Pith Number

pith:UMSTXWBP

pith:2024:UMSTXWBP6CRZ42646LC62BDPOU

not attested not anchored not stored refs pending

A proof that HT is more likely to outnumber HH than vice versa in a sequence of n coin flips

Simon Segert

arxiv:2405.16660 v1 · 2024-05-26 · math.CO · 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{UMSTXWBP6CRZ42646LC62BDPOU}

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.

Cited by

1 paper in Pith

Moments for generalizations of a coin flip game

Receipt and verification

First computed	2026-07-05T08:23:33.675107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3253bd82ff0a39e6bdcf2c5ed046f7528771d36eeb9374f2785df08deb1736e

Aliases

arxiv: 2405.16660 · arxiv_version: 2405.16660v1 · doi: 10.48550/arxiv.2405.16660 · pith_short_12: UMSTXWBP6CRZ · pith_short_16: UMSTXWBP6CRZ4264 · pith_short_8: UMSTXWBP

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/UMSTXWBP6CRZ42646LC62BDPOU \
  | 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: a3253bd82ff0a39e6bdcf2c5ed046f7528771d36eeb9374f2785df08deb1736e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4b6eade80e9e43c7d2f6608e33df50fe42b66349f2b514fee41038c2742a79",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-26T18:49:40Z",
    "title_canon_sha256": "0dea7382f915b7292f42b8e9f22847d55278763254e664e2bf0ed81b097dac03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.16660",
    "kind": "arxiv",
    "version": 1
  }
}