Pith Number

pith:PV4PEK5Q

pith:2012:PV4PEK5QZ7B3K4UJDAYV2LO545

not attested not anchored not stored refs pending

Entropy rate of higher-dimensional cellular automata

Fran\c{c}ois Blanchard, Pierre Tisseur

arxiv:1206.6765 v1 · 2012-06-28 · math.DS · 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{PV4PEK5QZ7B3K4UJDAYV2LO545}

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	2026-05-18T03:52:16.080402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d78f22bb0cfc3b5728918315d2ddde7633b6efb0ade93a3be64cd6f8f66283f

Aliases

arxiv: 1206.6765 · arxiv_version: 1206.6765v1 · doi: 10.48550/arxiv.1206.6765 · pith_short_12: PV4PEK5QZ7B3 · pith_short_16: PV4PEK5QZ7B3K4UJ · pith_short_8: PV4PEK5Q

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/PV4PEK5QZ7B3K4UJDAYV2LO545 \
  | 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: 7d78f22bb0cfc3b5728918315d2ddde7633b6efb0ade93a3be64cd6f8f66283f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb2916ae6e1dc05d35d744f2e13317f71bd40e0932fa3a71c36e28621a1baee",
    "cross_cats_sorted": [
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-28T17:12:41Z",
    "title_canon_sha256": "bdeae8838ca289eaf8e728d18c11951e8629c019ef3ce729fb36f7fccaa16892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6765",
    "kind": "arxiv",
    "version": 1
  }
}