Pith Number

pith:BFQXQ7AK

pith:2012:BFQXQ7AKCENFJSSK33Z6MBPXBT

not attested not anchored not stored refs pending

Commutative $C^*$-algebras of Toeplitz operators on complex projective spaces

A. Sanchez-Nungaray, Raul Quiroga-Barranco

arxiv:1201.2147 v1 · 2012-01-10 · math.OA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFQXQ7AKCENFJSSK33Z6MBPXBT}

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	2026-05-18T04:04:53.818151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0961787c0a111a54ca4adef3e605f70cd354db9bda5f6d94d7ea18a00dfa654b

Aliases

arxiv: 1201.2147 · arxiv_version: 1201.2147v1 · doi: 10.48550/arxiv.1201.2147 · pith_short_12: BFQXQ7AKCENF · pith_short_16: BFQXQ7AKCENFJSSK · pith_short_8: BFQXQ7AK

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/BFQXQ7AKCENFJSSK33Z6MBPXBT \
  | 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: 0961787c0a111a54ca4adef3e605f70cd354db9bda5f6d94d7ea18a00dfa654b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d6df3f94691f3d42a0702e8494ccb16396ff85729e805445ffa1b9f3afbb144",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-10T19:42:34Z",
    "title_canon_sha256": "b3315eb2dd07fdbaa3bfbf94e03d75aa9071b2f0da1b194a12dabb3fe17fabff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2147",
    "kind": "arxiv",
    "version": 1
  }
}