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Paper Citation Record · LEDGER

On the geometry of Riemannian manifolds with density

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1602.08000.

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

pith.paper-citation-record.v1
1602.08000 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:32.111629Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T12:54:40.073321Z

Reference resolution

0 of 0 outbound references displayed

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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 cc450d62-1125-4439-b3ad-6e7a34666ca1 · inbound

Some splitting and rigidity results for sub-static spaces cites this paper.

Some splitting and rigidity results for sub-static spaces On the geometry of Riemannian manifolds with density

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-05-23T08:17:43.835425Z

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=2026-05-23T08:15:38.021426Z digest=sha256:ee95196c43cf595857a873b3995f6db131e46deec7038d75b3d981c1c9ff3b3b

Observation f52267a2-a09b-43b5-8298-04b89fae8896 · inbound

Some splitting and rigidity results for sub-static spaces cites this paper.

Some splitting and rigidity results for sub-static spaces On the geometry of Riemannian manifolds with density

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-11T21:07:21.130522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:07:21.130522Z digest=sha256:0461483795dbd667a93ecc4d4004af51f296f9fb3938e22d4c75ce240d5c1a30

Observation ecaddfea-378c-4c1c-8425-ecdf2fc9ab86 · inbound

New perspectives on the d'Alembertian from general relativity. An invitation cites this paper.

New perspectives on the d'Alembertian from general relativity. An invitation On the geometry of Riemannian manifolds with density

Reference 179

Resolution
unresolved
no resolver link, observed 2026-08-09T21:36:03.429782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:36:03.429782Z digest=sha256:79758456cdbd46fe8ce7de883efb980ffdb7c960ad2aa192aaf2c8d169ab2507

Observation d2ee9650-a80d-4272-8c82-d082187dcd27 · inbound

Heat kernel estimate on weighted Riemannian manifolds under lower $N$-Ricci curvature bounds with $\epsilon$-range and it's application cites this paper.

Heat kernel estimate on weighted Riemannian manifolds under lower $N$-Ricci curvature bounds with $\epsilon$-range and it's application On the geometry of Riemannian manifolds with density

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T14:28:44.263898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:28:44.263898Z digest=sha256:adea1b6e8966c46ac692116f45db94d14f5cbc9d3cd0c8046fd08b7e3c0d4d3c

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

Comparison Geometry on Manifolds with Density via Modified Hessians cites this paper.

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

Observation b2b65982-e70e-4f08-9436-fab28ed91ce9 · inbound

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature cites this paper.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature On the geometry of Riemannian manifolds with density

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-15T15:22:32.111629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:22:32.111629Z digest=sha256:1263a4f36d62076d33e0d5d90a12f9766d6e6a2e873c817062a4290997e26781

Observation 07a97424-2945-467d-9ea2-1f3099dca0c2 · inbound

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity cites this paper.

Lower Bound for Weighted Intermediate Ricci Curvature and Tensorial Entropy Convexity On the geometry of Riemannian manifolds with density

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T15:08:23.679147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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