Pith Number

pith:JOQ2YSXN

pith:2025:JOQ2YSXN5SQGUTZOAGMEGSK7UT

not attested not anchored not stored refs pending

Essential norm and integration of a family of weighted composition operators

David Norrbo

arxiv:2505.21268 v1 · 2025-05-27 · math.FA · math.CV

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOQ2YSXN5SQGUTZOAGMEGSK7UT}

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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.

Cited by

1 paper in Pith

Weak null maximum and integration of families of multiplication operators

Receipt and verification

First computed	2026-07-05T11:10:39.541926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba1ac4aedeca06a4f2e019843495fa4e18bbabd649d157a2d3223c69fa29836

Aliases

arxiv: 2505.21268 · arxiv_version: 2505.21268v1 · doi: 10.48550/arxiv.2505.21268 · pith_short_12: JOQ2YSXN5SQG · pith_short_16: JOQ2YSXN5SQGUTZO · pith_short_8: JOQ2YSXN

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/JOQ2YSXN5SQGUTZOAGMEGSK7UT \
  | 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: 4ba1ac4aedeca06a4f2e019843495fa4e18bbabd649d157a2d3223c69fa29836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "982b839ca7d3968ecff177e57091f5d53d71e997a16c383681f54d82e25a14b6",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-27T14:42:27Z",
    "title_canon_sha256": "5cd68bfbd532e39306acc819f66413ee08e95f7fc873989e30296cc184d34cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21268",
    "kind": "arxiv",
    "version": 1
  }
}