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Paper Citation Record · LEDGER

Perelman's entropy and heat kernel bounds on RCD spaces

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2503.03017.

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

pith.paper-citation-record.v1
2503.03017 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 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:03:40.460621Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T04:52:03.727433Z

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 bcc8a1cb-c721-4c3d-bcce-dae255b32b40 · inbound

On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces cites this paper.

On Perelman's $W$-entropy and Shannon entropy power for super Ricci flows on metric measure spaces Perelman's entropy and heat kernel bounds on RCD spaces

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-16T00:03:40.460621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:03:40.460621Z digest=sha256:2db84bb492cf82b83c95bfb8ccb5b797b5588ca9128380f96ebbba26270d3848

Observation 7d42fa1d-26f5-44d5-8310-c738deea7aaf · inbound

Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics cites this paper.

Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics Perelman's entropy and heat kernel bounds on RCD spaces

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:52:03.729596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-19T04:49:09.926552Z digest=sha256:75fbef61e9c7d08289e7bb92bcae32b265f48dd32ba375980737d6676527e598