Pith Number

pith:PGPKKYCD

pith:2023:PGPKKYCDZMP4ATHWMBCTGAGCC3

not attested not anchored not stored refs pending

A sharp Harnack bound for a nonlocal heat equation

Mateusz Dembny, Miko{\l}aj Sier\.z\k{e}ga

arxiv:2303.08186 v1 · 2023-03-14 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGPKKYCDZMP4ATHWMBCTGAGCC3}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Geometric aspects of the Harnack Inequality for a nonlocal heat equation

Receipt and verification

First computed	2026-07-05T05:51:16.930968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799ea56043cb1fc04cf660453300c216c0d0e5e407efb0ab3ff97c23ccae9637

Aliases

arxiv: 2303.08186 · arxiv_version: 2303.08186v1 · doi: 10.48550/arxiv.2303.08186 · pith_short_12: PGPKKYCDZMP4 · pith_short_16: PGPKKYCDZMP4ATHW · pith_short_8: PGPKKYCD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGPKKYCDZMP4ATHWMBCTGAGCC3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 799ea56043cb1fc04cf660453300c216c0d0e5e407efb0ab3ff97c23ccae9637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b744a464a2165d583192ba26f7767f55b5d2e88e2957460aed7fd184ccd7749b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-03-14T19:13:28Z",
    "title_canon_sha256": "d043cd1083e169bfb298c316c718ced58d1dd8d3b79e56305c4b06b30eff436d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.08186",
    "kind": "arxiv",
    "version": 1
  }
}