Pith Number

pith:PBNRZR65

pith:2021:PBNRZR65KPDMFTCOTDK5XJ2HQY

not attested not anchored not stored refs pending

Total positivity in multivariate extremes

Frank R\"ottger, Piotr Zwiernik, Sebastian Engelke

arxiv:2112.14727 v3 · 2021-12-29 · math.ST · stat.ME · 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{PBNRZR65KPDMFTCOTDK5XJ2HQY}

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	2026-07-05T06:20:34.062581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785b1cc7dd53c6c2cc4e98d5dba747862f15147b240377906293ce018be3ee92

Aliases

arxiv: 2112.14727 · arxiv_version: 2112.14727v3 · doi: 10.48550/arxiv.2112.14727 · pith_short_12: PBNRZR65KPDM · pith_short_16: PBNRZR65KPDMFTCO · pith_short_8: PBNRZR65

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/PBNRZR65KPDMFTCOTDK5XJ2HQY \
  | 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: 785b1cc7dd53c6c2cc4e98d5dba747862f15147b240377906293ce018be3ee92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ae58bcf4ad5c3892dfbdb00342ebacec3b0b0b8624ee68f1d085a3ac5b9fed7",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-12-29T18:35:02Z",
    "title_canon_sha256": "4f6e29831d538b1d3a9cdabc4dc42a7be7714d025498ea3ff07c241b290c7c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14727",
    "kind": "arxiv",
    "version": 3
  }
}