Pith Number

pith:XACLWECY

pith:2014:XACLWECYAFKCOS2OHI7YH4ZWQO

not attested not anchored not stored refs pending

Probability that n random points in a disk are in convex position

Jean-Fran\c{c}ois Marckert

arxiv:1402.3512 v1 · 2014-02-14 · math.PR · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XACLWECYAFKCOS2OHI7YH4ZWQO}

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	2026-05-18T02:58:58.550740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b804bb10580154274b4e3a3f83f33683b285efa1f0986a6572d8eaa85c21404a

Aliases

arxiv: 1402.3512 · arxiv_version: 1402.3512v1 · doi: 10.48550/arxiv.1402.3512 · pith_short_12: XACLWECYAFKC · pith_short_16: XACLWECYAFKCOS2O · pith_short_8: XACLWECY

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/XACLWECYAFKCOS2OHI7YH4ZWQO \
  | 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: b804bb10580154274b4e3a3f83f33683b285efa1f0986a6572d8eaa85c21404a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34587ab0b91dd3cd65a2b80a5e1c6a8e074feb8a25fbd0598d2f1f9ba41ce344",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-14T16:06:35Z",
    "title_canon_sha256": "d3f1923991706e24d911a4c9e9aa89846f0e449b4d60e95a4100176b12b2604d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3512",
    "kind": "arxiv",
    "version": 1
  }
}