Pith Number

pith:U2VPRC4G

pith:2009:U2VPRC4GPMES7XF5P63OP4XW5W

not attested not anchored not stored refs pending

On converting any one-step method to a variational integrator of the same order

Charles Cuell, George W. Patrick, Raymond J. Spiteri, William Zhang

arxiv:0903.0907 v1 · 2009-03-05 · 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{U2VPRC4GPMES7XF5P63OP4XW5W}

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	2026-06-03T23:06:11.561858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6aaf88b867b092fdcbd7fb6e7f2f6ed898e7793226caf6e27438de959472410

Aliases

arxiv: 0903.0907 · arxiv_version: 0903.0907v1 · doi: 10.48550/arxiv.0903.0907 · pith_short_12: U2VPRC4GPMES · pith_short_16: U2VPRC4GPMES7XF5 · pith_short_8: U2VPRC4G

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/U2VPRC4GPMES7XF5P63OP4XW5W \
  | 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: a6aaf88b867b092fdcbd7fb6e7f2f6ed898e7793226caf6e27438de959472410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c183efee9a9d03bc35e587929d1d6890175574035d411729e0fbfd3382825c2",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-03-05T05:13:21Z",
    "title_canon_sha256": "e6385b22e1f128fb55616ed9a4d4d34b282137afefafec82ecfd054e87194561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0907",
    "kind": "arxiv",
    "version": 1
  }
}