Pith Number

pith:CAQWW2QT

pith:2024:CAQWW2QT5JHAIQAH7KZYICRD3F

not attested not anchored not stored refs pending

Schwarz preconditioner with $H_k$-GenEO coarse space for the indefinite Helmholtz problem

Ivan G. Graham, Mark Fry, Matthias Langer, Victorita Dolean

arxiv:2406.06283 v1 · 2024-06-10 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAQWW2QT5JHAIQAH7KZYICRD3F}

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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.

Cited by

1 paper in Pith

Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces

Receipt and verification

First computed	2026-07-05T08:29:40.165702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10216b6a13ea4e044007fab3840a23d943176496d46e8d6f04db9993989ebdf8

Aliases

arxiv: 2406.06283 · arxiv_version: 2406.06283v1 · doi: 10.48550/arxiv.2406.06283 · pith_short_12: CAQWW2QT5JHA · pith_short_16: CAQWW2QT5JHAIQAH · pith_short_8: CAQWW2QT

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/CAQWW2QT5JHAIQAH7KZYICRD3F \
  | 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: 10216b6a13ea4e044007fab3840a23d943176496d46e8d6f04db9993989ebdf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7929b7752aed432b19e81d98264fef0663bfe7781efeb5924305076c036b06c9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-06-10T14:06:46Z",
    "title_canon_sha256": "cb6225164dfa275556655436b10de6a4f38ef4dbe2a55475e4b6e0e63086378f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06283",
    "kind": "arxiv",
    "version": 1
  }
}