Pith Number

pith:Z4OWW64I

pith:2013:Z4OWW64I3SI3LIJDRURYQCCMOL

not attested not anchored not stored refs pending

Convergence Rates of Spectral Distribution of Large Dimensional Quaternion Sample Covariance Matrix

Huiqin Li, Zhidong Bai

arxiv:1312.6926 v1 · 2013-12-25 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4OWW64I3SI3LIJDRURYQCCMOL}

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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	2026-05-18T03:03:46.446247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1d6b7b88dc91b5a1238d2388084c72feb9b431eb333a40be6847451826da68

Aliases

arxiv: 1312.6926 · arxiv_version: 1312.6926v1 · doi: 10.48550/arxiv.1312.6926 · pith_short_12: Z4OWW64I3SI3 · pith_short_16: Z4OWW64I3SI3LIJD · pith_short_8: Z4OWW64I

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/Z4OWW64I3SI3LIJDRURYQCCMOL \
  | 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: cf1d6b7b88dc91b5a1238d2388084c72feb9b431eb333a40be6847451826da68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e93e45aa8aff3fd37460f63dd64abe0436d07022292ac314feedb5f10f12d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-25T05:13:15Z",
    "title_canon_sha256": "840b321d49d332709210f1ed4649a9103239b6cfab71c3bd1b9c7e13b05305f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6926",
    "kind": "arxiv",
    "version": 1
  }
}