Pith Number

pith:DFEJS2DU

pith:2025:DFEJS2DUOY5BYSLEUHT6Q2OXS5

not attested not anchored not stored refs pending

How fast does spectral radius of truncated circular unitary ensemble converge?

Xujia Meng, Yutao ma

arxiv:2506.16967 v1 · 2025-06-20 · 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{DFEJS2DUOY5BYSLEUHT6Q2OXS5}

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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

Precise convergence rate of spectral radius of product of complex Ginibre

Receipt and verification

First computed	2026-07-05T11:24:46.215232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1948996874763a1c4964a1e7e869d7977aaefc725cd971a543a1f5ef4164d323

Aliases

arxiv: 2506.16967 · arxiv_version: 2506.16967v1 · doi: 10.48550/arxiv.2506.16967 · pith_short_12: DFEJS2DUOY5B · pith_short_16: DFEJS2DUOY5BYSLE · pith_short_8: DFEJS2DU

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/DFEJS2DUOY5BYSLEUHT6Q2OXS5 \
  | 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: 1948996874763a1c4964a1e7e869d7977aaefc725cd971a543a1f5ef4164d323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea0c2dbf036622b23beee97178cba4a24507705a97a8d61f5b6999ed2f5c38d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-20T12:58:18Z",
    "title_canon_sha256": "4e217a7473cd5fa8aec9de9fef10593d006b32010c5ed25d770a2da8e3e66ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16967",
    "kind": "arxiv",
    "version": 1
  }
}