Pith Number

pith:6B5V33G5

pith:2025:6B5V33G52YL2EKCRK3OZ3DDRXL

not attested not anchored not stored refs pending

Generalized Double Operator Integrals for Continuous Spectrum Operators

Shih-Yu Chang

arxiv:2505.02188 v1 · 2025-05-04 · math.FA · math.OA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6B5V33G52YL2EKCRK3OZ3DDRXL}

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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

Generalized Multiple Operator Integrals and Perturbation Theory for Operators with Continuous Spectra

Receipt and verification

First computed	2026-07-05T10:58:33.520505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07b5decddd617a2285156dd9d8c71baff9b150ed051367e142ab6db8fc654dd

Aliases

arxiv: 2505.02188 · arxiv_version: 2505.02188v1 · doi: 10.48550/arxiv.2505.02188 · pith_short_12: 6B5V33G52YL2 · pith_short_16: 6B5V33G52YL2EKCR · pith_short_8: 6B5V33G5

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/6B5V33G52YL2EKCRK3OZ3DDRXL \
  | 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: f07b5decddd617a2285156dd9d8c71baff9b150ed051367e142ab6db8fc654dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf7a30076a2a8dad176256657c75e4ddcecdeca54caef18c95baf673920527f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-04T17:07:55Z",
    "title_canon_sha256": "6020d624ef49d848389eb8cd3a7219a5f03dc4e81f9e6be88846f6049669de75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02188",
    "kind": "arxiv",
    "version": 1
  }
}