Pith Number

pith:KKRPGQCA

pith:2015:KKRPGQCA6OV3JAWRL3MD5OLBIO

not attested not anchored not stored refs pending

Uniform Correlation Mixture of Bivariate Normal Distributions and Hypercubically-contoured Densities That Are Marginally Normal

Edward George, Kai Zhang, Lawrence D. Brown, Linda Zhao

arxiv:1511.06190 v1 · 2015-11-19 · 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{KKRPGQCA6OV3JAWRL3MD5OLBIO}

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	2026-05-18T01:26:26.148966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a2f34040f3abb482d15ed83eb96143812c45062b2ffcdbb8603a7a7dfd9d2d

Aliases

arxiv: 1511.06190 · arxiv_version: 1511.06190v1 · doi: 10.48550/arxiv.1511.06190 · pith_short_12: KKRPGQCA6OV3 · pith_short_16: KKRPGQCA6OV3JAWR · pith_short_8: KKRPGQCA

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/KKRPGQCA6OV3JAWRL3MD5OLBIO \
  | 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: 52a2f34040f3abb482d15ed83eb96143812c45062b2ffcdbb8603a7a7dfd9d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b76a4f608e3a7a47d33479f3e9d92858441bf4ecea7334382c9d25258511d4a6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-11-19T14:57:49Z",
    "title_canon_sha256": "ae5872351589699ac7d8622b78841f0b50f73cac76357c3c945fd8f06a4a8d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06190",
    "kind": "arxiv",
    "version": 1
  }
}