Pith Number

pith:F4NVOIBN

pith:2024:F4NVOIBNTRFSWALPVMCIT7LM5Q

not attested not anchored not stored refs pending

Universal Bootstrap for Spectral Statistics: Beyond Gaussian Approximation

Dandan Jiang, Fang Yao, Guoyu Zhang

arxiv:2412.20019 v2 · 2024-12-28 · 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{F4NVOIBNTRFSWALPVMCIT7LM5Q}

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	2026-07-05T10:42:40.872968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1b57202d9c4b2b016fab0489fd6cec2f4d817f0a98896be9a1d0ec7d5c4fe8

Aliases

arxiv: 2412.20019 · arxiv_version: 2412.20019v2 · doi: 10.48550/arxiv.2412.20019 · pith_short_12: F4NVOIBNTRFS · pith_short_16: F4NVOIBNTRFSWALP · pith_short_8: F4NVOIBN

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/F4NVOIBNTRFSWALPVMCIT7LM5Q \
  | 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: 2f1b57202d9c4b2b016fab0489fd6cec2f4d817f0a98896be9a1d0ec7d5c4fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961647ee73812edfd8507550bba0db2b1a244670138247b65fb7296e98923eb9",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-12-28T04:42:54Z",
    "title_canon_sha256": "dd97c9572ef9f11539a54fcf927f97830b10c08ef4e009e333c11b0b50b030c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20019",
    "kind": "arxiv",
    "version": 2
  }
}