Pith Number

pith:YMROAEYI

pith:2013:YMROAEYILWLHANL37GBDSQTO5P

not attested not anchored not stored refs pending

Lagrange-Poincar\'e reduction for optimal control of underactuated mechanical systems

Leonardo Colombo

arxiv:1306.6005 v2 · 2013-06-25 · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMROAEYILWLHANL37GBDSQTO5P}

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	2026-05-18T02:29:08.475653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c322e013085d9670357bf98239426eebdaa9b1ff8ec41e1e92cfed2e6d0f720e

Aliases

arxiv: 1306.6005 · arxiv_version: 1306.6005v2 · doi: 10.48550/arxiv.1306.6005 · pith_short_12: YMROAEYILWLH · pith_short_16: YMROAEYILWLHANL3 · pith_short_8: YMROAEYI

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/YMROAEYILWLHANL37GBDSQTO5P \
  | 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: c322e013085d9670357bf98239426eebdaa9b1ff8ec41e1e92cfed2e6d0f720e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb6c9c26d09ec44909fb808fcace055f8c697ae4a73893860ff10af8196a7e2",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-25T15:39:42Z",
    "title_canon_sha256": "171058f3e504179f5cf5dc7459509601666d82446cf4ea9bae21a79dbc430f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6005",
    "kind": "arxiv",
    "version": 2
  }
}