Pith Number

pith:ISHPKRWZ

pith:2020:ISHPKRWZMVXVCQHPJ2LROBKADV

not attested not anchored not stored refs pending

A two-level shifted Laplace preconditioner for Helmholtz problems: Field-of-values analysis and wavenumber-independent convergence

Luis Garc\'ia Ramos, Reinhard Nabben

arxiv:2006.08750 v2 · 2020-06-15 · math.NA · cs.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{ISHPKRWZMVXVCQHPJ2LROBKADV}

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

Convergence analysis of GMRES applied to Helmholtz problems near resonances

Receipt and verification

First computed	2026-07-05T01:11:01.071568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448ef546d9656f5140ef4e971705401d4dbd9f34570934a9d97bec4cd5bc0032

Aliases

arxiv: 2006.08750 · arxiv_version: 2006.08750v2 · doi: 10.48550/arxiv.2006.08750 · pith_short_12: ISHPKRWZMVXV · pith_short_16: ISHPKRWZMVXVCQHP · pith_short_8: ISHPKRWZ

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/ISHPKRWZMVXVCQHPJ2LROBKADV \
  | 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: 448ef546d9656f5140ef4e971705401d4dbd9f34570934a9d97bec4cd5bc0032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d0f740839642be3063c51306b6da173a5ecc5227650d5856e529def54d6b79",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-06-15T20:43:30Z",
    "title_canon_sha256": "2a0d431b582fc8137c22ee748615b1c94852338c1fe4c826f9410b610f2d9beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08750",
    "kind": "arxiv",
    "version": 2
  }
}