Pith Number

pith:5OIZI3PR

pith:2010:5OIZI3PRL3LAP4HJHBGXA4HK6N

not attested not anchored not stored refs pending

Routh reduction for singular Lagrangians

Bavo Langerock, Marco Castrill\'on L\'opez

arxiv:1007.0325 v1 · 2010-07-02 · 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{5OIZI3PRL3LAP4HJHBGXA4HK6N}

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	2026-05-18T02:06:32.994123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb91946df15ed607f0e9384d7070eaf379cafdecf0a7cbb38b81fa7794135463

Aliases

arxiv: 1007.0325 · arxiv_version: 1007.0325v1 · doi: 10.48550/arxiv.1007.0325 · pith_short_12: 5OIZI3PRL3LA · pith_short_16: 5OIZI3PRL3LAP4HJ · pith_short_8: 5OIZI3PR

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/5OIZI3PRL3LAP4HJHBGXA4HK6N \
  | 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: eb91946df15ed607f0e9384d7070eaf379cafdecf0a7cbb38b81fa7794135463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1ee9f4d7d3eea15271fc45cba1a64ae9c1539e22e9aa3a3a04ebc811b59645",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-02T09:54:45Z",
    "title_canon_sha256": "a5938c8c9908c7a270e1b86e317c581220cd01a98acf0885cfa839a49dbb9696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0325",
    "kind": "arxiv",
    "version": 1
  }
}