Pith Number

pith:OX4YYQDL

pith:2007:OX4YYQDLCCOQLPR7ONVTJV2VUK

not attested not anchored not stored refs pending

Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications

A. Echeverria-Enriquez, D. Martin de Diego, M. Barbero-Li\~nan, M.C. Mu\~noz-Lecanda, N. Roman-Roy

arxiv:0705.2178 v2 · 2007-05-15 · 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{OX4YYQDLCCOQLPR7ONVTJV2VUK}

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	2026-05-18T01:24:31.270843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f98c406b109d05be3f736b34d755a2bbf096f9ae116bad43c11383d19814de

Aliases

arxiv: 0705.2178 · arxiv_version: 0705.2178v2 · doi: 10.48550/arxiv.0705.2178 · pith_short_12: OX4YYQDLCCOQ · pith_short_16: OX4YYQDLCCOQLPR7 · pith_short_8: OX4YYQDL

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/OX4YYQDLCCOQLPR7ONVTJV2VUK \
  | 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: 75f98c406b109d05be3f736b34d755a2bbf096f9ae116bad43c11383d19814de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4938587f54d9a532ce89ab35327ba6106043a6f7b9a9c0ba2fd31aaed5bf02a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-15T16:02:50Z",
    "title_canon_sha256": "7f87008ccd6015ded8512dcfedb769366425b01aad0587dedf02595c73b8a396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2178",
    "kind": "arxiv",
    "version": 2
  }
}