Pith Number

pith:X3QKJJWL

pith:2010:X3QKJJWLLLZE6YLTAP7L4JV4QY

not attested not anchored not stored refs pending

Quadratic harnesses from generalized beta integrals

Wlodek Bryc

arxiv:1009.4928 v1 · 2010-09-24 · 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{X3QKJJWLLLZE6YLTAP7L4JV4QY}

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	2026-05-18T01:30:15.949667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee0a4a6cb5af24f617303febe26bc861e7e8967a91caf5b05b21619c4ea7961

Aliases

arxiv: 1009.4928 · arxiv_version: 1009.4928v1 · doi: 10.48550/arxiv.1009.4928 · pith_short_12: X3QKJJWLLLZE · pith_short_16: X3QKJJWLLLZE6YLT · pith_short_8: X3QKJJWL

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/X3QKJJWLLLZE6YLTAP7L4JV4QY \
  | 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: bee0a4a6cb5af24f617303febe26bc861e7e8967a91caf5b05b21619c4ea7961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52e82beaeaac900b55cbf4b39d958af5a80127771166d845b22878207941838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-24T19:58:45Z",
    "title_canon_sha256": "b80568e9198c1c064abb838666638044b543cf650e073faa83f5e36c23516569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4928",
    "kind": "arxiv",
    "version": 1
  }
}