Pith Number

pith:2BLCMG2R

pith:2023:2BLCMG2RJJ4OCZLNLH7X2XVULK

not attested not anchored not stored refs pending

Spatial depth for data in metric spaces

Joni Virta

arxiv:2306.09740 v1 · 2023-06-16 · 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{2BLCMG2RJJ4OCZLNLH7X2XVULK}

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.

Cited by

2 papers in Pith

Polar Depth for Potentially Heavy-Tailed Data

Wasserstein Spatial Depth

Receipt and verification

First computed	2026-07-05T06:21:23.359528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d056261b514a78e1656d59ff7d5eb45a94ff2c518ca458f8f6e97c1b9e7a9073

Aliases

arxiv: 2306.09740 · arxiv_version: 2306.09740v1 · doi: 10.48550/arxiv.2306.09740 · pith_short_12: 2BLCMG2RJJ4O · pith_short_16: 2BLCMG2RJJ4OCZLN · pith_short_8: 2BLCMG2R

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/2BLCMG2RJJ4OCZLNLH7X2XVULK \
  | 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: d056261b514a78e1656d59ff7d5eb45a94ff2c518ca458f8f6e97c1b9e7a9073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb96213e0d944855642866989da38d7feae467b74beb062bda594fd78000bcc7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-06-16T10:17:07Z",
    "title_canon_sha256": "a1a7d649ce14d18ee5c6b16bb63e76e8474562f3c49e5db556ccc16b17ada8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.09740",
    "kind": "arxiv",
    "version": 1
  }
}