Pith Number

pith:L32T2NQ6

pith:2014:L32T2NQ6JVRTNL4OURZPCYECII

not attested not anchored not stored refs pending

Asymptotics of the convex hull of spherical samples

Enkelejd Hashorva

arxiv:1412.7831 v1 · 2014-12-25 · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L32T2NQ6JVRTNL4OURZPCYECII}

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	2026-05-18T02:30:25.032659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef53d361e4d6336af8ea472f1608242370dbfa8a058a74183032d0a80451486

Aliases

arxiv: 1412.7831 · arxiv_version: 1412.7831v1 · doi: 10.48550/arxiv.1412.7831 · pith_short_12: L32T2NQ6JVRT · pith_short_16: L32T2NQ6JVRTNL4O · pith_short_8: L32T2NQ6

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/L32T2NQ6JVRTNL4OURZPCYECII \
  | 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: 5ef53d361e4d6336af8ea472f1608242370dbfa8a058a74183032d0a80451486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cb9691ffff7dbb62c0519452b7f61a0114448a4b80ad57c16b783fdf4f465e",
    "cross_cats_sorted": [
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-25T15:49:41Z",
    "title_canon_sha256": "15fdadf5f1e8645836b8d77589be8a46620c81f3e359174268078d567f03b48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7831",
    "kind": "arxiv",
    "version": 1
  }
}