Pith Number

pith:UJBU6B7I

pith:2025:UJBU6B7IPNMXD76U34Q2E734M3

not attested not anchored not stored refs pending

A Multi-Frequency Helmholtz Solver Based on the WaveHoltz Algorithm

Cassandra Carrick, Daniel Appel\"o, Donald W. Schwendeman, Francis Appiah, Jeffrey W. Banks, William D. Henshaw

arxiv:2507.23613 v1 · 2025-07-31 · 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{UJBU6B7IPNMXD76U34Q2E734M3}

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	2026-07-05T11:46:28.007684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2434f07e87b5971ffd4df21a27f7c66dd66660d01ddeb4dcda0245d5638acac

Aliases

arxiv: 2507.23613 · arxiv_version: 2507.23613v1 · doi: 10.48550/arxiv.2507.23613 · pith_short_12: UJBU6B7IPNMX · pith_short_16: UJBU6B7IPNMXD76U · pith_short_8: UJBU6B7I

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/UJBU6B7IPNMXD76U34Q2E734M3 \
  | 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: a2434f07e87b5971ffd4df21a27f7c66dd66660d01ddeb4dcda0245d5638acac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698978427a7a8d18fba9e88f4c23c049d051a9d80e8401e45e37e41cc3a3699e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-31T14:52:06Z",
    "title_canon_sha256": "d1902564912afd6ff4c4d1dcb16eef58ab4218b9ad5302ea9ea9c2328d64e92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23613",
    "kind": "arxiv",
    "version": 1
  }
}