Pith Number

pith:JW7AP6UI

pith:2025:JW7AP6UIY44NZNGQOICIYVYMDJ

not attested not anchored not stored refs pending

Revisit on the convergence rate of normal extremes

Bingjie Tian, Yutao ma

arxiv:2507.09496 v1 · 2025-07-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW7AP6UIY44NZNGQOICIYVYMDJ}

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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

2 papers in Pith

Precise convergence rate of spectral radius of product of complex Ginibre

From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates

Receipt and verification

First computed	2026-07-05T11:36:10.084888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dbe07fa88c738dcb4d072048c570c1a52a9707ac1f434b1ded017856b4ce24d

Aliases

arxiv: 2507.09496 · arxiv_version: 2507.09496v1 · doi: 10.48550/arxiv.2507.09496 · pith_short_12: JW7AP6UIY44N · pith_short_16: JW7AP6UIY44NZNGQ · pith_short_8: JW7AP6UI

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/JW7AP6UIY44NZNGQOICIYVYMDJ \
  | 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: 4dbe07fa88c738dcb4d072048c570c1a52a9707ac1f434b1ded017856b4ce24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03546d1b397f83cb5a6b578bcc96385678ede81bc3b8b7d16695b61b52994e7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-13T05:12:32Z",
    "title_canon_sha256": "392cbff5a4930db5ceb99500cbc75f1638bf521a8e30a399cf13ef5704ee5c26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09496",
    "kind": "arxiv",
    "version": 1
  }
}