Pith Number

pith:5BGBYN7A

pith:2010:5BGBYN7A7ZRK6B5OOJE6N2EKQT

not attested not anchored not stored refs pending

Asymptotic distribution of conical-hull estimators of directional edges

Byeong U. Park, L\'eopold Simar, Seok-Oh Jeong

arxiv:1010.0312 v1 · 2010-10-02 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BGBYN7A7ZRK6B5OOJE6N2EKQT}

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	2026-05-18T04:39:58.678520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84c1c37e0fe62af07ae7249e6e88a84de9246a6b1bdf4c0a4bb3707bff3d512

Aliases

arxiv: 1010.0312 · arxiv_version: 1010.0312v1 · doi: 10.48550/arxiv.1010.0312 · pith_short_12: 5BGBYN7A7ZRK · pith_short_16: 5BGBYN7A7ZRK6B5O · pith_short_8: 5BGBYN7A

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/5BGBYN7A7ZRK6B5OOJE6N2EKQT \
  | 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: e84c1c37e0fe62af07ae7249e6e88a84de9246a6b1bdf4c0a4bb3707bff3d512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc5704df43e53024f943b41e20ac4597bdd11975288a5b5db50adeea0c10eba",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-02T09:01:12Z",
    "title_canon_sha256": "9c7ad0f71fb9bf92a0b167942e278cd75528fc6a9e9eec311a895ca39dc3fbd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0312",
    "kind": "arxiv",
    "version": 1
  }
}