Paper Citation Record · LEDGER

Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs

As of 20 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 2 inbound Pith citation observations for arXiv:2501.18379.

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

pith.paper-citation-record.v1
2501.18379 v2

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:56:59.287367Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:13:32.431393Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T04:42:04.201982Z

Reference resolution

3 of 3 outbound references displayed

verified exact1
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1fce4e68-9028-4af2-948a-52c11efd4151 · outbound

This paper cites On the optimality and decay of p-Hardy weights on graphs.

Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs On the optimality and decay of p-Hardy weights on graphs

Reference 160

Resolution: verified exact; doi, observed 2026-08-09T23:56:59.325640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 178b7f79-095c-4b5a-8782-9ecb0d5a0388 · outbound

This paper cites The pr ehistory of the Hardy inequality.

Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs The pr ehistory of the Hardy inequality

Reference 249

Resolution: unresolved; no resolver link, observed 2026-08-09T23:56:59.287367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91b1f0dc-8fee-434d-9032-4b35320779a9 · outbound

This paper cites An improved discrete Rellich inequality on the half-line.

Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs An improved discrete Rellich inequality on the half-line

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-09T23:56:59.281783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0f3f34bd-06be-40a2-9843-af39f42de05c · inbound

An optimal fractional Hardy inequality on the discrete half-line cites this paper.

An optimal fractional Hardy inequality on the discrete half-line Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T19:13:32.431393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 551a82f7-d3d3-49fb-a0e1-0a4593676b3a · inbound

Characterizations of $p$-Parabolicity on Graphs cites this paper.

Characterizations of $p$-Parabolicity on Graphs Optimal Poincar\'e-Hardy-type Inequalities on Manifolds and Graphs

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-19T04:42:04.204388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.