Pith Number

pith:F5JB6JXY

pith:2013:F5JB6JXYIFIPVAOGMAIM2UROCT

not attested not anchored not stored refs pending

Dirichlet Heat Kernel Estimates for Subordinate Brownian Motions with Gaussian Components

Panki Kim, Renming Song, Zhen-Qing Chen

arxiv:1303.6626 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{F5JB6JXYIFIPVAOGMAIM2UROCT}

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	2026-05-18T03:29:40.254458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f521f26f84150fa81c66010cd522e14da3d13f4e3ca544b6860dada8db0f2c1

Aliases

arxiv: 1303.6626 · arxiv_version: 1303.6626v1 · doi: 10.48550/arxiv.1303.6626 · pith_short_12: F5JB6JXYIFIP · pith_short_16: F5JB6JXYIFIPVAOG · pith_short_8: F5JB6JXY

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/F5JB6JXYIFIPVAOGMAIM2UROCT \
  | 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: 2f521f26f84150fa81c66010cd522e14da3d13f4e3ca544b6860dada8db0f2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e183236c9f110e03acb73b0fe040ce98e7f2ea82d13350345131162c2b53b20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-26T12:13:19Z",
    "title_canon_sha256": "72ea7ab51c6c38631ca9344d6f7a1e5c07dfc7599e1d43f062b01b176e00b583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6626",
    "kind": "arxiv",
    "version": 1
  }
}