Pith Number

pith:WXXHV3KF

pith:2015:WXXHV3KFQK4CEO4Z6GKGVPXDDC

not attested not anchored not stored refs pending

Hamilton-Jacobi theory, Symmetries and Coisotropic Reduction

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

arxiv:1509.00419 v1 · 2015-09-01 · 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{WXXHV3KFQK4CEO4Z6GKGVPXDDC}

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	2026-05-18T01:34:14.139516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ee7aed4582b8223b99f1946abee31897088a0bb698d7e06d6d1538217cac09

Aliases

arxiv: 1509.00419 · arxiv_version: 1509.00419v1 · doi: 10.48550/arxiv.1509.00419 · pith_short_12: WXXHV3KFQK4C · pith_short_16: WXXHV3KFQK4CEO4Z · pith_short_8: WXXHV3KF

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/WXXHV3KFQK4CEO4Z6GKGVPXDDC \
  | 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: b5ee7aed4582b8223b99f1946abee31897088a0bb698d7e06d6d1538217cac09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "096e7c85f00e754eb8ef610ed4b032e0cc80e962b4f17db20a3c41b23a2aaab5",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-01T17:59:17Z",
    "title_canon_sha256": "f1aab1282753159fae5bc8e930405d2a3a9974c1050f4e04c8b1e4537b83d06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00419",
    "kind": "arxiv",
    "version": 1
  }
}