Pith Number

pith:Q72X75Q6

pith:2017:Q72X75Q6QVV7PVST2ABI7NTZ4R

not attested not anchored not stored refs pending

Ergodicity versus non-ergodicity for Probabilistic Cellular Automata on rooted trees

Bruno Kimura, Cristian Spitoni, Wioletta Ruszel

arxiv:1710.00084 v2 · 2017-09-29 · nlin.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q72X75Q6QVV7PVST2ABI7NTZ4R}

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	2026-05-17T23:55:05.292875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f57ff61e856bf7d653d0028fb679e45e8c19d98d7a8eeab69b120e5301cc6c

Aliases

arxiv: 1710.00084 · arxiv_version: 1710.00084v2 · doi: 10.48550/arxiv.1710.00084 · pith_short_12: Q72X75Q6QVV7 · pith_short_16: Q72X75Q6QVV7PVST · pith_short_8: Q72X75Q6

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/Q72X75Q6QVV7PVST2ABI7NTZ4R \
  | 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: 87f57ff61e856bf7d653d0028fb679e45e8c19d98d7a8eeab69b120e5301cc6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3a97cc815fc57ac35ae58859da655573f9a2d4f01b3750ca4d284b4a70cc59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2017-09-29T20:37:30Z",
    "title_canon_sha256": "eeb9aeb0dfafdf9646ba2146c290413bd1f36b878d4e98d1ab1d20c9424d40ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00084",
    "kind": "arxiv",
    "version": 2
  }
}