Pith Number

pith:KPTEBNUI

pith:2016:KPTEBNUIOXMXROI5UMNBO6KLE6

not attested not anchored not stored refs pending

Moderate deviations for Ewens-Pitman exchangeable random partitions

Fuqing Gao, Shui Feng, Stefano Favaro

arxiv:1610.03328 v1 · 2016-10-11 · 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{KPTEBNUIOXMXROI5UMNBO6KLE6}

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	2026-05-18T01:02:31.775496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e640b68875d978b91da31a17794b27a2425a7375abcde3b232df44ddda8817

Aliases

arxiv: 1610.03328 · arxiv_version: 1610.03328v1 · doi: 10.48550/arxiv.1610.03328 · pith_short_12: KPTEBNUIOXMX · pith_short_16: KPTEBNUIOXMXROI5 · pith_short_8: KPTEBNUI

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/KPTEBNUIOXMXROI5UMNBO6KLE6 \
  | 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: 53e640b68875d978b91da31a17794b27a2425a7375abcde3b232df44ddda8817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc017abcbf7787be2c3f695a3dca510093b87aae036928e074ca2f943fb7f458",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-11T13:36:49Z",
    "title_canon_sha256": "c1b944a1c97fa4d26317f48d55bb119c6b15e266c84bc00ae6a7883b8e022258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03328",
    "kind": "arxiv",
    "version": 1
  }
}