Pith Number

pith:AOIVTTZY

pith:2015:AOIVTTZYVJALOXRZ2Y4T26J724

not attested not anchored not stored refs pending

Single-index copulae

Jean-David Fermanian, Olivier Lopez

arxiv:1512.07621 v3 · 2015-12-23 · 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{AOIVTTZYVJALOXRZ2Y4T26J724}

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	2026-05-18T00:40:54.154590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039159cf38aa40b75e39d6393d793fd726423b129f7336c88c39846b2168b985

Aliases

arxiv: 1512.07621 · arxiv_version: 1512.07621v3 · doi: 10.48550/arxiv.1512.07621 · pith_short_12: AOIVTTZYVJAL · pith_short_16: AOIVTTZYVJALOXRZ · pith_short_8: AOIVTTZY

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/AOIVTTZYVJALOXRZ2Y4T26J724 \
  | 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: 039159cf38aa40b75e39d6393d793fd726423b129f7336c88c39846b2168b985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd623b69597cc2dafdb9f7d2e47b36f0b1c6b3e0ee59c37068c308f41782c2a3",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-12-23T20:43:23Z",
    "title_canon_sha256": "85c7762e4ac4eb56cbe7309990ecebe4fc0a48d4ddde91df20ed102448345025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07621",
    "kind": "arxiv",
    "version": 3
  }
}