Pith Number

pith:5ERHZDZE

pith:2019:5ERHZDZEC65WLJ7W5GDK3BWMWH

not attested not anchored not stored refs pending

Poisson limit for the number of cycles in a random permutation and the number of segregating sites

Helmut H. Pitters, Philip Weissmann

arxiv:1906.06336 v1 · 2019-06-14 · 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{5ERHZDZEC65WLJ7W5GDK3BWMWH}

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	2026-05-17T23:43:13.967306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9227c8f2417bb65a7f6e986ad86ccb1dd58013bb75431d90f709f8905957baa

Aliases

arxiv: 1906.06336 · arxiv_version: 1906.06336v1 · doi: 10.48550/arxiv.1906.06336 · pith_short_12: 5ERHZDZEC65W · pith_short_16: 5ERHZDZEC65WLJ7W · pith_short_8: 5ERHZDZE

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/5ERHZDZEC65WLJ7W5GDK3BWMWH \
  | 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: e9227c8f2417bb65a7f6e986ad86ccb1dd58013bb75431d90f709f8905957baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad72bdb47ae651ecd06027b858c9a1c64e206dd5e43882f5c1ed2cc0804b686",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-14T10:27:40Z",
    "title_canon_sha256": "9e27a649115cf2a9b46c51136e2ebf9f6e1821c6773f5a3151d5a390957c339b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06336",
    "kind": "arxiv",
    "version": 1
  }
}