Pith Number

pith:EFTDZ2AV

pith:2011:EFTDZ2AV5XWRXBRL2LEZUWMLZU

not attested not anchored not stored refs pending

Algebraic and arithmetic area for $m$ planar Brownian paths

Jean DESBOIS, Stephane Ouvry

arxiv:1101.4135 v1 · 2011-01-21 · math-ph · cond-mat.stat-mech · 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{EFTDZ2AV5XWRXBRL2LEZUWMLZU}

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	2026-05-18T02:03:25.673509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21663ce815eded1b862bd2c99a598bcd3ed0b4f2bdaf52f6efabe9010b2d3819

Aliases

arxiv: 1101.4135 · arxiv_version: 1101.4135v1 · doi: 10.48550/arxiv.1101.4135 · pith_short_12: EFTDZ2AV5XWR · pith_short_16: EFTDZ2AV5XWRXBRL · pith_short_8: EFTDZ2AV

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/EFTDZ2AV5XWRXBRL2LEZUWMLZU \
  | 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: 21663ce815eded1b862bd2c99a598bcd3ed0b4f2bdaf52f6efabe9010b2d3819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47afb8ebad1f0788fbef3d634ffa1b21e8330d315fb6f4541ece0fb17eec37a8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-21T14:10:02Z",
    "title_canon_sha256": "b0a5a0066b81e28265723cd0e40625f037fa1f7d84beab4b964f9383d7c67272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4135",
    "kind": "arxiv",
    "version": 1
  }
}