Pith Number

pith:6NUM4GSG

pith:2012:6NUM4GSGEMCFCJXWT5ARCFNBEL

not attested not anchored not stored refs pending

Mean exit time and escape probability for dynamical systems driven by Levy noise

Jinqiao Duan, Renming Song, Ting Gao, Xiaofan Li

arxiv:1201.6015 v1 · 2012-01-29 · math.NA · math.DS · 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{6NUM4GSGEMCFCJXWT5ARCFNBEL}

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	2026-05-18T04:03:33.993525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f368ce1a4623045126f69f411115a122e18800a9a88845e867d181d13d833ca2

Aliases

arxiv: 1201.6015 · arxiv_version: 1201.6015v1 · doi: 10.48550/arxiv.1201.6015 · pith_short_12: 6NUM4GSGEMCF · pith_short_16: 6NUM4GSGEMCFCJXW · pith_short_8: 6NUM4GSG

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/6NUM4GSGEMCFCJXWT5ARCFNBEL \
  | 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: f368ce1a4623045126f69f411115a122e18800a9a88845e867d181d13d833ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d371a3bd5619e8f3e31f290654842fa7331027725566e16efd8cfe649a03e3e1",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-01-29T06:32:11Z",
    "title_canon_sha256": "57b616151306e2cd46677b6f50299361505dfaeb95d8669f543285de6359569d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6015",
    "kind": "arxiv",
    "version": 1
  }
}