Pith Number

pith:B3IVUI56

pith:2013:B3IVUI566XS2NQ6GINUBJ2YTOG

not attested not anchored not stored refs pending

On the heat kernel and the Dirichlet form of Liouville Brownian Motion

Christophe Garban, R\'emi Rhodes, Vincent Vargas

arxiv:1302.6050 v2 · 2013-02-25 · 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{B3IVUI566XS2NQ6GINUBJ2YTOG}

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	2026-05-18T02:40:02.335296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed15a23bef5e5a6c3c6436814eb1371acc4e6c6c541cb99d7457e73a46a88f4

Aliases

arxiv: 1302.6050 · arxiv_version: 1302.6050v2 · doi: 10.48550/arxiv.1302.6050 · pith_short_12: B3IVUI566XS2 · pith_short_16: B3IVUI566XS2NQ6G · pith_short_8: B3IVUI56

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/B3IVUI566XS2NQ6GINUBJ2YTOG \
  | 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: 0ed15a23bef5e5a6c3c6436814eb1371acc4e6c6c541cb99d7457e73a46a88f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fa9d53ee7c11e6bf8fa0321e795756ba94baeb5772aba5b009f1af19e846862",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-25T11:12:54Z",
    "title_canon_sha256": "0802ce1ca33df8f1a9b7eed651c8e2aab48b2132eb362c7548fe9e7074873dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6050",
    "kind": "arxiv",
    "version": 2
  }
}