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Paper Citation Record · LEDGER

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.486649Z digest=sha256:b2b8df599ce0d8aa9889eb9124775efd832b10b6104a457ebe23cb2e62e99e05

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.491462Z digest=sha256:33e208663eab5131859cc545fccc97ef654f01aa10130875818ec5c9e1404d29

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.496354Z digest=sha256:01173b5f51dd2694ee9839c3c9ab507c5f6c2329116de3025e921533ee9f0a8d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.500924Z digest=sha256:9edd5f98560355d87c08474893f41170ebc4ac501b1d947f080f4e4e691ec9aa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.505444Z digest=sha256:64895db65f59ae8ac6ed5b44b294249c1294f62e314d3422c1fd710ebe854471

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.510103Z digest=sha256:ff171a665f59cf96e5db3601ccf879212b3c916ff8fd3c611da98489e4791d51

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.515546Z digest=sha256:3fa83fb147e67455a6d927954db618a2d06e6843f16fe8e04fe38b16fb4c0491

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:25:10.520337Z digest=sha256:309bca78306cfabb1b4f44c70c0ba4136cf5351bc9a90c3e9caaa5d91ae2d5a4

Pith citing papers

No inbound Pith citation observations are available.