Pith Number

pith:DZ6OAUSZ

pith:2025:DZ6OAUSZP6GQDFDM6OARDSV463

not attested not anchored not stored refs pending

Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers

Ben S. Southworth, Bobby Philip, Oliver A. Krzysik

arxiv:2501.00938 v1 · 2025-01-01 · 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{DZ6OAUSZP6GQDFDM6OARDSV463}

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	2026-07-05T09:56:12.167679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7ce052597f8d01946cf38111cabcf6e52828b0a902137c5dda678dfe8bdd0e

Aliases

arxiv: 2501.00938 · arxiv_version: 2501.00938v1 · doi: 10.48550/arxiv.2501.00938 · pith_short_12: DZ6OAUSZP6GQ · pith_short_16: DZ6OAUSZP6GQDFDM · pith_short_8: DZ6OAUSZ

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/DZ6OAUSZP6GQDFDM6OARDSV463 \
  | 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: 1e7ce052597f8d01946cf38111cabcf6e52828b0a902137c5dda678dfe8bdd0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ccb7e3202f0a597a8724cae42e7c1ca8a51d1c9f92c575a7f2909fabcc9826",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-01-01T19:39:09Z",
    "title_canon_sha256": "c906f3c706114bf6b64c6e41d49625eb89d2b506d6310e72767230087a0795bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00938",
    "kind": "arxiv",
    "version": 1
  }
}