Pith Number

pith:6CAGCL4Q

pith:2009:6CAGCL4QRAEO45HYFCPTNTJ6KW

not attested not anchored not stored refs pending

Communication Complexity and Intrinsic Universality in Cellular Automata

Eric Goles Chacc, Guillaume Theyssier (LAMA), Ivan Rapaport (DIM), Pierre-Etienne Meunier (LAMA)

arxiv:0912.1777 v4 · 2009-12-09 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CAGCL4QRAEO45HYFCPTNTJ6KW}

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	2026-05-18T04:40:54.602292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f080612f908808ee74f8289f36cd3e55bfe75e757f74e2ff9f1c49e3cdd25e4b

Aliases

arxiv: 0912.1777 · arxiv_version: 0912.1777v4 · doi: 10.48550/arxiv.0912.1777 · pith_short_12: 6CAGCL4QRAEO · pith_short_16: 6CAGCL4QRAEO45HY · pith_short_8: 6CAGCL4Q

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/6CAGCL4QRAEO45HYFCPTNTJ6KW \
  | 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: f080612f908808ee74f8289f36cd3e55bfe75e757f74e2ff9f1c49e3cdd25e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2726a81191fc936ceade55f32ad3472c28b596e9d38645664deac3cb5ca5c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-12-09T15:53:24Z",
    "title_canon_sha256": "ba76c235ff4f90505be8b268391c682e41a778cca97d937bd4a1fc5f8a4a2a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1777",
    "kind": "arxiv",
    "version": 4
  }
}