Pith Number

pith:MXJP5YGM

pith:2013:MXJP5YGMXJ4EAFIADQCGX24DHN

not attested not anchored not stored refs pending

Dirichlet Heat Kernel Estimates for Rotationally Symmetric L\'evy processes

Panki Kim, Renming Song, Zhen-Qing Chen

arxiv:1303.6449 v1 · 2013-03-26 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXJP5YGMXJ4EAFIADQCGX24DHN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:44:29.915137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d2fee0ccba784015001c046beb833b55dcc3612d76491ae1a1a9805dc3d490

Aliases

arxiv: 1303.6449 · arxiv_version: 1303.6449v1 · doi: 10.48550/arxiv.1303.6449 · pith_short_12: MXJP5YGMXJ4E · pith_short_16: MXJP5YGMXJ4EAFIA · pith_short_8: MXJP5YGM

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/MXJP5YGMXJ4EAFIADQCGX24DHN \
  | 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: 65d2fee0ccba784015001c046beb833b55dcc3612d76491ae1a1a9805dc3d490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30989ca8033ea08469e873479c38cd5dd7c64058e96e8dcafcbb774e1d32020a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-26T12:05:23Z",
    "title_canon_sha256": "cd77588d9c7b8ec434df081eed5c72127c4419b289e6c494a9bd8d9a2e94a0fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6449",
    "kind": "arxiv",
    "version": 1
  }
}