Pith Number

pith:RFEJ27EB

pith:2025:RFEJ27EBK3PZQELUQZ2H435WPR

not attested not anchored not stored refs pending

Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation

Euan A. Spence, Ivan G. Graham

arxiv:2501.15976 v4 · 2025-01-27 · 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{RFEJ27EBK3PZQELUQZ2H435WPR}

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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.

Receipt and verification

First computed	2026-06-19T16:12:44.919630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89489d7c8156df98117486747e6fb67c49e0662b31e2d4d0a59ce038914d3462

Aliases

arxiv: 2501.15976 · arxiv_version: 2501.15976v4 · doi: 10.48550/arxiv.2501.15976 · pith_short_12: RFEJ27EBK3PZ · pith_short_16: RFEJ27EBK3PZQELU · pith_short_8: RFEJ27EB

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/RFEJ27EBK3PZQELUQZ2H435WPR \
  | 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: 89489d7c8156df98117486747e6fb67c49e0662b31e2d4d0a59ce038914d3462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a76b17f8062fe0cefe102a3ef2048b8b9979668075677796a050dee25dd758",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-27T11:49:59Z",
    "title_canon_sha256": "b3c972c0eb3dea8016105d3b145a6c9f5ca3ec39be509cbaa9eecb01075e8333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15976",
    "kind": "arxiv",
    "version": 4
  }
}