Pith Number

pith:QQGPMZMB

pith:2026:QQGPMZMBRL3C7OVUDCF7X6P424

not attested not anchored not stored refs pending

A binomial-like probability distribution with heavy tails

J\"urgen Gro{\ss}

arxiv:2607.18083 v1 · 2026-07-20 · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQGPMZMBRL3C7OVUDCF7X6P424}

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	2026-07-21T02:22:15.503834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840cf665818af62fbab4188bfbf9fcd729ef863f8834cd7eb62dd16fe93af3af

Aliases

arxiv: 2607.18083 · arxiv_version: 2607.18083v1 · doi: 10.48550/arxiv.2607.18083 · pith_short_12: QQGPMZMBRL3C · pith_short_16: QQGPMZMBRL3C7OVU · pith_short_8: QQGPMZMB

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/QQGPMZMBRL3C7OVUDCF7X6P424 \
  | 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: 840cf665818af62fbab4188bfbf9fcd729ef863f8834cd7eb62dd16fe93af3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8a2ec53066e3cd4a43f7a478aac1f256c6fb320a7f6460839e2e79bb214ea2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-07-20T15:52:02Z",
    "title_canon_sha256": "9f9bb7fa09cefd55686cb97567d1fdb7bdaf57ba7b7603d8731bbbc2bd423224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18083",
    "kind": "arxiv",
    "version": 1
  }
}