Pith Number

pith:B66N6Y43

pith:2015:B66N6Y43BCCA5KHMOSJRQX7UG3

not attested not anchored not stored refs pending

High order variational integrators in the optimal control of mechanical systems

C\'edric M. Campos, Emmanuel Tr\'elat, Sina Ober-Bl\"obaum

arxiv:1502.00325 v1 · 2015-02-01 · math.OC · math.DS · 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{B66N6Y43BCCA5KHMOSJRQX7UG3}

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	2026-05-18T02:16:40.944156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fbcdf639b08840ea8ec7493185ff436db2e31ff2ebb016ba220228de28b35df

Aliases

arxiv: 1502.00325 · arxiv_version: 1502.00325v1 · doi: 10.48550/arxiv.1502.00325 · pith_short_12: B66N6Y43BCCA · pith_short_16: B66N6Y43BCCA5KHM · pith_short_8: B66N6Y43

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/B66N6Y43BCCA5KHMOSJRQX7UG3 \
  | 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: 0fbcdf639b08840ea8ec7493185ff436db2e31ff2ebb016ba220228de28b35df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198b1f29834dcbc3afdfd6de2843b0aaa02bfb09a2018f151cca5873c6232c46",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-02-01T23:17:39Z",
    "title_canon_sha256": "259f6af719e7a6921cb9d5e461960c1c5ad2a5941728a3302c4e36efef13fc51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00325",
    "kind": "arxiv",
    "version": 1
  }
}