Pith Number

pith:IMX6HUSW

pith:2016:IMX6HUSWDI5S2BCVRO6X4LZKMP

not attested not anchored not stored refs pending

Exact probability distribution functions for Parrondo's games

Andreas Klumper, David B Saakian, Rubina Zadourian

arxiv:1608.04482 v1 · 2016-08-16 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMX6HUSWDI5S2BCVRO6X4LZKMP}

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	2026-05-18T00:54:19.823833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432fe3d2561a3b2d04558bbd7e2f2a63ea292c919a3d1b27afd1c62b4f1b6a99

Aliases

arxiv: 1608.04482 · arxiv_version: 1608.04482v1 · doi: 10.48550/arxiv.1608.04482 · pith_short_12: IMX6HUSWDI5S · pith_short_16: IMX6HUSWDI5S2BCV · pith_short_8: IMX6HUSW

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/IMX6HUSWDI5S2BCVRO6X4LZKMP \
  | 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: 432fe3d2561a3b2d04558bbd7e2f2a63ea292c919a3d1b27afd1c62b4f1b6a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef049e9d60fea3318cdf8232f4eb4818afd20600eae261893f5fdb7d264f8050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-08-16T04:59:18Z",
    "title_canon_sha256": "db93ca094fdad730c132636dfe87e958735668ecdaf038ddc164719bcd63ad8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04482",
    "kind": "arxiv",
    "version": 1
  }
}