Pith Number

pith:QMFASGSV

pith:2013:QMFASGSVOKRAHAZHWN4X23QZ5V

not attested not anchored not stored refs pending

Liouville Brownian motion

Christophe Garban, R\'emi Rhodes, Vincent Vargas

arxiv:1301.2876 v4 · 2013-01-14 · 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{QMFASGSVOKRAHAZHWN4X23QZ5V}

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	2026-05-18T01:06:24.879381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830a091a5572a2038327b3797d6e19ed781e2fd1c56d08aefd283017278848d9

Aliases

arxiv: 1301.2876 · arxiv_version: 1301.2876v4 · doi: 10.48550/arxiv.1301.2876 · pith_short_12: QMFASGSVOKRA · pith_short_16: QMFASGSVOKRAHAZH · pith_short_8: QMFASGSV

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/QMFASGSVOKRAHAZHWN4X23QZ5V \
  | 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: 830a091a5572a2038327b3797d6e19ed781e2fd1c56d08aefd283017278848d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a81ad79c67afe3793fd927f1c526fb78a1ca5dbdb3c6f65bf59541519fd180e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-14T07:46:22Z",
    "title_canon_sha256": "20a2ccb8fe1f823e7105dc1500c96051d7fe42b4e36f4ac7d0bc50d30f0d028c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2876",
    "kind": "arxiv",
    "version": 4
  }
}