Pith Number

pith:ZPXUA5GO

pith:2018:ZPXUA5GOURDEZGNNDDBCDMYVR2

not attested not anchored not stored refs pending

A fast Fourier transform based direct solver for the Helmholtz problem

Jari Toivanen, Monika Wolfmayr

arxiv:1809.03808 v3 · 2018-09-11 · 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{ZPXUA5GOURDEZGNNDDBCDMYVR2}

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	2026-06-04T20:13:18.857664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbef4074cea4464c99ad18c221b3158ebdd30166e1f685fdf354b5179d18d062

Aliases

arxiv: 1809.03808 · arxiv_version: 1809.03808v3 · doi: 10.48550/arxiv.1809.03808 · pith_short_12: ZPXUA5GOURDE · pith_short_16: ZPXUA5GOURDEZGNN · pith_short_8: ZPXUA5GO

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/ZPXUA5GOURDEZGNNDDBCDMYVR2 \
  | 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: cbef4074cea4464c99ad18c221b3158ebdd30166e1f685fdf354b5179d18d062

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3341e55d4846314044e606b65538babf6a6f99f794245533f8dcb7c6fe788d4b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-09-11T12:08:41Z",
    "title_canon_sha256": "62d26507e75285a87db0326aa552c03fd02f40fbba996c7e44e378d8505307de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03808",
    "kind": "arxiv",
    "version": 3
  }
}