Pith Number

pith:2QW5MWZN

pith:2013:2QW5MWZNJQ4BFZXK4IMZHAO4NK

not attested not anchored not stored refs pending

Theory of Barnes Beta Distributions

Dmitry Ostrovsky

arxiv:1305.4422 v2 · 2013-05-20 · 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{2QW5MWZNJQ4BFZXK4IMZHAO4NK}

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	2026-05-18T02:57:52.948291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42dd65b2d4c3812e6eae2199381dc6aa64d3a4e2cff9403404646d8ef201b80

Aliases

arxiv: 1305.4422 · arxiv_version: 1305.4422v2 · doi: 10.48550/arxiv.1305.4422 · pith_short_12: 2QW5MWZNJQ4B · pith_short_16: 2QW5MWZNJQ4BFZXK · pith_short_8: 2QW5MWZN

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/2QW5MWZNJQ4BFZXK4IMZHAO4NK \
  | 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: d42dd65b2d4c3812e6eae2199381dc6aa64d3a4e2cff9403404646d8ef201b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d1c66842c05128dec657fbfc79a2bb0b3e66d015885b7965b5d5709e7a361c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-20T01:57:09Z",
    "title_canon_sha256": "c5be7212f1bb28fb01d54eeb0ad70d18de6bb4b08adbaa6468139176d1d3c86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4422",
    "kind": "arxiv",
    "version": 2
  }
}