Pith Number

pith:IE6ZNTED

pith:2024:IE6ZNTEDW5TFR3DIMM6GLPAE33

not attested not anchored not stored refs pending

Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions

Aleksei Aleksandrov, Vladimir Peller

arxiv:2411.01901 v2 · 2024-11-04 · math.FA · math.CA · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE6ZNTEDW5TFR3DIMM6GLPAE33}

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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

Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations

Receipt and verification

First computed	2026-07-05T10:32:33.055448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413d96cc83b76658ec68633c65bc04def0a27233cce4a932c07dde5b8aa69601

Aliases

arxiv: 2411.01901 · arxiv_version: 2411.01901v2 · doi: 10.48550/arxiv.2411.01901 · pith_short_12: IE6ZNTEDW5TF · pith_short_16: IE6ZNTEDW5TFR3DI · pith_short_8: IE6ZNTED

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/IE6ZNTEDW5TFR3DIMM6GLPAE33 \
  | 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: 413d96cc83b76658ec68633c65bc04def0a27233cce4a932c07dde5b8aa69601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fd48057a3614249636f3ef510ad431e18e82a2cc69073f22d29319241b2570",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-04T09:10:06Z",
    "title_canon_sha256": "2c8c2370a83a231c2f3d6b1385e8f1fb4a8d40384e821dde2883dda24455c0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.01901",
    "kind": "arxiv",
    "version": 2
  }
}