Pith Number

pith:4BBAVM37

pith:2012:4BBAVM37EJNKGCPFY2R5Y7A4ZH

not attested not anchored not stored refs pending

Is Wolfram and Cook's (2,5) Turing machine really universal?

Dominic J. D. Hughes

arxiv:1208.6342 v1 · 2012-08-31 · cs.FL · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BBAVM37EJNKGCPFY2R5Y7A4ZH}

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	2026-05-18T03:46:32.326107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0420ab37f225aa309e5c6a3dc7c1cc9c5ea0cc4ae1e2395b933c0ade31461e4

Aliases

arxiv: 1208.6342 · arxiv_version: 1208.6342v1 · doi: 10.48550/arxiv.1208.6342 · pith_short_12: 4BBAVM37EJNK · pith_short_16: 4BBAVM37EJNKGCPF · pith_short_8: 4BBAVM37

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/4BBAVM37EJNKGCPFY2R5Y7A4ZH \
  | 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: e0420ab37f225aa309e5c6a3dc7c1cc9c5ea0cc4ae1e2395b933c0ade31461e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b4cfc18298ee1ed5f2d5c31644de5611ff5b749ba888f03b823312f35888e6f",
    "cross_cats_sorted": [
      "cs.LO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-08-31T00:53:07Z",
    "title_canon_sha256": "bb58ba7b71543c9865735481523a91ade2d97ff1d0fd8a679d212ed5def6fdf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6342",
    "kind": "arxiv",
    "version": 1
  }
}