Pith Number

pith:7DIDMFK7

pith:2002:7DIDMFK7XV4EBOR36ZWYG55J4E

not attested not anchored not stored refs pending

Geometric numerical integration of nonholonomic systems and optimal control problems

A. Santamaria Merino, D. Martin de Diego, M. de Leon

arxiv:math-ph/0212007 v1 · 2002-12-02 · math-ph · math.MP · math.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{7DIDMFK7XV4EBOR36ZWYG55J4E}

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	2026-05-18T01:05:31.897019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d036155fbd7840ba3bf66d8377a9e12f508aaf1e8bb92cba8a1f5cdf322405

Aliases

arxiv: math-ph/0212007 · arxiv_version: math-ph/0212007v1 · doi: 10.48550/arxiv.math-ph/0212007 · pith_short_12: 7DIDMFK7XV4E · pith_short_16: 7DIDMFK7XV4EBOR3 · pith_short_8: 7DIDMFK7

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/7DIDMFK7XV4EBOR36ZWYG55J4E \
  | 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: f8d036155fbd7840ba3bf66d8377a9e12f508aaf1e8bb92cba8a1f5cdf322405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89a73c6c382c0a201875b15e5fa04e80cc26438792df08f52513897b68c230a",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-02T15:35:31Z",
    "title_canon_sha256": "1089a294f7968b0f8a89e44f71a5cf5cbd034d30577603722e1dbcae72e3b56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212007",
    "kind": "arxiv",
    "version": 1
  }
}