Pith Number

pith:XIOLWQJP

pith:2025:XIOLWQJPQIL57WMFH36PBIJEC3

not attested not anchored not stored refs pending

Convergence analysis of GMRES applied to Helmholtz problems near resonances

Axel Modave, Pierre Marchand, Timoth\'ee Raynaud, Victorita Dolean

arxiv:2505.16345 v2 · 2025-05-22 · 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{XIOLWQJPQIL57WMFH36PBIJEC3}

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	2026-06-12T01:09:09.133948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1cbb412f8217dfd9853efcf0a12416e39268622cec103721e8456d75b09e76

Aliases

arxiv: 2505.16345 · arxiv_version: 2505.16345v2 · doi: 10.48550/arxiv.2505.16345 · pith_short_12: XIOLWQJPQIL5 · pith_short_16: XIOLWQJPQIL57WMF · pith_short_8: XIOLWQJP

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/XIOLWQJPQIL57WMFH36PBIJEC3 \
  | 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: ba1cbb412f8217dfd9853efcf0a12416e39268622cec103721e8456d75b09e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30961be4ae613e8c72f5062f3079d6d227c46e142c4830989331de81e4472b0",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-22T07:59:18Z",
    "title_canon_sha256": "9b9ea8620bd647417dc981fdda4343ef3445d11372f422ca42aaacf697a9e503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16345",
    "kind": "arxiv",
    "version": 2
  }
}