Pith Number

pith:MO2CPK4F

pith:2009:MO2CPK4FJ2WODREBHOBQUNAXND

not attested not anchored not stored refs pending

Fourier Based Fast Multipole Method for the Helmholtz Equation

Cris Cecka, Eric Darve

arxiv:0911.4114 v2 · 2009-11-20 · math.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{MO2CPK4FJ2WODREBHOBQUNAXND}

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	2026-05-18T02:56:05.464399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b427ab854eace1c4813b830a341768e9c0a1bf157c5c9d09f165ce1092c867

Aliases

arxiv: 0911.4114 · arxiv_version: 0911.4114v2 · doi: 10.48550/arxiv.0911.4114 · pith_short_12: MO2CPK4FJ2WO · pith_short_16: MO2CPK4FJ2WODREB · pith_short_8: MO2CPK4F

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/MO2CPK4FJ2WODREBHOBQUNAXND \
  | 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: 63b427ab854eace1c4813b830a341768e9c0a1bf157c5c9d09f165ce1092c867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c5d156d1e58b8f5ff7dd2fe9aec3b78c2a27ea9e4d12a17bb078b9236e03f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-11-20T20:09:38Z",
    "title_canon_sha256": "0e597a5ccadb08037a07a9db9954489f4d340a611c5445fd85ec995787825fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4114",
    "kind": "arxiv",
    "version": 2
  }
}