Pith Number

pith:ZWAGLLEX

pith:2026:ZWAGLLEXT557SACW4M2FHPK3VR

not attested not anchored not stored refs pending

Effect of different clustering approaches on the multilevel fast multipole method for the Helmholtz equation

Christian Kasess, Wolfgang Kreuzer

arxiv:2606.31771 v1 · 2026-06-30 · 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{ZWAGLLEXT557SACW4M2FHPK3VR}

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	2026-07-01T01:18:14.288466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8065ac979f7bf90056e33453bd5bac426a6c2fd5dacac44ff04b9461af182b

Aliases

arxiv: 2606.31771 · arxiv_version: 2606.31771v1 · doi: 10.48550/arxiv.2606.31771 · pith_short_12: ZWAGLLEXT557 · pith_short_16: ZWAGLLEXT557SACW · pith_short_8: ZWAGLLEX

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/ZWAGLLEXT557SACW4M2FHPK3VR \
  | 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: cd8065ac979f7bf90056e33453bd5bac426a6c2fd5dacac44ff04b9461af182b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9004b0cca556276271db5530a1aa17b6eb6667cf5b0fd11fc69dc30d69367d4d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-30T14:55:34Z",
    "title_canon_sha256": "f764be50a683c67391bb95ea67ddf44045461ff86f0cb84991306e9a109480d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31771",
    "kind": "arxiv",
    "version": 1
  }
}