Pith Number

pith:UIDYDLTP

pith:2025:UIDYDLTP33NIJEJACM252FMJGE

not attested not anchored not stored refs pending

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration

Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon

arxiv:2507.04991 v2 · 2025-07-07 · math.NA · cs.NA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIDYDLTP33NIJEJACM252FMJGE}

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

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schr\"odinger equations

Receipt and verification

First computed	2026-07-05T11:33:26.963056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20781ae6fdeda8491201335dd1589310639042faa6d478a384e77141d4c341a

Aliases

arxiv: 2507.04991 · arxiv_version: 2507.04991v2 · doi: 10.48550/arxiv.2507.04991 · pith_short_12: UIDYDLTP33NI · pith_short_16: UIDYDLTP33NIJEJA · pith_short_8: UIDYDLTP

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/UIDYDLTP33NIJEJACM252FMJGE \
  | 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: a20781ae6fdeda8491201335dd1589310639042faa6d478a384e77141d4c341a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5600ca4a5ca3a04fd58a485490059a0a61a21b061292da9a1c071dbef91986",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-07T13:30:40Z",
    "title_canon_sha256": "7da94d59f89e8da1581e81f0c02243d009c3fcb989f0553dd7a4496b83d3cd00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04991",
    "kind": "arxiv",
    "version": 2
  }
}