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Paper Citation Record · LEDGER

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

As of 19 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2506.08187.

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

pith.paper-citation-record.v1
2506.08187 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:25:10.520337Z

measured 8 of 8 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

8 of 8 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6710014e-d852-441b-a2fc-5dedc2fe0860 · outbound

This paper cites Barrios, I.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Barrios, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.663602Z

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=2026-08-07T05:25:10.486649Z digest=sha256:a015dd383074fe1406960484e573bc1711cd35677266de247465bcec3d1db74e

Observation 69df3a40-76af-48b8-b9e0-0142df19b5fe · outbound

This paper cites A sharp Harnack bound for a nonlocal heat equation.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation A sharp Harnack bound for a nonlocal heat equation

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:25:10.561878Z

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=2026-08-07T05:25:10.491462Z digest=sha256:41aaa1cb646482f39ee4b4a59e9d8d1b198420b8a664066c57344f508ab0a1aa

Observation defa55b7-7411-448b-b559-c48016ec10eb · outbound

This paper cites Garof alo, Fractional thoughts, in New developments in the analysis of nonlocal operators, vol.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Garof alo, Fractional thoughts, in New developments in the analysis of nonlocal operators, vol

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.650103Z

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=2026-08-07T05:25:10.496354Z digest=sha256:7de19e5c049cbeb62c777fe33131e9f75a38413270fc72293ba966bd53c5bba4

Observation 177aae5e-8baf-48da-acfd-017bca38a5f4 · outbound

This paper cites Hadamard , Extension à l’équation de la chaleur d’un théorème de A.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Hadamard , Extension à l’équation de la chaleur d’un théorème de A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.634997Z

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=2026-08-07T05:25:10.500924Z digest=sha256:5aeb606699c89343401280d38925584b3eae22e20af1a8aed73c96ba39e474b6

Observation 886fe654-750b-486d-bf08-94094adf885b · outbound

This paper cites an unresolved cited work.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:25:10.621206Z

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=2026-08-07T05:25:10.505444Z digest=sha256:4d8361a024524fbcdfe602b5904fb88c931435ad1170798f6d11e341a47d6948

Observation f4b20337-eba2-422b-b794-858bf5966d6c · outbound

This paper cites Li and S.-T.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Li and S.-T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.607196Z

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=2026-08-07T05:25:10.510103Z digest=sha256:d1aa42468fbfd10d22dbe35ad267ea8e159279709feac1c8a75dcf29895d1e12

Observation 19f038a5-8376-4caa-b476-4aa964fa5c4f · outbound

This paper cites Pini , Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico, Rend.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Pini , Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico, Rend

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.591041Z

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=2026-08-07T05:25:10.515546Z digest=sha256:b55e350b68cfe7a6fd89e7839925c48489833ce4a82d6138400e72719ef44e3a

Observation 7e164876-7339-4ff8-89b9-1f8d35b9e79b · outbound

This paper cites Weber and R.

Geometric aspects of the Harnack Inequality for a nonlocal heat equation Weber and R

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:25:10.577108Z

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=2026-08-07T05:25:10.520337Z digest=sha256:0b59452b3c0423b0c5b91a43dbb01dbbfb6561e9e5c525c6b26982cc059841de

Pith citing papers

No inbound Pith citation observations are available.