Pith Number

pith:VELHJRML

pith:2012:VELHJRMLAW5MYTZYNJ4NMIZKID

not attested not anchored not stored refs pending

Calculating Kolmogorov Complexity from the Output Frequency Distributions of Small Turing Machines

Fernando Soler-Toscano, Hector Zenil, Jean-Paul Delahaye, Nicolas Gauvrit

arxiv:1211.1302 v2 · 2012-11-06 · cs.IT · cs.CC · math.IT · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VELHJRMLAW5MYTZYNJ4NMIZKID}

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	2026-05-18T02:25:05.510779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a91674c58b05bacc4f386a78d6232a40c1d91868c3bda33452d733d2c1f6bc20

Aliases

arxiv: 1211.1302 · arxiv_version: 1211.1302v2 · doi: 10.48550/arxiv.1211.1302 · pith_short_12: VELHJRMLAW5M · pith_short_16: VELHJRMLAW5MYTZY · pith_short_8: VELHJRML

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/VELHJRMLAW5MYTZYNJ4NMIZKID \
  | 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: a91674c58b05bacc4f386a78d6232a40c1d91868c3bda33452d733d2c1f6bc20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40a83ad00ada66832539b12aa9dcd97d8217e05564c08d7cb9d80cf00ea8370",
    "cross_cats_sorted": [
      "cs.CC",
      "math.IT",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-06T16:39:17Z",
    "title_canon_sha256": "62c5ec92be8ffb9d1da5083db1a00ebc9986de9fa0f2890681003142f3d3540a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1302",
    "kind": "arxiv",
    "version": 2
  }
}