Pith Number

pith:VPZ5MPAX

pith:2025:VPZ5MPAXFV3H7ZXBPV2U6BER57

not attested not anchored not stored refs pending

An Optimal O(N) Helmholtz Solver for Complex Geometry using WaveHoltz and Overset Grids

Daniel Appelo, Donald W. Schwendeman, Jeffrey W. Banks, William D. Henshaw

arxiv:2504.03074 v1 · 2025-04-03 · 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{VPZ5MPAXFV3H7ZXBPV2U6BER57}

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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

Efficient Domain Decomposition for the Helmholtz Equation on GPUs

Receipt and verification

First computed	2026-07-05T10:44:25.867992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf3d63c172d767fe6e17d754f0491efc1e94e42f0a97df482fe4205ee95fa92

Aliases

arxiv: 2504.03074 · arxiv_version: 2504.03074v1 · doi: 10.48550/arxiv.2504.03074 · pith_short_12: VPZ5MPAXFV3H · pith_short_16: VPZ5MPAXFV3H7ZXB · pith_short_8: VPZ5MPAX

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/VPZ5MPAXFV3H7ZXBPV2U6BER57 \
  | 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: abf3d63c172d767fe6e17d754f0491efc1e94e42f0a97df482fe4205ee95fa92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b9bbb7cf6b0a74ef2eb95b99d5583243bbb63d090d986c6ee06a0f2df95f79",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-03T22:53:38Z",
    "title_canon_sha256": "a47db38329fc01d2c748acbdf9e42e33e6f8652987fac870d0e39006a416f2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03074",
    "kind": "arxiv",
    "version": 1
  }
}