Pith Number

pith:KKJU7WW2

pith:2017:KKJU7WW25JNWH4Y2U7QRR7QFKN

not attested not anchored not stored refs pending

Halfspace depths for scatter, concentration and shape matrices

Davy Paindaveine, Germain Van Bever

arxiv:1704.06160 v4 · 2017-04-20 · 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{KKJU7WW25JNWH4Y2U7QRR7QFKN}

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	2026-05-18T00:31:58.884199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52934fdadaea5b63f31aa7e118fe05535d781f469894812c85a4009971e8685b

Aliases

arxiv: 1704.06160 · arxiv_version: 1704.06160v4 · doi: 10.48550/arxiv.1704.06160 · pith_short_12: KKJU7WW25JNW · pith_short_16: KKJU7WW25JNWH4Y2 · pith_short_8: KKJU7WW2

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/KKJU7WW25JNWH4Y2U7QRR7QFKN \
  | 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: 52934fdadaea5b63f31aa7e118fe05535d781f469894812c85a4009971e8685b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcf7b32bd5ba280363a859f0ac9cfd7c394f257c93b1f832633d830ab85bf9da",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-04-20T14:17:25Z",
    "title_canon_sha256": "8ad91b0bc69b0d1fb09f7c54c997c1460282e9835dedf9531fdc95c0257f78a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06160",
    "kind": "arxiv",
    "version": 4
  }
}