Pith Number

pith:5AC7RTFO

pith:2025:5AC7RTFOXGCWY4FHKJKEPB7DHA

not attested not anchored not stored refs pending

Multiplicative Turing Ensembles, Pareto's Law, and Creativity

Aidan Rocke, Alexander Kolpakov

arxiv:2510.04167 v3 · 2025-10-05 · cs.IT · cs.CC · math-ph · math.IT · 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{5AC7RTFOXGCWY4FHKJKEPB7DHA}

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	2026-07-24T00:23:04.995841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e805f8ccaeb9856c70a752544787e3380fa53b7cdb116eb83de188cd045ff21a

Aliases

arxiv: 2510.04167 · arxiv_version: 2510.04167v3 · doi: 10.48550/arxiv.2510.04167 · pith_short_12: 5AC7RTFOXGCW · pith_short_16: 5AC7RTFOXGCWY4FH · pith_short_8: 5AC7RTFO

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/5AC7RTFOXGCWY4FHKJKEPB7DHA \
  | 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: e805f8ccaeb9856c70a752544787e3380fa53b7cdb116eb83de188cd045ff21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1ad6e1072c9a40bece59715b2ca5c43fa9ed3908c7ed4150a40522e5eec9b3",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-10-05T12:04:50Z",
    "title_canon_sha256": "fc8d926749088867f33cbb54edd7e08b66fc24923e8866ddd626069127d73441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.04167",
    "kind": "arxiv",
    "version": 3
  }
}