Pith Number

pith:IDQ2UDCJ

pith:2012:IDQ2UDCJLZDFRJYKDJZCDPN7NU

not attested not anchored not stored refs pending

On stationary distributions of stochastic neural networks

Geoffrey Decrouez, Konstantin Borovkov, Matthieu Gilson

arxiv:1206.4489 v1 · 2012-06-20 · 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{IDQ2UDCJLZDFRJYKDJZCDPN7NU}

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	2026-05-18T03:53:05.728111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e1aa0c495e4658a70a1a7221bdbf6d3bdb82cc1190f52c6af2cc8d0ef978d0

Aliases

arxiv: 1206.4489 · arxiv_version: 1206.4489v1 · doi: 10.48550/arxiv.1206.4489 · pith_short_12: IDQ2UDCJLZDF · pith_short_16: IDQ2UDCJLZDFRJYK · pith_short_8: IDQ2UDCJ

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/IDQ2UDCJLZDFRJYKDJZCDPN7NU \
  | 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: 40e1aa0c495e4658a70a1a7221bdbf6d3bdb82cc1190f52c6af2cc8d0ef978d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfcdfde8717ca280b113f6d299bfcf116f382733896e3ee68e748f86536498ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-20T13:29:26Z",
    "title_canon_sha256": "e93a0daf1f1921e0b9d8c732664dfda99cec58b43604f290a4a3b3593fb49e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4489",
    "kind": "arxiv",
    "version": 1
  }
}