Pith Number

pith:D45X5U6F

pith:2016:D45X5U6FCQ25HWR3OXRRDUCRBC

not attested not anchored not stored refs pending

Detecting Rare and Weak Spikes in Large Covariance Matrices

Zheng Tracy Ke

arxiv:1609.00883 v2 · 2016-09-04 · 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{D45X5U6FCQ25HWR3OXRRDUCRBC}

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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.

Cited by

1 paper in Pith

Universal Bootstrap for Spectral Statistics: Beyond Gaussian Approximation

Receipt and verification

First computed	2026-05-18T00:06:26.769904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3b7ed3c51435d3da3b75e311d051089b4af8fe7efb5b8d3fc9b62dc74bf1f9

Aliases

arxiv: 1609.00883 · arxiv_version: 1609.00883v2 · doi: 10.48550/arxiv.1609.00883 · pith_short_12: D45X5U6FCQ25 · pith_short_16: D45X5U6FCQ25HWR3 · pith_short_8: D45X5U6F

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/D45X5U6FCQ25HWR3OXRRDUCRBC \
  | 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: 1f3b7ed3c51435d3da3b75e311d051089b4af8fe7efb5b8d3fc9b62dc74bf1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988e192193e2d3d077e220d40786e30ffb55d3d61c2ef6abe8d5b4f1420e97dd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-04T01:16:55Z",
    "title_canon_sha256": "012467b58b221130c774031f3c242c632ec43ffddd78b346b01b5241291f7fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00883",
    "kind": "arxiv",
    "version": 2
  }
}