Pith Number

pith:KNBDAV2N

pith:2010:KNBDAV2N22D4WCQMZRPEQTVOYT

not attested not anchored not stored refs pending

The index formula and the spectral shift function for relatively trace class perturbations

Fedor Sukochev, Fritz Gesztesy, Konstantin A. Makarov, Yuri Latushkin, Yuri Tomilov

arxiv:1004.1582 v3 · 2010-04-09 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNBDAV2N22D4WCQMZRPEQTVOYT}

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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.

Receipt and verification

First computed	2026-05-18T02:26:01.446396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534230574dd687cb0a0ccc5e484eaec4fc8fe2fdfd9d52127b6bc03ce92d2db7

Aliases

arxiv: 1004.1582 · arxiv_version: 1004.1582v3 · doi: 10.48550/arxiv.1004.1582 · pith_short_12: KNBDAV2N22D4 · pith_short_16: KNBDAV2N22D4WCQM · pith_short_8: KNBDAV2N

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/KNBDAV2N22D4WCQMZRPEQTVOYT \
  | 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: 534230574dd687cb0a0ccc5e484eaec4fc8fe2fdfd9d52127b6bc03ce92d2db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b878251650b0e3c60655ecee5432d0212180133d3402cd97044a9e9eef4746f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-04-09T15:54:13Z",
    "title_canon_sha256": "1c73e93be46116e8e0dd424f6ef50c4ad25ec1e4e6286847f8cc1412735d9702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1582",
    "kind": "arxiv",
    "version": 3
  }
}