Pith Number

pith:Z3V5HQOX

pith:2013:Z3V5HQOXMAQDFR7N65EJZESDYD

not attested not anchored not stored refs pending

Abelian, amenable operator algebras are similar to C*-algebras

Alexey I. Popov, Laurent W. Marcoux

arxiv:1311.2982 v2 · 2013-11-12 · math.OA · 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{Z3V5HQOXMAQDFR7N65EJZESDYD}

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	2026-05-18T01:05:46.670703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceebd3c1d7602032c7edf7489c9243c0fa2daa731b916614cf6ab35a5f340b5d

Aliases

arxiv: 1311.2982 · arxiv_version: 1311.2982v2 · doi: 10.48550/arxiv.1311.2982 · pith_short_12: Z3V5HQOXMAQD · pith_short_16: Z3V5HQOXMAQDFR7N · pith_short_8: Z3V5HQOX

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/Z3V5HQOXMAQDFR7N65EJZESDYD \
  | 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: ceebd3c1d7602032c7edf7489c9243c0fa2daa731b916614cf6ab35a5f340b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6fb1fa69729d4114cc49ad5d60c012eb8bac72ce592e9b418518ab2842bc1b4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-12T23:53:41Z",
    "title_canon_sha256": "313bf7f7b3ddd2ce7f40ed4e1e4804990d6dfe09c4b1d2acfcb685fe4bd812c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2982",
    "kind": "arxiv",
    "version": 2
  }
}