Pith Number

pith:URZCXAN5

pith:2015:URZCXAN5KICLK4J7C3NLHC42XE

not attested not anchored not stored refs pending

Asymptotics of Empirical Eigen-structure for Ultra-high Dimensional Spiked Covariance Model

Jianqing Fan, Weichen Wang

arxiv:1502.04733 v2 · 2015-02-16 · math.ST · stat.ME · 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{URZCXAN5KICLK4J7C3NLHC42XE}

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	2026-05-18T01:33:16.090442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4722b81bd5204b5713f16dab38b9ab917f2c387dc9ba2dba883057674fd4d53

Aliases

arxiv: 1502.04733 · arxiv_version: 1502.04733v2 · doi: 10.48550/arxiv.1502.04733 · pith_short_12: URZCXAN5KICL · pith_short_16: URZCXAN5KICLK4J7 · pith_short_8: URZCXAN5

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/URZCXAN5KICLK4J7C3NLHC42XE \
  | 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: a4722b81bd5204b5713f16dab38b9ab917f2c387dc9ba2dba883057674fd4d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1b66b3d612801a11f20ab27d46dfbbeff0efb80719f2a61206c52571b69801",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-02-16T21:44:14Z",
    "title_canon_sha256": "4614a225b83a88908ac5fa3d9d989c8611d4e139a6b1bb01a06c6e933eedcff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04733",
    "kind": "arxiv",
    "version": 2
  }
}