45ac045dc5ca34594d8f7877c31c252779cc9b106fba30c59f84

Observation c42ef12a-b927-4d0d-a6b0-78487de57155 · inbound

Homological $k$-systole in $n$-manifolds with positive intermediate curvature cites this paper.

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:c1c3d37b8771c9eb6e0d3a46858b0f748abcc7edca59f47f3d0c1c3df987fcb5

Observation 93260e86-9d50-4d78-9a39-8ad61ac3a4d9 · inbound

Simply connectedness of K\"ahler and Riemannian manifolds via spectral estimates (with an appendix by Shiyu Zhang) cites this paper.

Simply connectedness of K\"ahler and Riemannian manifolds via spectral estimates (with an appendix by Shiyu Zhang) New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 1

Resolution
verified exact
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-16T02:41:12.580739Z digest=sha256:8e879ce0ddf3ca4fd030433605d9e36048cd296bd222b3ace100e539aaa4d422

Observation 68c01564-7569-4e8c-b34d-20fa1c1cf0ce · inbound

Some rigidity theorems for spectral curvature bounds cites this paper.

Some rigidity theorems for spectral curvature bounds New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-13T11:27:57.743687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T11:27:57.743687Z digest=sha256:5c6f5513a4de447927b41d8cf19fb4c24d819d51c9ac5ad36e8ef401aca9e4bc

Observation 0669eac5-2642-4963-9f10-41a950cf7372 · inbound

Finite index constant mean curvature hypersurfaces in low dimensions cites this paper.

Finite index constant mean curvature hypersurfaces in low dimensions New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 2

Resolution
verified exact
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T18:28:29.005564Z digest=sha256:71aeba9c98eb4f16907bf3caf8da6eef1b14aa32d60bc01f0418a73555fb1525

Observation 18c4ef97-7c0b-4ba1-8532-b1716ef97afd · inbound

Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$ cites this paper.

Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$ New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 4

Resolution
verified exact
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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T11:38:54.549288Z digest=sha256:c3f9a3f41a6897aa932848277f868f059c6f5b3bb4e592b0115a9306905205c8

Observation e5d12d5f-5064-4bb1-aa72-47908a82b589 · inbound

Intermediate curvature and splitting theorem cites this paper.

Intermediate curvature and splitting theorem 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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-07T10:58:37.078434Z digest=sha256:fd48da25f45f3bcd3840945033e0ee83fc5a0a03b003053e8b9a83b9078b66b3

Observation b983c3e6-7810-4fb6-aa2f-d217f74f2777 · inbound

Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary cites this paper.

Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary 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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T01:58:15.439876Z digest=sha256:75f5231cf90a2c5c8d58d3f9778edd5856acae44cf4fd0b31eaebe64440b7f77

Observation 648da56c-6e4f-4240-8798-54eea27132f6 · inbound

Spectral splitting theorem and ends of minimal hypersurfaces cites this paper.

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-30T20:06:43.105217Z digest=sha256:a14d9f076878775b24fface3ab2dfb7db1eccdf038374a1e222769a31f611c68

Observation 9da0d134-d95e-43c5-8a3e-a56b78aa493b · inbound

The space of metrics with positive generalized conformal Laplacian cites this paper.

The space of metrics with positive generalized conformal Laplacian New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 15

Resolution
unresolved
no resolver link, observed 2026-07-31T06:30:27.911790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T06:30:27.911790Z digest=sha256:a1eb19090140436fbb8ab70b8de0bb0e9c3405aeef43473a8cd476ca643d3657