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Paper Citation Record · LEDGER

Li-Yau inequality under $CD(0,n)$ on graphs

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1909.10242.

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

pith.paper-citation-record.v1
1909.10242 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 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:04:37.605461Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:04:37.695168Z

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 c7159e0a-d248-476f-8593-617a272b61df · inbound

Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis cites this paper.

Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis Li-Yau inequality under $CD(0,n)$ on graphs

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:04:37.702562Z

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=2026-08-15T18:04:37.605461Z digest=sha256:2f61f252d7480956f7fd480f89721686da7989e78f19af1773943e9f9d1a2f13

Observation 33d29861-e71e-4295-893f-492b237a0863 · inbound

Nonnegative Bakry--\'Emery Curvature on Bounded-Degree Graphs Implies Volume Doubling and Poincar\'e Inequalities cites this paper.

Nonnegative Bakry--\'Emery Curvature on Bounded-Degree Graphs Implies Volume Doubling and Poincar\'e Inequalities Li-Yau inequality under $CD(0,n)$ on graphs

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-01T23:18:32.344523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:18:32.344523Z digest=sha256:c0d4b8c87cffd886c831a685ffde8f16be36cb85789240789f08e2f457947fba