Pith Number

pith:EYOS3YWC

pith:2017:EYOS3YWCYQ4Y5PUKU6BSWWE3QZ

not attested not anchored not stored refs pending

A random walk approach to linear statistics in random tournament ensembles

Christopher H. Joyner, Uzy Smilansky

arxiv:1711.02072 v1 · 2017-11-06 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYOS3YWCYQ4Y5PUKU6BSWWE3QZ}

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	2026-05-18T00:31:14.448599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

261d2de2c2c4398ebe8aa7832b589b86574a889f331c731de494175ee763c3dd

Aliases

arxiv: 1711.02072 · arxiv_version: 1711.02072v1 · doi: 10.48550/arxiv.1711.02072 · pith_short_12: EYOS3YWCYQ4Y · pith_short_16: EYOS3YWCYQ4Y5PUK · pith_short_8: EYOS3YWC

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/EYOS3YWCYQ4Y5PUKU6BSWWE3QZ \
  | 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: 261d2de2c2c4398ebe8aa7832b589b86574a889f331c731de494175ee763c3dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a53e3fd7ae8bc10059b19072af307d3a0b25fb094d19a194d991c0c27de1a9c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-06T18:37:48Z",
    "title_canon_sha256": "9353fcfb4479c7db1e741e8281d703ae9f119b9fc4b8f73fc04970ce027eaf5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02072",
    "kind": "arxiv",
    "version": 1
  }
}