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Paper Citation Record · LEDGER

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

As of 17 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.486649Z digest=sha256:d5b952ebe40b798a001e15d6046283948cfa26c72d9256079305be4e10c46247

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.491462Z digest=sha256:92fb3012d78d84718eebb6f098811a4872671a51289db808350c62ee8b41317c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.496354Z digest=sha256:d8f5e6d1755c0615e31e0a150b1160d658942c4755ba6cbf63b5a283a1beb394

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.500924Z digest=sha256:e73dd1a42b9cab0b134f46e422b586db573560b5285e63e429eeec47af12cee4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.505444Z digest=sha256:13b44e3c277c248cce9922d7d2ad1959435fc881ab9c188b15e26049d62ba57a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.510103Z digest=sha256:c3eddf27ea4530b0159b549aef2849f1d4cb14442eb8ad91cf61556147d962d5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.515546Z digest=sha256:bbb8993a5a7b367d8fd6e7fae560c46a7c2d7d7977459a0a46dc9579caa88788

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T05:25:10.520337Z digest=sha256:0452416fbc672be0aafa36dea57bac09fc1d7610b5cbd3aabcb2b097f6858f5f

Pith citing papers

No inbound Pith citation observations are available.