Pith Number

pith:CQOQD2DG

pith:2012:CQOQD2DGFOP63UZC7ZM5GQQLXR

not attested not anchored not stored refs pending

On the subalgebra of a Fourier-Steiltjes algebra generated by pure positive definite functions

Brian E. Forrest, Nico Spronk, Yin-Hei Cheng

arxiv:1208.1519 v2 · 2012-08-07 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQOQD2DGFOP63UZC7ZM5GQQLXR}

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	2026-05-18T03:49:00.524774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

141d01e8662b9fedd322fe59d3420bbc6339438c27af86300344599d36298ff1

Aliases

arxiv: 1208.1519 · arxiv_version: 1208.1519v2 · doi: 10.48550/arxiv.1208.1519 · pith_short_12: CQOQD2DGFOP6 · pith_short_16: CQOQD2DGFOP63UZC · pith_short_8: CQOQD2DG

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/CQOQD2DGFOP63UZC7ZM5GQQLXR \
  | 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: 141d01e8662b9fedd322fe59d3420bbc6339438c27af86300344599d36298ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88b1db8618a40a1c336e557235a82dc93d153da50b977668f638d73e4fc708b6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-07T20:42:31Z",
    "title_canon_sha256": "e1555dea717f8083f8f6c2bd72eda42bcfe773b019b413a37d405fda1988ad69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1519",
    "kind": "arxiv",
    "version": 2
  }
}