Pith Number

pith:TMKZPFHV

pith:2026:TMKZPFHVKHCKCMPTN3LG7NZ42M

not attested not anchored not stored refs pending

Bias-Corrected Multiplier Bootstrap Inference for Spectral Edges of Large Covariance Matrices

Jiahui Xie, Xiucai Ding, Yichen Hu

arxiv:2607.08089 v1 · 2026-07-09 · stat.ME · 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{TMKZPFHVKHCKCMPTN3LG7NZ42M}

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	2026-07-10T01:19:25.620157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b159794f551c4a131f36ed66fb73cd3062b50cb424eae9b555f4e8c8eecf824

Aliases

arxiv: 2607.08089 · arxiv_version: 2607.08089v1 · doi: 10.48550/arxiv.2607.08089 · pith_short_12: TMKZPFHVKHCK · pith_short_16: TMKZPFHVKHCKCMPT · pith_short_8: TMKZPFHV

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/TMKZPFHVKHCKCMPTN3LG7NZ42M \
  | 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: 9b159794f551c4a131f36ed66fb73cd3062b50cb424eae9b555f4e8c8eecf824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561dbab577d122f8bf25d84b74422eb4da10189da08cc3634187dd217706789e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-09T03:50:10Z",
    "title_canon_sha256": "d094773103eba0b5fde956f3549a91b27fc74d37df4425d49b707a3fd64ba87c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08089",
    "kind": "arxiv",
    "version": 1
  }
}