Pith Number

pith:PXNR5BLD

pith:2015:PXNR5BLD52TK5WAXJEEHUQZSJL

not attested not anchored not stored refs pending

The partial copula: Properties and associated dependence measures

Fabian Spanhel, Malte S. Kurz

arxiv:1511.06665 v1 · 2015-11-20 · 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{PXNR5BLD52TK5WAXJEEHUQZSJL}

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	2026-05-18T00:42:39.641191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ddb1e8563eea6aed81749087a43324ac8b74b3aa7913e6c13173c6bd666b061

Aliases

arxiv: 1511.06665 · arxiv_version: 1511.06665v1 · doi: 10.48550/arxiv.1511.06665 · pith_short_12: PXNR5BLD52TK · pith_short_16: PXNR5BLD52TK5WAX · pith_short_8: PXNR5BLD

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/PXNR5BLD52TK5WAXJEEHUQZSJL \
  | 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: 7ddb1e8563eea6aed81749087a43324ac8b74b3aa7913e6c13173c6bd666b061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35e4fbafab5b7706abf6b80bd53069e7e847cbe13498daddb8cc78fe8266c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-11-20T16:16:08Z",
    "title_canon_sha256": "26cee089e75fce414b58f80bb1d2ccc4b092052200332287463078073dbb9872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06665",
    "kind": "arxiv",
    "version": 1
  }
}