Pith Number

pith:2NZWZN2M

pith:2017:2NZWZN2M4SLLHH42RCYMA7LTUU

not attested not anchored not stored refs pending

The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions

Giuseppe Cardone, Sergey A. Nazarov, Tiziana Durante

arxiv:1704.05810 v1 · 2017-04-19 · math.SP · math.AP · 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{2NZWZN2M4SLLHH42RCYMA7LTUU}

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	2026-05-18T00:38:12.722526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3736cb74ce496b39f9a88b0c07d73a524377d22a64ee4189c98e3646f795577

Aliases

arxiv: 1704.05810 · arxiv_version: 1704.05810v1 · doi: 10.48550/arxiv.1704.05810 · pith_short_12: 2NZWZN2M4SLL · pith_short_16: 2NZWZN2M4SLLHH42 · pith_short_8: 2NZWZN2M

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/2NZWZN2M4SLLHH42RCYMA7LTUU \
  | 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: d3736cb74ce496b39f9a88b0c07d73a524377d22a64ee4189c98e3646f795577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215a58a1d884d9fe245263456f4d0743fb8edb174d87826f4971ffe4f84b2118",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-04-19T16:38:59Z",
    "title_canon_sha256": "d234c00ab652431b4d96373da1f410a1eb933aa441938aea030afa60fbcbe5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05810",
    "kind": "arxiv",
    "version": 1
  }
}