Pith Number

pith:Y4NSM3YF

pith:2016:Y4NSM3YFFOU742MPP4SEULCIIH

not attested not anchored not stored refs pending

Quasinormal extensions of subnormal operator-weighted composition operators in $\ell^2$-spaces

Artur Planeta, Piotr Budzynski, Piotr Dymek

arxiv:1606.02476 v1 · 2016-06-08 · 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{Y4NSM3YFFOU742MPP4SEULCIIH}

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	2026-05-18T00:06:31.628053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71b266f052ba9fe698f7f244a2c4841d701ab9170284a1bc0c4dc8150ba42ee

Aliases

arxiv: 1606.02476 · arxiv_version: 1606.02476v1 · doi: 10.48550/arxiv.1606.02476 · pith_short_12: Y4NSM3YFFOU7 · pith_short_16: Y4NSM3YFFOU742MP · pith_short_8: Y4NSM3YF

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/Y4NSM3YFFOU742MPP4SEULCIIH \
  | 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: c71b266f052ba9fe698f7f244a2c4841d701ab9170284a1bc0c4dc8150ba42ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05fd4ba18e68ee74d5e811fb5d0b5e2d39771374f4b7b358e44e33524c795c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-08T09:50:08Z",
    "title_canon_sha256": "f251fb11a118bd8e81046c58df7977dfbadf8a6d571efee8157f64072de632c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02476",
    "kind": "arxiv",
    "version": 1
  }
}