Pith Number

pith:LXXG5ZWE

pith:2012:LXXG5ZWE55F62KLWR5AV3D7YEH

not attested not anchored not stored refs pending

Additive Entropies of Partitions

Adam Paszkiewicz, Tomasz Sobieszek

arxiv:1202.4591 v2 · 2012-02-21 · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXXG5ZWE55F62KLWR5AV3D7YEH}

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	2026-05-18T02:21:17.691356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dee6ee6c4ef4bed29768f415d8ff821f5f53229f284392c9ea7680c2af147c1

Aliases

arxiv: 1202.4591 · arxiv_version: 1202.4591v2 · doi: 10.48550/arxiv.1202.4591 · pith_short_12: LXXG5ZWE55F6 · pith_short_16: LXXG5ZWE55F62KLW · pith_short_8: LXXG5ZWE

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/LXXG5ZWE55F62KLWR5AV3D7YEH \
  | 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: 5dee6ee6c4ef4bed29768f415d8ff821f5f53229f284392c9ea7680c2af147c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0dfbceb688359e8c0683f2c7375ddcd6e9c8fb0e4cfe77e9e67ff490b3e992",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-21T10:41:46Z",
    "title_canon_sha256": "675b6168521279a5c1b028abdc55d1ac2b8623c3cecdb025721addc8ef465987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4591",
    "kind": "arxiv",
    "version": 2
  }
}