Pith Number

pith:DZX2XM6X

pith:2013:DZX2XM6XRDHZKACNXNQCJVMJF5

not attested not anchored not stored refs pending

Commutants of Toeplitz operators with radial symbols on the Fock-Sobolev space

Boo Rim Choe, Jongho Yang

arxiv:1311.7233 v1 · 2013-11-28 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZX2XM6XRDHZKACNXNQCJVMJF5}

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	2026-05-18T03:05:56.840610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6fabb3d788cf95004dbb6024d5892f6230c3ee036b69956398f5646d8da828

Aliases

arxiv: 1311.7233 · arxiv_version: 1311.7233v1 · doi: 10.48550/arxiv.1311.7233 · pith_short_12: DZX2XM6XRDHZ · pith_short_16: DZX2XM6XRDHZKACN · pith_short_8: DZX2XM6X

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/DZX2XM6XRDHZKACNXNQCJVMJF5 \
  | 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: 1e6fabb3d788cf95004dbb6024d5892f6230c3ee036b69956398f5646d8da828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8843da427b23500056a9720f451db9b5f17e852308cf2131f14051f04b6f85d2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-28T07:50:24Z",
    "title_canon_sha256": "ca28e7e714e0544f5f829f1ae94524a21453738d99247b12daa4e659ca0d1454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7233",
    "kind": "arxiv",
    "version": 1
  }
}