Pith Number

pith:GC3QPKJU

pith:2009:GC3QPKJU4BRCT3GAY3QSWHUIBX

not attested not anchored not stored refs pending

Sharp heat kernel estimates for relativistic stable processes in open sets

Panki Kim, Renming Song, Zhen-Qing Chen

arxiv:0908.1509 v2 · 2009-08-11 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GC3QPKJU4BRCT3GAY3QSWHUIBX}

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	2026-05-18T03:44:47.605866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b707a934e06229ecc0c6e12b1e880dde098e9f626c0ece239677fe3fd1dd6e

Aliases

arxiv: 0908.1509 · arxiv_version: 0908.1509v2 · doi: 10.48550/arxiv.0908.1509 · pith_short_12: GC3QPKJU4BRC · pith_short_16: GC3QPKJU4BRCT3GA · pith_short_8: GC3QPKJU

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/GC3QPKJU4BRCT3GAY3QSWHUIBX \
  | 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: 30b707a934e06229ecc0c6e12b1e880dde098e9f626c0ece239677fe3fd1dd6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c8fbabd4af0cb6c978f34f1b04488dc291ebe186a945a908b6ee2753a88115",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-11T19:48:29Z",
    "title_canon_sha256": "b3865c4679afbd7d8a406a5c0b730563d8b761005f4865767d29a20c38b2c02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1509",
    "kind": "arxiv",
    "version": 2
  }
}