Pith Number

pith:UMAD4DQ4

pith:2011:UMAD4DQ4EMU6DPVIBTGSOAEN4P

not attested not anchored not stored refs pending

Dirac Algebroids in Lagrangian and Hamiltonian Mechanics

Janusz Grabowski, Katarzyna Grabowska

arxiv:1101.2497 v1 · 2011-01-13 · math-ph · math.DG · 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{UMAD4DQ4EMU6DPVIBTGSOAEN4P}

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	2026-05-18T04:09:34.940868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3003e0e1c2329e1bea80ccd27008de3e5bc0a9aa01370e6d8c290a2d8ae922b

Aliases

arxiv: 1101.2497 · arxiv_version: 1101.2497v1 · doi: 10.48550/arxiv.1101.2497 · pith_short_12: UMAD4DQ4EMU6 · pith_short_16: UMAD4DQ4EMU6DPVI · pith_short_8: UMAD4DQ4

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/UMAD4DQ4EMU6DPVIBTGSOAEN4P \
  | 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: a3003e0e1c2329e1bea80ccd27008de3e5bc0a9aa01370e6d8c290a2d8ae922b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954dc8f998d4aa4ca3114eb40e18e9c784f1ee9e1a9428be21a79c50f18b0952",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-13T07:52:31Z",
    "title_canon_sha256": "8f4c36d3f3c11bf123d0e334fdc9f710936a5ffa97da2783c8e8555c1422da49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2497",
    "kind": "arxiv",
    "version": 1
  }
}