Pith Number

pith:PAWX74A3

pith:2013:PAWX74A3BJVFER5NQHE5XTALFM

not attested not anchored not stored refs pending

Asymptotic expansion of beta matrix models in the multi-cut regime

Alice Guionnet, Ga\"etan Borot

arxiv:1303.1045 v8 · 2013-03-05 · math-ph · math.MP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAWX74A3BJVFER5NQHE5XTALFM}

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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.

Cited by

1 paper in Pith

Asymptotics of the partition function for $\beta$-ensembles at high temperature

Receipt and verification

First computed	2026-07-05T08:45:18.849044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782d7ff01b0a6a5247ad81c9dbcc0b2b2d97118284a4f11ff9c05b6ddc823987

Aliases

arxiv: 1303.1045 · arxiv_version: 1303.1045v8 · doi: 10.48550/arxiv.1303.1045 · pith_short_12: PAWX74A3BJVF · pith_short_16: PAWX74A3BJVFER5N · pith_short_8: PAWX74A3

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/PAWX74A3BJVFER5NQHE5XTALFM \
  | 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: 782d7ff01b0a6a5247ad81c9dbcc0b2b2d97118284a4f11ff9c05b6ddc823987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14387778cc41b91446519ee0c4a295f2cb944801a979d120e68d7b166bcfff1",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-05T14:24:24Z",
    "title_canon_sha256": "ea4930eb8a291efd05a3e28173a7a83fbe69b0ec1dc88603eb5b9dbdca4403b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1045",
    "kind": "arxiv",
    "version": 8
  }
}