Pith Number

pith:3XLGA5AF

pith:2011:3XLGA5AFAJPC5CKZ7PMYUNMN7C

not attested not anchored not stored refs pending

Cubic polynomials on Lie groups: reduction of the Hamiltonian system

J. Clemente-Gallardo, L. Abrunheiro, M. Camarinha

arxiv:1102.2324 v2 · 2011-02-11 · math.OC · 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{3XLGA5AFAJPC5CKZ7PMYUNMN7C}

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	2026-05-18T02:03:12.146136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd6607405025e2e8959fbd98a358df89e374fcc64f501e2095b5cb15f1608f8

Aliases

arxiv: 1102.2324 · arxiv_version: 1102.2324v2 · doi: 10.48550/arxiv.1102.2324 · pith_short_12: 3XLGA5AFAJPC · pith_short_16: 3XLGA5AFAJPC5CKZ · pith_short_8: 3XLGA5AF

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/3XLGA5AFAJPC5CKZ7PMYUNMN7C \
  | 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: ddd6607405025e2e8959fbd98a358df89e374fcc64f501e2095b5cb15f1608f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a49a2e48d2763b2705861d8feed2e2db5eeca180b7576f5da536fd22bbc9431",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-11T10:59:17Z",
    "title_canon_sha256": "0767035979a56b3dcd83de826113f29e5a22a01aab23e30f9f4d030094e6f561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2324",
    "kind": "arxiv",
    "version": 2
  }
}