Pith Number

pith:4Y3CGFN6

pith:2011:4Y3CGFN6AT62D3TAFELPQNVGUU

not attested not anchored not stored refs pending

An additivity theorem for plain Kolmogorov complexity

Alexander Shen, Bruno Bauwens

arxiv:1111.4372 v2 · 2011-11-18 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4Y3CGFN6AT62D3TAFELPQNVGUU}

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	2026-05-18T04:02:14.785377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6362315be04fda1ee602916f836a6a532c2cbb1c8ccb7da73fccd8f7d794f41

Aliases

arxiv: 1111.4372 · arxiv_version: 1111.4372v2 · doi: 10.48550/arxiv.1111.4372 · pith_short_12: 4Y3CGFN6AT62 · pith_short_16: 4Y3CGFN6AT62D3TA · pith_short_8: 4Y3CGFN6

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/4Y3CGFN6AT62D3TAFELPQNVGUU \
  | 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: e6362315be04fda1ee602916f836a6a532c2cbb1c8ccb7da73fccd8f7d794f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c04fdfc5ca302e8e01c07a6fe66aafff7431efd37a68fa7886875ed9cc0806",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-11-18T14:27:43Z",
    "title_canon_sha256": "57fef6988c670101fe60a4f93cc5c814b075c967fe7c5a31676c2189848f7bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4372",
    "kind": "arxiv",
    "version": 2
  }
}