Pith Number

pith:QIMO2OPP

pith:2020:QIMO2OPPVLXVEJLBLCWZG2DSWT

not attested not anchored not stored refs pending

Evaluating moments of length of Pitman partition

Koji Tsukuda

arxiv:2008.12472 v7 · 2020-08-28 · 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{QIMO2OPPVLXVEJLBLCWZG2DSWT}

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	2026-07-01T00:17:06.960431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8218ed39efaaef52256158ad936872b4ddbd855d7878f0497022d92577dfcd48

Aliases

arxiv: 2008.12472 · arxiv_version: 2008.12472v7 · doi: 10.48550/arxiv.2008.12472 · pith_short_12: QIMO2OPPVLXV · pith_short_16: QIMO2OPPVLXVEJLB · pith_short_8: QIMO2OPP

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/QIMO2OPPVLXVEJLBLCWZG2DSWT \
  | 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: 8218ed39efaaef52256158ad936872b4ddbd855d7878f0497022d92577dfcd48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ae230fe62a1aed83b299c66c1e5b6728a5f32e742ece42084e3da9b59e884a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-08-28T04:03:28Z",
    "title_canon_sha256": "5c0e11bdabf2ab7994c1ffcb09ffa3324c257fc6bdd3a884c1fc9fed1ccf7574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.12472",
    "kind": "arxiv",
    "version": 7
  }
}