Pith Number

pith:GY7W3QIE

pith:2018:GY7W3QIEV4NUY5EBF7TUAVT7IM

not attested not anchored not stored refs pending

Limiting Distributions of Spectral Radii for Product of Matrices from the Spherical Ensemble

Deli Li, Shuhua Chang, Yongcheng Qi

arxiv:1801.06877 v1 · 2018-01-21 · math.ST · 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{GY7W3QIEV4NUY5EBF7TUAVT7IM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-05-18T00:25:22.902225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363f6dc104af1b4c74812fe740567f432269dd0affb219ed9f17a4bd5fab6ea0

Aliases

arxiv: 1801.06877 · arxiv_version: 1801.06877v1 · doi: 10.48550/arxiv.1801.06877 · pith_short_12: GY7W3QIEV4NU · pith_short_16: GY7W3QIEV4NUY5EB · pith_short_8: GY7W3QIE

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/GY7W3QIEV4NUY5EBF7TUAVT7IM \
  | 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: 363f6dc104af1b4c74812fe740567f432269dd0affb219ed9f17a4bd5fab6ea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011696abda7b0a20b310e31709258cdc13b4360bb1ed5b585bac8f8d7ef92032",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-01-21T18:56:47Z",
    "title_canon_sha256": "e1c7d79030d1073e2db9d5503a91e845ed600f648152cd9fe90a24a208efddff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06877",
    "kind": "arxiv",
    "version": 1
  }
}