Pith Number

pith:FNP5CJ5V

pith:2025:FNP5CJ5VGNW44ETXSI7R7G4IVN

not attested not anchored not stored refs pending

Generalized Double Operator Integrals: Finite Dimensions

Shih-Yu Chang

arxiv:2503.16239 v1 · 2025-03-20 · 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{FNP5CJ5VGNW44ETXSI7R7G4IVN}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:36:08.602578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5fd127b5336dce1277923f1f9b88ab6543872aa5ee433915e213efa6dc695b

Aliases

arxiv: 2503.16239 · arxiv_version: 2503.16239v1 · doi: 10.48550/arxiv.2503.16239 · pith_short_12: FNP5CJ5VGNW4 · pith_short_16: FNP5CJ5VGNW44ETX · pith_short_8: FNP5CJ5V

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/FNP5CJ5VGNW44ETXSI7R7G4IVN \
  | 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: 2b5fd127b5336dce1277923f1f9b88ab6543872aa5ee433915e213efa6dc695b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a942771ee4bb4f6662488bd3cf472a72b2e940ec4761fd4f52813fed1aabcaa8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-03-20T15:37:00Z",
    "title_canon_sha256": "0eafecbfdf7860bf6ebcef047b75a1d8beaca7219569248ee2e7420b55c4be04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16239",
    "kind": "arxiv",
    "version": 1
  }
}