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Paper Citation Record · LEDGER

Comparison Geometry on Manifolds with Density via Modified Hessians

As of 19 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2605.24407.

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

pith.paper-citation-record.v1
2605.24407 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T12:50:57.828801Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

10 of 10 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e332b262-3fe9-4329-bbf5-58fb26b7a2f2 · outbound

This paper cites Bakry and M.

Comparison Geometry on Manifolds with Density via Modified Hessians Bakry and M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.781987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:186236a4440ac79c800ac065aa27bae8cfc475235b4841c208d522d564cf3883

Observation f4e2c9fe-bb19-472e-aa88-479c61c51a07 · outbound

This paper cites Cheeger and D.

Comparison Geometry on Manifolds with Density via Modified Hessians Cheeger and D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.780119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:bce101a3db804f43ac78931e4d5b9c182e02d499f91f7e149de19065f93f2186

Observation f63ebcb5-4e24-4f90-a2ca-fa0830e399c5 · outbound

This paper cites Kennard, W.

Comparison Geometry on Manifolds with Density via Modified Hessians Kennard, W

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.776662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:84181b874ba06b16614dd9a42e67386363233e6e6224e5da143504c3d8e48ec4

Observation 7d07eace-d652-4807-a8bb-dab2c60209ab · outbound

This paper cites an unresolved cited work.

Comparison Geometry on Manifolds with Density via Modified Hessians Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-09T04:25:59.785470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:50a5fea3ed1529745cc33e27fa148afa6f0b58dce9042618c07aee99a163f4be

Observation 81d40dc5-4edb-47c5-8da3-8ad500beb1b4 · outbound

This paper cites Petersen,Riemannian Geometry, 3rd ed., Springer, New York, 2016.

Comparison Geometry on Manifolds with Density via Modified Hessians Petersen,Riemannian Geometry, 3rd ed., Springer, New York, 2016

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.787228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:48fa30cab159ea0cd7ebcc15e8036920e9e859af4a8cce4a908e32e46197851f

Observation a436faae-da6b-4aaf-9303-ea19882ecb61 · outbound

This paper cites Wei and W.

Comparison Geometry on Manifolds with Density via Modified Hessians Wei and W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.788956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:b81519e6d10a802ff85cb40e7d8bb62b1b707ca71f9f850b987cfd21271205d5

Observation cfee8e7b-4b55-4cc0-a4ec-973e9bd2b144 · outbound

This paper cites Wylie, Sectional curvature for Riemannian manifolds with density,Geom.

Comparison Geometry on Manifolds with Density via Modified Hessians Wylie, Sectional curvature for Riemannian manifolds with density,Geom

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.783782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:84940ea0ad10cbfeec005cec95a8392a55fd1cdec7ad312ef1569ee49770964d

Observation bacd5ce5-af7f-477d-9979-72024114a544 · outbound

This paper cites Kennard and W.

Comparison Geometry on Manifolds with Density via Modified Hessians Kennard and W

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.774725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:84393453a78a9d8c7c1fcc6cd4d4968e2f88de9fbcb44c9df4ef617a85c5a0f2

Observation 48744b97-5e7f-4267-8c0c-de607e6f5810 · outbound

This paper cites Wylie, Some curvature pinching results for Riemannian manifolds with density,Proc.

Comparison Geometry on Manifolds with Density via Modified Hessians Wylie, Some curvature pinching results for Riemannian manifolds with density,Proc

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T04:25:59.778480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:98c31792b6f22be02832c22f8b39aa7eb6b88b0b1ebe298c33caee72bc245e2f

Observation d668e512-6313-4577-bed8-10c1fc345152 · outbound

This paper cites On the geometry of Riemannian manifolds with density.

Comparison Geometry on Manifolds with Density via Modified Hessians On the geometry of Riemannian manifolds with density

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-06-30T12:54:40.074636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-30T12:50:57.828801Z digest=sha256:338e8920fe9c831f8d536f9f030760f085a3f37349aab2d8e7f1c90fcbdaddcc

Pith citing papers

No inbound Pith citation observations are available.