Pith Number

pith:Y6R7CFQN

pith:2014:Y6R7CFQNB2ZJQRQ6XGNYWLPFWL

not attested not anchored not stored refs pending

Accurate distribution of X^{T}X with singular, idempotent variance-covariance matrix

Hao Yuan Zhang, Jan Vrbik

arxiv:1411.5305 v2 · 2014-11-19 · 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{Y6R7CFQNB2ZJQRQ6XGNYWLPFWL}

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	2026-05-18T02:33:24.842191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a3f1160d0eb298461eb99b8b2de5b2c50f3a981c363e276e86de5731f675b7

Aliases

arxiv: 1411.5305 · arxiv_version: 1411.5305v2 · doi: 10.48550/arxiv.1411.5305 · pith_short_12: Y6R7CFQNB2ZJ · pith_short_16: Y6R7CFQNB2ZJQRQ6 · pith_short_8: Y6R7CFQN

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/Y6R7CFQNB2ZJQRQ6XGNYWLPFWL \
  | 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: c7a3f1160d0eb298461eb99b8b2de5b2c50f3a981c363e276e86de5731f675b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f8b9eb918064fa427efa066db59e6318bb620fb61ba8dd242f5cc1e7fa8d0a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-11-19T18:28:32Z",
    "title_canon_sha256": "b3225d73ad3a50611aac855edbb7cefe7319b9197b0b9999b58af43d54a0fa4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5305",
    "kind": "arxiv",
    "version": 2
  }
}