Pith Number

pith:WJ2Y3SXA

pith:2012:WJ2Y3SXAAONV2S6O4OR3W4RGHD

not attested not anchored not stored refs pending

On the Finite Dimensional Joint Characteristic Function of L\'{e}vy's Stochastic Area Processes

Xi Geng, Zhongmin Qian

arxiv:1206.1241 v1 · 2012-06-06 · 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{WJ2Y3SXAAONV2S6O4OR3W4RGHD}

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	2026-05-18T03:54:06.595764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2758dcae0039b5d4bcee3a3bb722638f05b1c13f35488f316b6eda7f15c9469

Aliases

arxiv: 1206.1241 · arxiv_version: 1206.1241v1 · doi: 10.48550/arxiv.1206.1241 · pith_short_12: WJ2Y3SXAAONV · pith_short_16: WJ2Y3SXAAONV2S6O · pith_short_8: WJ2Y3SXA

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/WJ2Y3SXAAONV2S6O4OR3W4RGHD \
  | 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: b2758dcae0039b5d4bcee3a3bb722638f05b1c13f35488f316b6eda7f15c9469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5519afb8358c07251b10a2c466485062aeff6f6a912fa13d9fa970e701d83187",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-06T14:17:46Z",
    "title_canon_sha256": "fbf356afd66b99d6530208819d0b03c874d770310f587e226dce0e9591836e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1241",
    "kind": "arxiv",
    "version": 1
  }
}