Pith Number

pith:4A7I3JVQ

pith:2025:4A7I3JVQTBSV2CVTKNTPP3GL3Y

not attested not anchored not stored refs pending

Multirate Runge-Kutta for Nonlinearly Partitioned Systems

Ben S. Southworth, Brian K. Tran, Tommaso Buvoli

arxiv:2504.03257 v1 · 2025-04-04 · 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{4A7I3JVQTBSV2CVTKNTPP3GL3Y}

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.

Cited by

1 paper in Pith

Preconditioning transformations of adjoint systems for evolution equations

Receipt and verification

First computed	2026-07-05T10:44:29.007258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03e8da6b098655d0ab35366f7eccbde35b28a1f982660a8f1de7744bcafd00d

Aliases

arxiv: 2504.03257 · arxiv_version: 2504.03257v1 · doi: 10.48550/arxiv.2504.03257 · pith_short_12: 4A7I3JVQTBSV · pith_short_16: 4A7I3JVQTBSV2CVT · pith_short_8: 4A7I3JVQ

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/4A7I3JVQTBSV2CVTKNTPP3GL3Y \
  | 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: e03e8da6b098655d0ab35366f7eccbde35b28a1f982660a8f1de7744bcafd00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b945943bbaddc319d4c852e9a7b63c2cfb4b5d90db35eba49f69299e8d3ae22",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-04-04T08:18:21Z",
    "title_canon_sha256": "bb79b242339cf4907050e1e1c3376505f05dab785db7f105bef262d7261e12ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03257",
    "kind": "arxiv",
    "version": 1
  }
}