Pith Number

pith:L5MOFUUE

pith:2024:L5MOFUUEQL7I2X7ZSBHRGPI5QK

not attested not anchored not stored refs pending

How to Answer Questions of the Type: If you toss a coin n times, how likely is HH to show up more than HT?

Doron Zeilberger, Shalosh B. Ekhad

arxiv:2405.13561 v1 · 2024-05-22 · 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{L5MOFUUEQL7I2X7ZSBHRGPI5QK}

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

On Two Combinatorial Inequalities That Explain the Blimpy Shape of Heady-s and Taily-s Bit Strings

Receipt and verification

First computed	2026-07-05T08:22:04.477498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f58e2d28482fe8d5ff9904f133d1d82ba7c546661baa0f1f935f51104e78704

Aliases

arxiv: 2405.13561 · arxiv_version: 2405.13561v1 · doi: 10.48550/arxiv.2405.13561 · pith_short_12: L5MOFUUEQL7I · pith_short_16: L5MOFUUEQL7I2X7Z · pith_short_8: L5MOFUUE

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/L5MOFUUEQL7I2X7ZSBHRGPI5QK \
  | 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: 5f58e2d28482fe8d5ff9904f133d1d82ba7c546661baa0f1f935f51104e78704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5d9f7871a34d8867e72e33d9134f07542bf97940b6642140d7b67d3a15018f1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-22T11:49:58Z",
    "title_canon_sha256": "c2f449ec933fa2446fe42b63e9555c429d3a7eae4b4a12d23bfff64e81b2435e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.13561",
    "kind": "arxiv",
    "version": 1
  }
}