Pith Number

pith:ILTXH2GT

pith:2025:ILTXH2GTBMDVG7QAUBQK3BW7QN

not attested not anchored not stored refs pending

Generalized Multiple Operator Integrals for Operators with Finite Dimensions

Shih-Yu Chang

arxiv:2506.19971 v1 · 2025-06-24 · math.FA · math.OA · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILTXH2GTBMDVG7QAUBQK3BW7QN}

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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	2026-07-05T11:26:57.361088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e773e8d30b07537e00a060ad86df835c5363395348724562f57503c2457e76

Aliases

arxiv: 2506.19971 · arxiv_version: 2506.19971v1 · doi: 10.48550/arxiv.2506.19971 · pith_short_12: ILTXH2GTBMDV · pith_short_16: ILTXH2GTBMDVG7QA · pith_short_8: ILTXH2GT

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/ILTXH2GTBMDVG7QAUBQK3BW7QN \
  | 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: 42e773e8d30b07537e00a060ad86df835c5363395348724562f57503c2457e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1f96d54b0de24a5f2af10f79c14bb8ce6d384dfc5692bec1be990feda70f53",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-24T19:40:05Z",
    "title_canon_sha256": "4a65ad5f6b81179410a7f52b24a36720672c07c2613510fb6ec6c667aec7c25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.19971",
    "kind": "arxiv",
    "version": 1
  }
}