Pith Number

pith:QFPLTLIJ

pith:2014:QFPLTLIJUDVHQISY47Z4PCDQQH

not attested not anchored not stored refs pending

A geometric approach to the optimal control of nonholnomic mechanical systems

Anthony Bloch, David Martin de Diego, Leonardo Colombo, Rohit Gupta

arxiv:1410.5682 v2 · 2014-10-21 · math.OC · math-ph · math.DG · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFPLTLIJUDVHQISY47Z4PCDQQH}

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	2026-05-18T02:30:39.561522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

815eb9ad09a0ea782258e7f3c7887081d4bcbd4bd3fa4b864bcc986b9471b5af

Aliases

arxiv: 1410.5682 · arxiv_version: 1410.5682v2 · doi: 10.48550/arxiv.1410.5682 · pith_short_12: QFPLTLIJUDVH · pith_short_16: QFPLTLIJUDVHQISY · pith_short_8: QFPLTLIJ

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/QFPLTLIJUDVHQISY47Z4PCDQQH \
  | 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: 815eb9ad09a0ea782258e7f3c7887081d4bcbd4bd3fa4b864bcc986b9471b5af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e48ff5c47309ab39021bd98fb0aee2760c7de113119c7ed2dd0a3242f32480b",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-21T14:35:10Z",
    "title_canon_sha256": "260024f961efcaf6015c3988be4ce3af3a1448906ee23ee47919fdf560753e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5682",
    "kind": "arxiv",
    "version": 2
  }
}