Pith Number

pith:YJ4GVLG4

pith:2022:YJ4GVLG423RJBRKPPQDRFGGU5N

not attested not anchored not stored refs pending

Higher-order spectral shift function for resolvent comparable perturbations

Anna Skripka, Teun D. H. van Nuland

arxiv:2211.03330 v2 · 2022-11-07 · math.FA · math-ph · math.MP · 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{YJ4GVLG423RJBRKPPQDRFGGU5N}

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

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

Receipt and verification

First computed	2026-07-05T05:16:38.010295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2786aacdcd6e290c54f7c071298d4eb521a882594368efba3f3e40d7a18dde0

Aliases

arxiv: 2211.03330 · arxiv_version: 2211.03330v2 · doi: 10.48550/arxiv.2211.03330 · pith_short_12: YJ4GVLG423RJ · pith_short_16: YJ4GVLG423RJBRKP · pith_short_8: YJ4GVLG4

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/YJ4GVLG423RJBRKPPQDRFGGU5N \
  | 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: c2786aacdcd6e290c54f7c071298d4eb521a882594368efba3f3e40d7a18dde0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d37593c01fe3e8a184b0de16db2e4b8de733d1c2fb9099f9201dc9b5c8901b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-11-07T06:20:50Z",
    "title_canon_sha256": "6dba5d224eb0fde26820684c2fd85e3a3a18a9e267fcc1188fc4edc195cfec43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.03330",
    "kind": "arxiv",
    "version": 2
  }
}