Pith Number

pith:H7OTK5HA

pith:2017:H7OTK5HAJ7RTWN3V4NET3RER7L

not attested not anchored not stored refs pending

Spectral Radii of Truncated Circular Unitary Matrices

Wenhao Gui, Yongcheng Qi

arxiv:1709.05441 v1 · 2017-09-16 · 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{H7OTK5HAJ7RTWN3V4NET3RER7L}

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	2026-05-18T00:35:00.759053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fdd3574e04fe33b3775e3493dc491faed2e997cad8fdd6f3df3ed1c48293936

Aliases

arxiv: 1709.05441 · arxiv_version: 1709.05441v1 · doi: 10.48550/arxiv.1709.05441 · pith_short_12: H7OTK5HAJ7RT · pith_short_16: H7OTK5HAJ7RTWN3V · pith_short_8: H7OTK5HA

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/H7OTK5HAJ7RTWN3V4NET3RER7L \
  | 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: 3fdd3574e04fe33b3775e3493dc491faed2e997cad8fdd6f3df3ed1c48293936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df891de474cc1036c8ec754971d4a28fb643d073e9cd9b5166521595edf10497",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-09-16T00:56:31Z",
    "title_canon_sha256": "7c2a62d2c5b41581a9e8a2764a1319f436b1ff9fa860a3c5e5de2df8393247ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05441",
    "kind": "arxiv",
    "version": 1
  }
}