Pith Number

pith:4ZYEEPCJ

pith:2018:4ZYEEPCJ3Q4GSQQ6DHZWRKA2DB

not attested not anchored not stored refs pending

Expectation of the Largest bet size in Labouchere System

Guanyang Wang, Yanjun Han

arxiv:1807.11729 v3 · 2018-07-31 · math.PR · cs.DM · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZYEEPCJ3Q4GSQQ6DHZWRKA2DB}

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	2026-05-17T23:56:53.112392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e670423c49dc3869421e19f368a81a1846d57b9cb8cfe8bf452c18ccec5f5909

Aliases

arxiv: 1807.11729 · arxiv_version: 1807.11729v3 · doi: 10.48550/arxiv.1807.11729 · pith_short_12: 4ZYEEPCJ3Q4G · pith_short_16: 4ZYEEPCJ3Q4GSQQ6 · pith_short_8: 4ZYEEPCJ

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/4ZYEEPCJ3Q4GSQQ6DHZWRKA2DB \
  | 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: e670423c49dc3869421e19f368a81a1846d57b9cb8cfe8bf452c18ccec5f5909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4a8ef9f79f1b3f713ab00e16076698bffcfdc4cd2fb4a81230615c0649c38b",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-31T09:54:05Z",
    "title_canon_sha256": "d049ba728fca5544636ed7f84cb3d97220b5b766a325a1139f357d0f1cd34d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11729",
    "kind": "arxiv",
    "version": 3
  }
}