Pith Number

pith:OI6HMKWL

pith:2024:OI6HMKWL2ZXZFNZZBSV6HIV7HI

not attested not anchored not stored refs pending

Classical beta ensembles and related eigenvalues processes at high temperature and the Markov--Krein transform

Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh

arxiv:2412.01015 v2 · 2024-12-02 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI6HMKWL2ZXZFNZZBSV6HIV7HI}

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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

Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature

Receipt and verification

First computed	2026-07-05T11:03:18.822717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723c762acbd66f92b7390cabe3a2bf3a27a0987625c26a688a45c460333cea30

Aliases

arxiv: 2412.01015 · arxiv_version: 2412.01015v2 · doi: 10.48550/arxiv.2412.01015 · pith_short_12: OI6HMKWL2ZXZ · pith_short_16: OI6HMKWL2ZXZFNZZ · pith_short_8: OI6HMKWL

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/OI6HMKWL2ZXZFNZZBSV6HIV7HI \
  | 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: 723c762acbd66f92b7390cabe3a2bf3a27a0987625c26a688a45c460333cea30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ad5fefd4f69b0edd023533c22e83d53b6ed8de0182e23ac42a90f0d7bedabf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-02T00:27:17Z",
    "title_canon_sha256": "1638481efc82e92a6b3b47bf035ef153202ff4cbeaf51f224c3f935c3396a48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01015",
    "kind": "arxiv",
    "version": 2
  }
}