Pith Number

pith:MNVQJHPY

pith:2026:MNVQJHPYPK6TFVGK6EP7UADGZJ

not attested not anchored not stored refs pending

Spectra of high-dimensional Spearman correlation matrices under scale-mixture dependence

Jean-Philippe Bouchaud, Matteo Smerlak, Pierre Bousseyroux, Tomas Espana

arxiv:2607.25486 v1 · 2026-07-28 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNVQJHPYPK6TFVGK6EP7UADGZJ}

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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	2026-07-29T01:25:17.727440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636b049df87abd32d4caf11ffa0066ca5e5d4eddaeb65ba141d5388810761b90

Aliases

arxiv: 2607.25486 · arxiv_version: 2607.25486v1 · doi: 10.48550/arxiv.2607.25486 · pith_short_12: MNVQJHPYPK6T · pith_short_16: MNVQJHPYPK6TFVGK · pith_short_8: MNVQJHPY

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/MNVQJHPYPK6TFVGK6EP7UADGZJ \
  | 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: 636b049df87abd32d4caf11ffa0066ca5e5d4eddaeb65ba141d5388810761b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3115a69d57f934d6403b019667c35c399b1733d96bd4cd0efd9cfd17af39f98",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-28T09:24:08Z",
    "title_canon_sha256": "0bbf009618af00509d130fd5ef2ede32910bb37947e914450dc5088e0853a457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25486",
    "kind": "arxiv",
    "version": 1
  }
}