Pith Number

pith:N5PURB63

pith:2017:N5PURB632DBQI7TBEGL7RI5BIS

not attested not anchored not stored refs pending

Limiting Laws for Divergent Spiked Eigenvalues and Largest Non-spiked Eigenvalue of Sample Covariance Matrices

Guangming Pan, Tony Cai, Xiao Han

arxiv:1711.00217 v2 · 2017-11-01 · 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{N5PURB632DBQI7TBEGL7RI5BIS}

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	2026-05-18T00:31:18.387659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5f4887dbd0c3047e612197f8a3a14482fda8555bb159a593c3a384c6990361

Aliases

arxiv: 1711.00217 · arxiv_version: 1711.00217v2 · doi: 10.48550/arxiv.1711.00217 · pith_short_12: N5PURB632DBQ · pith_short_16: N5PURB632DBQI7TB · pith_short_8: N5PURB63

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/N5PURB632DBQI7TBEGL7RI5BIS \
  | 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: 6f5f4887dbd0c3047e612197f8a3a14482fda8555bb159a593c3a384c6990361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11df8588217610ee1cc567431a3cd85c1f41163ed619813956d76fab0540c8d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-11-01T06:22:45Z",
    "title_canon_sha256": "d727d49ebe2d0d41b89e3cdc903266df3fb0c656a1c80daca61e29cf324ffad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00217",
    "kind": "arxiv",
    "version": 2
  }
}