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Paper Citation Record · LEDGER

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

As of 20 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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.486649Z digest=sha256:d9cebb2db3d2484b41feb8701fc38476ff19dde75cdfd7d2570f1a19e2d920a6

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.491462Z digest=sha256:45ae9a3bcd8dc5769baa14454c43064774adfc87dcf4942d37794bdfb3e0aa60

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.496354Z digest=sha256:1490657b221eca2ba0b0e5f1ab7bd76df6494f2b75fbb0889a66341e9876aa30

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.500924Z digest=sha256:1635a0efd5fe0a00f66ebe7c0761343db257b8e71877636a06f963e73f9a8b8f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.505444Z digest=sha256:280f5916b2f15028841e9a6ca4c63ec4d60d46c00e1401ac19e1ba6f9aeb5d50

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.510103Z digest=sha256:3b24cfe7142eb6142fe9e356654daf0411b023cb703543914889dbf83c1399e8

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.515546Z digest=sha256:33cfca7ff05c845b3e489772f50c5cf5db2cd4331b93445afc34042acb7fbbb7

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:25:10.520337Z digest=sha256:6bcd01b11b3e3085eefc37dfc0d81f06f38b2bb5071925e9e24db90d6196e026

Pith citing papers

No inbound Pith citation observations are available.