Pith Number

pith:T2Z22PBJ

pith:2004:T2Z22PBJKUC4IWPXIND6RJ3U22

not attested not anchored not stored refs pending

Shannon Information and Kolmogorov Complexity

Paul Vitanyi (CWI, Peter Grunwald (CWI), University of Amsterdam)

arxiv:cs/0410002 v1 · 2004-10-01 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2Z22PBJKUC4IWPXIND6RJ3U22}

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.

Cited by

3 papers in Pith

Tighter Bounds for Algorithmic Complexity Estimation Using a Reusable Code-Based Block Decomposition Method

Forget BIT, It is All about TOKEN: Towards Semantic Information Theory for LLMs

Manifold Steering Reveals the Shared Geometry of Neural Network Representation and Behavior

Receipt and verification

First computed	2026-07-05T01:20:35.886830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb3ad3c295505c459f74347e8a774d6b5dcf6b20c0ede873322747f4495b7ef

Aliases

arxiv: cs/0410002 · arxiv_version: cs/0410002v1 · doi: 10.48550/arxiv.cs/0410002 · pith_short_12: T2Z22PBJKUC4 · pith_short_16: T2Z22PBJKUC4IWPX · pith_short_8: T2Z22PBJ

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/T2Z22PBJKUC4IWPXIND6RJ3U22 \
  | 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: 9eb3ad3c295505c459f74347e8a774d6b5dcf6b20c0ede873322747f4495b7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe4237f7941a21846042819b0381d587168b15e3a6cf3d065fd2f918cafd1b6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2004-10-01T16:54:45Z",
    "title_canon_sha256": "2b7d7270fa79bccca0e1d27e7e993408f5f52bac2d50041c4ecf6ce6c05c418c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0410002",
    "kind": "arxiv",
    "version": 1
  }
}