Pith Number

pith:XHO5B6IG

pith:2011:XHO5B6IGYPWFEGTGF4IT32NEXP

not attested not anchored not stored refs pending

Quasihomogeneous Toeplitz operators on the harmonic Bergman space

Issam Louhichi, Lova Zakariasy

arxiv:1107.3951 v2 · 2011-07-20 · 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{XHO5B6IGYPWFEGTGF4IT32NEXP}

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	2026-05-18T04:16:11.469263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ddd0f906c3ec521a662f113de9a4bbf140ee2ea55d7e711c34d05e33a16097

Aliases

arxiv: 1107.3951 · arxiv_version: 1107.3951v2 · doi: 10.48550/arxiv.1107.3951 · pith_short_12: XHO5B6IGYPWF · pith_short_16: XHO5B6IGYPWFEGTG · pith_short_8: XHO5B6IG

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/XHO5B6IGYPWFEGTGF4IT32NEXP \
  | 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: b9ddd0f906c3ec521a662f113de9a4bbf140ee2ea55d7e711c34d05e33a16097

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291719c89d5f5769029bf88d74478445def7f86b092557a2c1fecd2eef6e0ebc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-20T12:13:34Z",
    "title_canon_sha256": "a99c13f92a197856b7e73833da2128cda03509d8461af57f6f33ec2e14b90863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3951",
    "kind": "arxiv",
    "version": 2
  }
}