Pith Number

pith:5B3FL63P

pith:2016:5B3FL63PGCJLWN3VHTN2UBEQAB

not attested not anchored not stored refs pending

Directional Outlyingness for Multivariate Functional Data

Marc G. Genton, Wenlin Dai

arxiv:1612.04615 v5 · 2016-12-14 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5B3FL63PGCJLWN3VHTN2UBEQAB}

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	2026-05-18T00:17:55.033427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87655fb6f3092bb37753cdbaa049000574de808c5e29be6c8fc863bff28369c

Aliases

arxiv: 1612.04615 · arxiv_version: 1612.04615v5 · doi: 10.48550/arxiv.1612.04615 · pith_short_12: 5B3FL63PGCJL · pith_short_16: 5B3FL63PGCJLWN3V · pith_short_8: 5B3FL63P

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/5B3FL63PGCJLWN3VHTN2UBEQAB \
  | 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: e87655fb6f3092bb37753cdbaa049000574de808c5e29be6c8fc863bff28369c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba48c63463dfaa69c33322cd5de2feffff56accd670b11e0990e27307624700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-12-14T12:55:51Z",
    "title_canon_sha256": "da89379aa4314334c18264fa20d86cfa4179b475e21938be1197bdd021266cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04615",
    "kind": "arxiv",
    "version": 5
  }
}