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Pith Number

pith:WIWTRIV6

pith:2010:WIWTRIV6SFHYFZ5UJKFV2O555V
not attested not anchored not stored refs pending

How many eigenvalues of a Gaussian random matrix are positive?

Antonello Scardicchio, C\'eline Nadal, Pierpaolo Vivo, Satya N. Majumdar

arxiv:1012.1107 v1 · 2010-12-06 · cond-mat.stat-mech · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WIWTRIV6SFHYFZ5UJKFV2O555V}

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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 2026-05-18T02:23:15.541532Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b22d38a2be914f82e7b44a8b5d3bbded53bce66f92c6af47b2b5f8461da233c7

Aliases

arxiv: 1012.1107 · arxiv_version: 1012.1107v1 · doi: 10.48550/arxiv.1012.1107 · pith_short_12: WIWTRIV6SFHY · pith_short_16: WIWTRIV6SFHYFZ5U · pith_short_8: WIWTRIV6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WIWTRIV6SFHYFZ5UJKFV2O555V \
  | 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: b22d38a2be914f82e7b44a8b5d3bbded53bce66f92c6af47b2b5f8461da233c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0fdba8da5c57a7db0fecea08b241a313336e801214b0e759ca7edd5b2e7c1db1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-06T09:53:30Z",
    "title_canon_sha256": "a3964cb31babf8e9863db20aa2603a4f6d731db3e78119a973c1a655cb03d911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1107",
    "kind": "arxiv",
    "version": 1
  }
}