Pith Number

pith:PTYKCX6F

pith:2012:PTYKCX6FKWRUV7QI6VRYMYZJSB

not attested not anchored not stored refs pending

On the Hamilton-Jacobi Theory for Singular Lagrangian Systems

David Mart\'in de Diego, Juan Carlos Marrero, Manuel de Le\'on, Miguel Vaquero

arxiv:1204.6217 v1 · 2012-04-27 · 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{PTYKCX6FKWRUV7QI6VRYMYZJSB}

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	2026-05-18T01:57:43.200251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf0a15fc555a34afe08f563866329905ada44ed62185a5df5cab4052f766d86

Aliases

arxiv: 1204.6217 · arxiv_version: 1204.6217v1 · doi: 10.48550/arxiv.1204.6217 · pith_short_12: PTYKCX6FKWRU · pith_short_16: PTYKCX6FKWRUV7QI · pith_short_8: PTYKCX6F

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/PTYKCX6FKWRUV7QI6VRYMYZJSB \
  | 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: 7cf0a15fc555a34afe08f563866329905ada44ed62185a5df5cab4052f766d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1279738dcc21f6bcdb6a53024c67c2ea1a4f6f13cd441636a354acef8281e351",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-27T13:53:29Z",
    "title_canon_sha256": "8511f5040f67c4563ca52ea3cedc3bd7e77cb6c83394ab41c4047362e01fdfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6217",
    "kind": "arxiv",
    "version": 1
  }
}