Pith Number

pith:A3KH52KM

pith:2018:A3KH52KMLBXR6QCC242OEF7UQT

not attested not anchored not stored refs pending

The spectral radius formula for Fourier-Stieltjes algebras

Maria Roginskaya, Przemys{\l}aw Ohrysko

arxiv:1811.11560 v3 · 2018-11-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3KH52KMLBXR6QCC242OEF7UQT}

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	2026-05-17T23:48:22.196196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d47ee94c586f1f4042d734e217f484c65199e7b4d859d92a1bdb18eb58a442

Aliases

arxiv: 1811.11560 · arxiv_version: 1811.11560v3 · doi: 10.48550/arxiv.1811.11560 · pith_short_12: A3KH52KMLBXR · pith_short_16: A3KH52KMLBXR6QCC · pith_short_8: A3KH52KM

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/A3KH52KMLBXR6QCC242OEF7UQT \
  | 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: 06d47ee94c586f1f4042d734e217f484c65199e7b4d859d92a1bdb18eb58a442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "debdaf2bd5cb31d837086359aa3858af867db3ce60bb52de46f900b2a647e8e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-28T13:51:35Z",
    "title_canon_sha256": "3877689c93b3e7e5ed0575bb59a5025dc04bcd9ecf5f30168c15c6f82f879a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11560",
    "kind": "arxiv",
    "version": 3
  }
}