Pith Number

pith:QXZX5TGI

pith:2011:QXZX5TGIH4MKYIEEOIHJUPHUYZ

not attested not anchored not stored refs pending

The Size of the Largest Part of Random Weighted Partitions of Large Integers

Ljuben Mutafchiev

arxiv:1107.4754 v2 · 2011-07-24 · 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{QXZX5TGIH4MKYIEEOIHJUPHUYZ}

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	2026-05-18T03:35:38.800636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f37eccc83f18ac2084720e9a3cf4c67245b175f40c6a43d20429ea856bbb65

Aliases

arxiv: 1107.4754 · arxiv_version: 1107.4754v2 · doi: 10.48550/arxiv.1107.4754 · pith_short_12: QXZX5TGIH4MK · pith_short_16: QXZX5TGIH4MKYIEE · pith_short_8: QXZX5TGI

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/QXZX5TGIH4MKYIEEOIHJUPHUYZ \
  | 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: 85f37eccc83f18ac2084720e9a3cf4c67245b175f40c6a43d20429ea856bbb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753a5b64fb96dad6c9e5c790344c94b2f7c31b13733d42a6cfa3d7b46eec85b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-24T13:17:37Z",
    "title_canon_sha256": "345c63fc6ceaddd5b17432209b2fb478ede03b22ee5479a92af49ad039959a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4754",
    "kind": "arxiv",
    "version": 2
  }
}