Pith Number

pith:ZNZHSDJW

pith:2014:ZNZHSDJWN7NX23REEKRHOQYM2X

not attested not anchored not stored refs pending

Parrondo games with spatial dependence, III

Jiyeon Lee, S. N. Ethier

arxiv:1412.7699 v1 · 2014-12-24 · math.PR · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNZHSDJWN7NX23REEKRHOQYM2X}

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	2026-05-18T01:27:24.317025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb72790d366fdb7d6e2422a277430cd5c0b22db112258a1c35144123b55cf199

Aliases

arxiv: 1412.7699 · arxiv_version: 1412.7699v1 · doi: 10.48550/arxiv.1412.7699 · pith_short_12: ZNZHSDJWN7NX · pith_short_16: ZNZHSDJWN7NX23RE · pith_short_8: ZNZHSDJW

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/ZNZHSDJWN7NX23REEKRHOQYM2X \
  | 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: cb72790d366fdb7d6e2422a277430cd5c0b22db112258a1c35144123b55cf199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b1a22b36220b0c5ea2f7c18540bf27f144cf782b9f8fe77bb7efbba324878f2",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-24T16:15:03Z",
    "title_canon_sha256": "4217e0c78f1555bce259e1545d57796474d35e68bfbeba6dd96b149e15e71b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7699",
    "kind": "arxiv",
    "version": 1
  }
}