Pith Number

pith:JFIYLIPX

pith:2019:JFIYLIPXCLHNP7HSBXADTHAKCF

not attested not anchored not stored refs pending

Correct Singular Perturbations of the Laplace Operator with the Spectrum of the Unperturbed Operator

B.N. Biyarov, D.A. Svistunov, G.K. Abdrasheva

arxiv:1906.09123 v1 · 2019-06-20 · math.FA · 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{JFIYLIPXCLHNP7HSBXADTHAKCF}

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.

Receipt and verification

First computed	2026-05-17T23:42:44.435151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

495185a1f712ced7fcf20dc0399c0a116a2574e2bdb2d7bc16e045576eb1d410

Aliases

arxiv: 1906.09123 · arxiv_version: 1906.09123v1 · doi: 10.48550/arxiv.1906.09123 · pith_short_12: JFIYLIPXCLHN · pith_short_16: JFIYLIPXCLHNP7HS · pith_short_8: JFIYLIPX

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/JFIYLIPXCLHNP7HSBXADTHAKCF \
  | 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: 495185a1f712ced7fcf20dc0399c0a116a2574e2bdb2d7bc16e045576eb1d410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca791b27ce9967ecd564c36a3f4464007758f8d53642eb43ec6723c9bdb812e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-06-20T11:56:04Z",
    "title_canon_sha256": "0f077b54e8ac117c29a133d4ed25e27207faa605056f3377c4fd47d6379f28ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09123",
    "kind": "arxiv",
    "version": 1
  }
}