Pith Number

pith:LJAAENKE

pith:2015:LJAAENKE2PSARU2IM4VXDFTBV4

not attested not anchored not stored refs pending

On the optimality of shifted Laplacian in the class of expansion preconditioners for the Helmholtz equation

Siegfried Cools, Wim Vanroose

arxiv:1501.04445 v3 · 2015-01-19 · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJAAENKE2PSARU2IM4VXDFTBV4}

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	2026-05-18T00:54:09.144453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a40023544d3e408d348672b719661af28b7761170671fc5636b4dd321280f43

Aliases

arxiv: 1501.04445 · arxiv_version: 1501.04445v3 · doi: 10.48550/arxiv.1501.04445 · pith_short_12: LJAAENKE2PSA · pith_short_16: LJAAENKE2PSARU2I · pith_short_8: LJAAENKE

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/LJAAENKE2PSARU2IM4VXDFTBV4 \
  | 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: 5a40023544d3e408d348672b719661af28b7761170671fc5636b4dd321280f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f951b0d7c97459c5dc3ac5e626e3dfc5f64d301e05be01bc8b9782b75b0e9cf",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-19T10:36:53Z",
    "title_canon_sha256": "ddfc316ccbf060c6f73279819996e90ef5dde0437870e596d07c94f4437f4e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04445",
    "kind": "arxiv",
    "version": 3
  }
}