Pith Number

pith:7WRPXC2U

pith:2012:7WRPXC2U2ISQL3T3D7FMYMKKH4

not attested not anchored not stored refs pending

Structure preserving integrators for solving linear quadratic optimal control problems with applications to describe the flight of a quadrotor

Enrique Ponsoda, Philipp Bader, Sergio Blanes

arxiv:1212.0474 v1 · 2012-12-03 · 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{7WRPXC2U2ISQL3T3D7FMYMKKH4}

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	2026-05-18T03:39:17.391173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda2fb8b54d22505ee7b1fcacc314a3f112dc033382ba8d0b73b7c057e1732df

Aliases

arxiv: 1212.0474 · arxiv_version: 1212.0474v1 · doi: 10.48550/arxiv.1212.0474 · pith_short_12: 7WRPXC2U2ISQ · pith_short_16: 7WRPXC2U2ISQL3T3 · pith_short_8: 7WRPXC2U

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/7WRPXC2U2ISQL3T3D7FMYMKKH4 \
  | 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: fda2fb8b54d22505ee7b1fcacc314a3f112dc033382ba8d0b73b7c057e1732df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a68e865b3205f0302a75ce3ccc274c859f2282957a78d82c41baa533644d640",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-03T18:11:48Z",
    "title_canon_sha256": "69e8d016779c239644f2feedacafd37490dcb2d6f6368afacc2315100b0203ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0474",
    "kind": "arxiv",
    "version": 1
  }
}