Pith Number

pith:ZGZZJXYK

pith:2016:ZGZZJXYK2UHTDIZKU3DY4XVWDF

not attested not anchored not stored refs pending

Sum of exit times in series of metastable states in Probabilistic Cellular Automata

Cristian Spitoni, Emilio N.M. Cirillo, Francesca R. Nardi

arxiv:1603.08792 v1 · 2016-03-29 · math-ph · 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{ZGZZJXYK2UHTDIZKU3DY4XVWDF}

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	2026-05-18T01:18:05.318114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b394df0ad50f31a32aa6c78e5eb6194047e4363009f8e6275e8782cb24f083

Aliases

arxiv: 1603.08792 · arxiv_version: 1603.08792v1 · doi: 10.48550/arxiv.1603.08792 · pith_short_12: ZGZZJXYK2UHT · pith_short_16: ZGZZJXYK2UHTDIZK · pith_short_8: ZGZZJXYK

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/ZGZZJXYK2UHTDIZKU3DY4XVWDF \
  | 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: c9b394df0ad50f31a32aa6c78e5eb6194047e4363009f8e6275e8782cb24f083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bea54a28dbc8f36cd46e4c97747f0c4113bc51b45fd7c4b94e7f156bfd87ed8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-29T14:35:56Z",
    "title_canon_sha256": "fd97f45dd2a170a7c0fad27484aeaee0a3cca2ebbeb8c873cc290b2020465183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08792",
    "kind": "arxiv",
    "version": 1
  }
}