Pith Number

pith:Y3RR46QJ

pith:2011:Y3RR46QJLUHYAJVTG2OYATJWJB

not attested not anchored not stored refs pending

Symplectic groupoids and discrete constrained Lagrangian mechanics

Ari Stern, David Mart\'in de Diego, Juan Carlos Marrero

arxiv:1103.6250 v2 · 2011-03-31 · math.SG · math.DS · 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{Y3RR46QJLUHYAJVTG2OYATJWJB}

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	2026-05-18T01:28:06.406220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e31e7a095d0f8026b3369d804d36485e5bcaed044737f5a14c25003856f4b3

Aliases

arxiv: 1103.6250 · arxiv_version: 1103.6250v2 · doi: 10.48550/arxiv.1103.6250 · pith_short_12: Y3RR46QJLUHY · pith_short_16: Y3RR46QJLUHYAJVT · pith_short_8: Y3RR46QJ

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/Y3RR46QJLUHYAJVTG2OYATJWJB \
  | 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: c6e31e7a095d0f8026b3369d804d36485e5bcaed044737f5a14c25003856f4b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "944923b762d56d1eb70f1039d743fa841e8ec06c658182e36f12b2eb2f898595",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-03-31T17:43:36Z",
    "title_canon_sha256": "99e2282febb94156f5baec3d3ca53d3032422d74a469cbf70de3aab45e184714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6250",
    "kind": "arxiv",
    "version": 2
  }
}