Pith Number

pith:7JIIOA2D

pith:2005:7JIIOA2DHT4A6HRGZV2DIJHF7O

not attested not anchored not stored refs pending

Discrete Lagrangian and Hamiltonian Mechanics on Lie groupoids

D. Mart\'in de Diego, E. Mart\'inez, J.C. Marrero

arxiv:math/0506299 v2 · 2005-06-15 · math.DG · 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{7JIIOA2DHT4A6HRGZV2DIJHF7O}

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	2026-05-18T01:08:51.035822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa508703433cf80f1e26cd743424e5fba3fe92df141d20a18c0b00f9bb9087a6

Aliases

arxiv: math/0506299 · arxiv_version: math/0506299v2 · doi: 10.48550/arxiv.math/0506299 · pith_short_12: 7JIIOA2DHT4A · pith_short_16: 7JIIOA2DHT4A6HRG · pith_short_8: 7JIIOA2D

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/7JIIOA2DHT4A6HRGZV2DIJHF7O \
  | 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: fa508703433cf80f1e26cd743424e5fba3fe92df141d20a18c0b00f9bb9087a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ae32427f3d7251744df4e9dad028c4c6bdeb3b8250f3da78e1ecc6082cb5b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-06-15T11:41:33Z",
    "title_canon_sha256": "f6352699ff55b0a14f0842ddf5718c5f25c2d63d5964a04795989d15336b849f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506299",
    "kind": "arxiv",
    "version": 2
  }
}