Pith Number

pith:HNGUTD7Y

pith:2024:HNGUTD7YCZ7B3ZREGBOP7PE45Z

not attested not anchored not stored refs pending

Probability that $n$ points are in convex position in a general convex polygon: Asymptotic results

Ludovic Morin

arxiv:2410.11706 v2 · 2024-10-15 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNGUTD7YCZ7B3ZREGBOP7PE45Z}

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	2026-05-20T00:05:25.946751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4d498ff8167e1de624305cffbc9cee534e55da2e232a80252992dcf7ba9907

Aliases

arxiv: 2410.11706 · arxiv_version: 2410.11706v2 · doi: 10.48550/arxiv.2410.11706 · pith_short_12: HNGUTD7YCZ7B · pith_short_16: HNGUTD7YCZ7B3ZRE · pith_short_8: HNGUTD7Y

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/HNGUTD7YCZ7B3ZREGBOP7PE45Z \
  | 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: 3b4d498ff8167e1de624305cffbc9cee534e55da2e232a80252992dcf7ba9907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825fbddadce00596390db6f011549c5e597078cffcbd3d261bc0cc5307d4a305",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-10-15T15:44:32Z",
    "title_canon_sha256": "b06f17d2286969c95a55fa8d1ceb1efafea515a9db214a25f2911d4d4dd6b612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.11706",
    "kind": "arxiv",
    "version": 2
  }
}