Pith Number

pith:4TU6V7B3

pith:2017:4TU6V7B3O4RLP7ERFI2EIBF7KZ

not attested not anchored not stored refs pending

On the Largest Part Size and Its Multiplicity of a Random Integer Partition

Ljuben Mutafchiev

arxiv:1712.03233 v1 · 2017-12-08 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TU6V7B3O4RLP7ERFI2EIBF7KZ}

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	2026-05-18T00:28:21.918828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e9eafc3b7722b7fc912a344404bf566d4cee4c094bcd73d1ccb2c4aac7faef

Aliases

arxiv: 1712.03233 · arxiv_version: 1712.03233v1 · doi: 10.48550/arxiv.1712.03233 · pith_short_12: 4TU6V7B3O4RL · pith_short_16: 4TU6V7B3O4RLP7ER · pith_short_8: 4TU6V7B3

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/4TU6V7B3O4RLP7ERFI2EIBF7KZ \
  | 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: e4e9eafc3b7722b7fc912a344404bf566d4cee4c094bcd73d1ccb2c4aac7faef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c538e0b0da2459d0ee6b47931165a7f48c85bb9ec94663130f1256f1923dff8a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-08T15:22:06Z",
    "title_canon_sha256": "5a67f3bf55640b488c59cf4e20b445dbf4fc1794cf7984064398f768147b1be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03233",
    "kind": "arxiv",
    "version": 1
  }
}