Pith Number

pith:XL5X7F4I

pith:2012:XL5X7F4IDAELZOKPU7THXY2Z7T

not attested not anchored not stored refs pending

Parrondo games with spatial dependence

Jiyeon Lee, S. N. Ethier

arxiv:1202.2609 v1 · 2012-02-13 · 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{XL5X7F4IDAELZOKPU7THXY2Z7T}

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	2026-05-18T03:50:50.261639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafb7f97881808bcb94fa7e67be359fcda1128339c85aee0144e10c22871e3f8

Aliases

arxiv: 1202.2609 · arxiv_version: 1202.2609v1 · doi: 10.48550/arxiv.1202.2609 · pith_short_12: XL5X7F4IDAEL · pith_short_16: XL5X7F4IDAELZOKP · pith_short_8: XL5X7F4I

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/XL5X7F4IDAELZOKPU7THXY2Z7T \
  | 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: bafb7f97881808bcb94fa7e67be359fcda1128339c85aee0144e10c22871e3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f2da9d00d8491c9273de36679d153bca958a5b96e414430ee92564f39916a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-13T03:02:32Z",
    "title_canon_sha256": "6e30cadc3b7d5a30467c2a37b783abd84a86d922da975245b9f4fe721413f092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2609",
    "kind": "arxiv",
    "version": 1
  }
}