Pith Number

pith:BBXZEP44

pith:2015:BBXZEP446VCXKOJKQ63OHXZQDN

not attested not anchored not stored refs pending

Copulas for maxmin systems

Matija Vidmar, Matja\v{z} Omladi\v{c}

arxiv:1512.08857 v1 · 2015-12-30 · math.PR · 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{BBXZEP446VCXKOJKQ63OHXZQDN}

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	2026-05-18T01:23:34.685651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086f923f9cf54575392a87b6e3df301b638f1d8ad6053b0d0d24520f4f907fb2

Aliases

arxiv: 1512.08857 · arxiv_version: 1512.08857v1 · doi: 10.48550/arxiv.1512.08857 · pith_short_12: BBXZEP446VCX · pith_short_16: BBXZEP446VCXKOJK · pith_short_8: BBXZEP44

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/BBXZEP446VCXKOJKQ63OHXZQDN \
  | 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: 086f923f9cf54575392a87b6e3df301b638f1d8ad6053b0d0d24520f4f907fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95822011b429fc1d07e4921c603837e0d54722902ff0a755b3ddf75f2fa7d973",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-30T06:07:43Z",
    "title_canon_sha256": "ac09b4d3f8eca978eb1c3a0d95039cadfe1a28fa19879525bd2f9981af911474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08857",
    "kind": "arxiv",
    "version": 1
  }
}