Pith Number

pith:LL6ARLWL

pith:2016:LL6ARLWLSOWCXJM4YSMSE6EAR2

not attested not anchored not stored refs pending

The limit of finite sample breakdown point of Tukey's halfspace median for general data

Shihua Luo, Xiaohui Liu, Yijun Zuo

arxiv:1604.07104 v1 · 2016-04-25 · 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{LL6ARLWLSOWCXJM4YSMSE6EAR2}

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	2026-05-18T01:16:23.039049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afc08aecb93ac2ba59cc4992278808e8e0522a80fb5e5998535d7e67859d3bc

Aliases

arxiv: 1604.07104 · arxiv_version: 1604.07104v1 · doi: 10.48550/arxiv.1604.07104 · pith_short_12: LL6ARLWLSOWC · pith_short_16: LL6ARLWLSOWCXJM4 · pith_short_8: LL6ARLWL

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/LL6ARLWLSOWCXJM4YSMSE6EAR2 \
  | 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: 5afc08aecb93ac2ba59cc4992278808e8e0522a80fb5e5998535d7e67859d3bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9b6a270f04189b3127fc7ae87ca83f23f02c8659985e4d3243373e4379d942",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-04-25T01:49:34Z",
    "title_canon_sha256": "d907fb364a71a40f07fdbd65b0fcc82c1092d76ad3c641d85223f6daffabdfcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07104",
    "kind": "arxiv",
    "version": 1
  }
}