Pith Number

pith:BDRFT5WM

pith:2017:BDRFT5WMHXIKFHORZ3XZATAXQK

not attested not anchored not stored refs pending

Estimating Tail Probabilities of the Ratio of the Largest Eigenvalue to the Trace of a Wishart Matrix

Gongjun Xu, Yinqiu He

arxiv:1711.03259 v2 · 2017-11-09 · stat.ME · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDRFT5WMHXIKFHORZ3XZATAXQK}

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	2026-05-18T00:20:16.552606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e259f6cc3dd0a29dd1ceef904c1782938903976458fc1ba6e29b0271685648

Aliases

arxiv: 1711.03259 · arxiv_version: 1711.03259v2 · doi: 10.48550/arxiv.1711.03259 · pith_short_12: BDRFT5WMHXIK · pith_short_16: BDRFT5WMHXIKFHOR · pith_short_8: BDRFT5WM

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/BDRFT5WMHXIKFHORZ3XZATAXQK \
  | 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: 08e259f6cc3dd0a29dd1ceef904c1782938903976458fc1ba6e29b0271685648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8237cb90f043227a19b9c48f83dcb8909a8999625fe66523cbf9f78b49bb7d",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-11-09T05:35:48Z",
    "title_canon_sha256": "42fc8c66fd223b136d43df49b633c92e577d88d72b323fb1cfd9f1ebe9eeb19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03259",
    "kind": "arxiv",
    "version": 2
  }
}