pith. sign in
Pith Number

pith:FXVRV32N

pith:2014:FXVRV32NF2YGPW7QK76VKHJ4XO
not attested not anchored not stored refs pending

Invariant sums of random matrices and the onset of level repulsion

Giacomo Livan, Pierpaolo Vivo, Zdzis{\l}aw Burda

arxiv:1408.5720 v3 · 2014-08-25 · cond-mat.stat-mech · math-ph · math.MP · stat.OT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FXVRV32NF2YGPW7QK76VKHJ4XO}

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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 2026-05-18T01:36:38.735952Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2deb1aef4d2eb067dbf057fd551d3cbb823c8234a2d4628c7b8e85536ffe4948

Aliases

arxiv: 1408.5720 · arxiv_version: 1408.5720v3 · doi: 10.48550/arxiv.1408.5720 · pith_short_12: FXVRV32NF2YG · pith_short_16: FXVRV32NF2YGPW7Q · pith_short_8: FXVRV32N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FXVRV32NF2YGPW7QK76VKHJ4XO \
  | 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: 2deb1aef4d2eb067dbf057fd551d3cbb823c8234a2d4628c7b8e85536ffe4948
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3253ef0e8b102c6e630694a0f4e90cecd0a9d9166b6246072d64a5534dc6e85c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-08-25T11:04:25Z",
    "title_canon_sha256": "d637ed343b6fc20cad8e5ee8c3b11e05683894346d59297278ff2a6c0d259718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5720",
    "kind": "arxiv",
    "version": 3
  }
}