Pith Number

pith:AZXK2C6Z

pith:2003:AZXK2C6ZC3KK42GESDJQ34RTAG

not attested not anchored not stored refs pending

Entropy Estimates from Insufficient Samplings

P. Grassberger

arxiv:physics/0307138 v2 · 2003-07-29 · physics.data-an · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZXK2C6ZC3KK42GESDJQ34RTAG}

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

1 paper in Pith

SENECA: Small-Sample Discrete Entropy Estimation via Self-Consistent Missing Mass

Receipt and verification

First computed	2026-05-18T04:08:52.736910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066ead0bd916d4ae68c490d30df23301ae71f6f71de482275f8814ddf2942c70

Aliases

arxiv: physics/0307138 · arxiv_version: physics/0307138v2 · doi: 10.48550/arxiv.physics/0307138 · pith_short_12: AZXK2C6ZC3KK · pith_short_16: AZXK2C6ZC3KK42GE · pith_short_8: AZXK2C6Z

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/AZXK2C6ZC3KK42GESDJQ34RTAG \
  | 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: 066ead0bd916d4ae68c490d30df23301ae71f6f71de482275f8814ddf2942c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64ef0a1204642f7ab826fc84884bb34bb55bf99f8922dc591f229e0db793a8a",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "",
    "primary_cat": "physics.data-an",
    "submitted_at": "2003-07-29T11:39:02Z",
    "title_canon_sha256": "032b4d0f5563254c795d92e9ae037641cd5f6657647d5778ea9aa8ff5c5a287c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0307138",
    "kind": "arxiv",
    "version": 2
  }
}