Pith Number

pith:3KAK7ZER

pith:2011:3KAK7ZERCWFGTLQZ7ZBNF6FKRU

not attested not anchored not stored refs pending

Transition from ergodic to explosive behavior in a family of stochastic differential equations

David P. Herzog, Jan Wehr, Jeremiah Birrell

arxiv:1105.2378 v1 · 2011-05-12 · math.PR · math-ph · math.DS · 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{3KAK7ZERCWFGTLQZ7ZBNF6FKRU}

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	2026-05-18T02:47:41.535770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da80afe491158a69ae19fe42d2f8aa8d23759a2ef7d1d92fcdefa96b320f2f2a

Aliases

arxiv: 1105.2378 · arxiv_version: 1105.2378v1 · doi: 10.48550/arxiv.1105.2378 · pith_short_12: 3KAK7ZERCWFG · pith_short_16: 3KAK7ZERCWFGTLQZ · pith_short_8: 3KAK7ZER

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/3KAK7ZERCWFGTLQZ7ZBNF6FKRU \
  | 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: da80afe491158a69ae19fe42d2f8aa8d23759a2ef7d1d92fcdefa96b320f2f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0262b4ed65fb4d3c4a53c7389faf05b9640ee195e6e47c1303c801335a6cfa14",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-12T05:49:29Z",
    "title_canon_sha256": "94991ad9aae25464931fc2f25b086ccbd5e3fdea64c989f9c1976b7ab01c4769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2378",
    "kind": "arxiv",
    "version": 1
  }
}