Pith Number

pith:ACIZFENA

pith:2013:ACIZFENA733FCLXLVMIA5TWKPL

not attested not anchored not stored refs pending

Commutants of quasihomogeneous Toeplitz operators on the harmonic Bergman space

Fanilo Randriamahaleo, Issam Louhichi, Lova Zakariasy

arxiv:1307.7649 v2 · 2013-07-29 · 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{ACIZFENA733FCLXLVMIA5TWKPL}

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	2026-05-18T03:17:02.547350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00919291a0fef6512eebab100ececa7aefaee76119e0c382f551141dc505f79e

Aliases

arxiv: 1307.7649 · arxiv_version: 1307.7649v2 · doi: 10.48550/arxiv.1307.7649 · pith_short_12: ACIZFENA733F · pith_short_16: ACIZFENA733FCLXL · pith_short_8: ACIZFENA

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/ACIZFENA733FCLXLVMIA5TWKPL \
  | 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: 00919291a0fef6512eebab100ececa7aefaee76119e0c382f551141dc505f79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4dd732cc53522c3eefe2ab3c572ebc5a36c1b04271bf7c74d30b8ef32e9a72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-29T17:16:51Z",
    "title_canon_sha256": "8c3c12806895c75485c120b7fe627a361eb8ae0820101faf333bb5f0abed72d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7649",
    "kind": "arxiv",
    "version": 2
  }
}