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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=sha256:181a548926589a534aded8a0d13e2a1c7adf2a48ed4789e49e7e901d1638e93c

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:c758b4b4d3c0844a04d4016ebe64809354590c5322393a48f9ac3ce991dec74c

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:ad998e93dbb03a2b18fc63cd0df82e1540d46622d8d13524e1619a6585048956

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=sha256:2e77f3fba5257d20bbd970b6133ef50c53680463d5fc8e95aef8a8deb5b0ce9d

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=sha256:57cd966e10b3ebdfc2de93531f67850e7d1888ef4aff9b99424e82b2ad717dbb

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=sha256:89b1d743b2997567c9a7eb464ff6e457bef46250104e68b31d5bb7efcb8792fc

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:e7b78cdd20384e93bed45346235d9fe7fb50575afa127cffb0d9606760a2fe4a

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=sha256:0e8320f059030cb6f139231e07165ccb61046c078c7640764006027efb0a36c0

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=sha256:6f487443313dde601e682212d25f9380d84440d25a6b7bae5a41f10863d74b28

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:a27ccad28f3efb50533166944085118dac5d19787b1913c5c09e9e92ed3a701a

Pith citing papers

No inbound Pith citation observations are available.