Pith Number

pith:6Q7PJ7WL

pith:2013:6Q7PJ7WLVEW7T7LJEGG6OJ5IVR

not attested not anchored not stored refs pending

Bounded size bias coupling: a Gamma function bound, and universal Dickman-function behavior

Peter Baxendale, Richard Arratia

arxiv:1306.0157 v4 · 2013-06-01 · 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{6Q7PJ7WLVEW7T7LJEGG6OJ5IVR}

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	2026-05-18T02:47:44.957850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f43ef4fecba92df9fd69218de727a8ac7c31a48553713513f68d6a1ac75f8916

Aliases

arxiv: 1306.0157 · arxiv_version: 1306.0157v4 · doi: 10.48550/arxiv.1306.0157 · pith_short_12: 6Q7PJ7WLVEW7 · pith_short_16: 6Q7PJ7WLVEW7T7LJ · pith_short_8: 6Q7PJ7WL

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/6Q7PJ7WLVEW7T7LJEGG6OJ5IVR \
  | 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: f43ef4fecba92df9fd69218de727a8ac7c31a48553713513f68d6a1ac75f8916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbeb8aaff9b5bd023c3610d14a8cfa3a7f728e6a29a454e915acd6d342bec82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-01T23:18:26Z",
    "title_canon_sha256": "18fc7f7a3800f19ec6e77fe779b6d3b5494ca0dfb1f983cf052d27709df5750d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0157",
    "kind": "arxiv",
    "version": 4
  }
}