Pith Number

pith:4FAL2HX3

pith:2026:4FAL2HX3FGR6XQZZKOU4N4OSLZ

not attested not anchored not stored refs pending

A dice game, a multinomial walk, and the inverted Dirichlet distribution

Alexander Steinicke, Gunther Leobacher

arxiv:2605.21424 v1 · 2026-05-20 · 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{4FAL2HX3FGR6XQZZKOU4N4OSLZ}

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	2026-05-21T02:05:34.019215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e140bd1efb29a3ebc33953a9c6f1d25e476b0a2a320825fbe5a1fdbbe38de404

Aliases

arxiv: 2605.21424 · arxiv_version: 2605.21424v1 · doi: 10.48550/arxiv.2605.21424 · pith_short_12: 4FAL2HX3FGR6 · pith_short_16: 4FAL2HX3FGR6XQZZ · pith_short_8: 4FAL2HX3

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/4FAL2HX3FGR6XQZZKOU4N4OSLZ \
  | 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: e140bd1efb29a3ebc33953a9c6f1d25e476b0a2a320825fbe5a1fdbbe38de404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0e2fa1985cdbc25ec2a4b5ace3d1181515f71e0459b7058a539931e339fc54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T17:17:04Z",
    "title_canon_sha256": "98f16acc21de2fa0c0a92a4fcd0655b7d8f47e73eb430ef309c3c10f73f7eb81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21424",
    "kind": "arxiv",
    "version": 1
  }
}