Pith Number

pith:BRJLJ2VI

pith:2012:BRJLJ2VIKYLQ2J2YYXDRRB25Y6

not attested not anchored not stored refs pending

L\'evy Processes in a Step 3 Nilpotent Lie Group

John Haga, Maria Gordina

arxiv:1207.0304 v2 · 2012-07-02 · 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{BRJLJ2VIKYLQ2J2YYXDRRB25Y6}

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	2026-05-18T03:51:57.900143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c52b4eaa856170d2758c5c718875dc791bede30deb72d9035048934124c160b

Aliases

arxiv: 1207.0304 · arxiv_version: 1207.0304v2 · doi: 10.48550/arxiv.1207.0304 · pith_short_12: BRJLJ2VIKYLQ · pith_short_16: BRJLJ2VIKYLQ2J2Y · pith_short_8: BRJLJ2VI

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/BRJLJ2VIKYLQ2J2YYXDRRB25Y6 \
  | 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: 0c52b4eaa856170d2758c5c718875dc791bede30deb72d9035048934124c160b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "827c4d7b4c1947302addbfcd8d41a72af11311ccb4bf6281b93e9531b2b2c845",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-02T08:01:33Z",
    "title_canon_sha256": "d5c5f4998a9b620b7dd5be240d617732cb5643cfee2902bd6180453c152ff0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0304",
    "kind": "arxiv",
    "version": 2
  }
}