Pith Number

pith:J5JOSDDC

pith:2011:J5JOSDDCN2JX73UIFCB7HAKIKF

not attested not anchored not stored refs pending

Exactly computing bivariate projection depth contours and median

Xiaohui Liu, Yijun Zuo, Zhizhong Wang

arxiv:1112.6162 v1 · 2011-12-28 · stat.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{J5JOSDDCN2JX73UIFCB7HAKIKF}

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	2026-05-18T04:05:36.614921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f52e90c626e937fee882883f38148514d2dd6dfdfbed82263b05709117830e4

Aliases

arxiv: 1112.6162 · arxiv_version: 1112.6162v1 · doi: 10.48550/arxiv.1112.6162 · pith_short_12: J5JOSDDCN2JX · pith_short_16: J5JOSDDCN2JX73UI · pith_short_8: J5JOSDDC

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/J5JOSDDCN2JX73UIFCB7HAKIKF \
  | 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: 4f52e90c626e937fee882883f38148514d2dd6dfdfbed82263b05709117830e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595001a21f3cc30a0dcce999f06c5ebf2c7aaf9579392dfe8cfeacc5ce92e673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2011-12-28T18:31:21Z",
    "title_canon_sha256": "e6f5e3c686cf7e75161f96c7e15d471dc26104ec7576e19ec408b5b7c8b157c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6162",
    "kind": "arxiv",
    "version": 1
  }
}