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Paper Citation Record · LEDGER

New Heintze-Karcher type inequalities in sub-static warped product manifolds

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2504.15109.

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

pith.paper-citation-record.v1
2504.15109 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:45:54.091609Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:04:39.462493Z

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 002742d1-8c2e-459d-92dc-c34635953d87 · inbound

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds cites this paper.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds New Heintze-Karcher type inequalities in sub-static warped product manifolds

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:04:39.465223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T15:04:39.391610Z digest=sha256:afc7b4ce60a4aef1cea5ea89b4e96b88980c90ebd2a64739155f03162f5ffcfd

Observation 90684afa-b160-4b9e-9054-3d3c9638ba98 · inbound

An Alexandrov-type theorem in warped product manifolds with radial density cites this paper.

An Alexandrov-type theorem in warped product manifolds with radial density New Heintze-Karcher type inequalities in sub-static warped product manifolds

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T04:45:54.091609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:45:54.091609Z digest=sha256:2601b827ce741a97c8bab829ac80ee6c47e4cffed71e87936e9e7193e35bf1aa