Pith Number

pith:LX2XWUV5

pith:2025:LX2XWUV56V3EYWHIYSHLDWS624

not attested not anchored not stored refs pending

Statistics of Min-max Normalized Eigenvalues in Random Matrices

Hyakka Nakada, Shu Tanaka

arxiv:2512.15427 v1 · 2025-12-17 · cs.LG · cond-mat.stat-mech · 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{LX2XWUV56V3EYWHIYSHLDWS624}

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	2026-06-03T02:05:44.310162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df57b52bdf5764c58e8c48eb1da5ed70cc7dd1162c54b75aa8f3e04324c1968

Aliases

arxiv: 2512.15427 · arxiv_version: 2512.15427v1 · doi: 10.48550/arxiv.2512.15427 · pith_short_12: LX2XWUV56V3E · pith_short_16: LX2XWUV56V3EYWHI · pith_short_8: LX2XWUV5

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/LX2XWUV56V3EYWHIYSHLDWS624 \
  | 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: 5df57b52bdf5764c58e8c48eb1da5ed70cc7dd1162c54b75aa8f3e04324c1968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb35f1f9d7387cb7cf96f81db979a370680d5be6ae25fb7fc878a5a373c18ea",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-17T13:19:32Z",
    "title_canon_sha256": "11c3f2775de0ea086a5c4b947fcbb33f1f9e4a9cc66643f524e209774f931303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15427",
    "kind": "arxiv",
    "version": 1
  }
}