Pith Number

pith:UEAQBUNL

pith:2016:UEAQBUNL6RYBVUDDW67IDT76NF

not attested not anchored not stored refs pending

Concentration of the empirical level sets of Tukey's halfspace depth

Victor-Emmanuel Brunel

arxiv:1605.09456 v3 · 2016-05-31 · 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{UEAQBUNL6RYBVUDDW67IDT76NF}

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	2026-05-18T00:51:03.213197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a10100d1abf4701ad063b7be81cffe6944c46b22272277266c8c5be67d929d49

Aliases

arxiv: 1605.09456 · arxiv_version: 1605.09456v3 · doi: 10.48550/arxiv.1605.09456 · pith_short_12: UEAQBUNL6RYB · pith_short_16: UEAQBUNL6RYBVUDD · pith_short_8: UEAQBUNL

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/UEAQBUNL6RYBVUDDW67IDT76NF \
  | 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: a10100d1abf4701ad063b7be81cffe6944c46b22272277266c8c5be67d929d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461e91012bbd0bf7ff6189f6fea6a42dd115ec534faef77384956d626f6c817d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-05-31T00:45:01Z",
    "title_canon_sha256": "b737b05ce39ab30cc03dd837324555a5476b028683130bb2e3b5b24c17d68628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09456",
    "kind": "arxiv",
    "version": 3
  }
}