Pith Number

pith:6KM2RVF2

pith:2006:6KM2RVF25HZ2FFMEOKVA5HPZ77

not attested not anchored not stored refs pending

On the top eigenvalue of heavy-tailed random matrices

Giulio Biroli, Jean-Philippe Bouchaud, Marc Potters

arxiv:cond-mat/0609070 v1 · 2006-09-04 · cond-mat.stat-mech · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KM2RVF25HZ2FFMEOKVA5HPZ77}

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	2026-05-18T01:39:43.631528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f299a8d4bae9f3a2958472aa0e9df9ffd793d69a1d7793f080d4b2abcedc2d7c

Aliases

arxiv: cond-mat/0609070 · arxiv_version: cond-mat/0609070v1 · doi: 10.48550/arxiv.cond-mat/0609070 · pith_short_12: 6KM2RVF25HZ2 · pith_short_16: 6KM2RVF25HZ2FFME · pith_short_8: 6KM2RVF2

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/6KM2RVF25HZ2FFMEOKVA5HPZ77 \
  | 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: f299a8d4bae9f3a2958472aa0e9df9ffd793d69a1d7793f080d4b2abcedc2d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d4a03ed8971679a405126af9381af2335bb2b0e6d4da669dc6982056483cd0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-09-04T15:55:11Z",
    "title_canon_sha256": "2415fa91eb130ff3562dc45f66d2f11f857924d10a83717facde24ed8eab7903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609070",
    "kind": "arxiv",
    "version": 1
  }
}