Pith Number

pith:4WKD3ZAQ

pith:2019:4WKD3ZAQM4AXZ7TZDOFIWUFPL7

not attested not anchored not stored refs pending

Symplectic ODE-Net: Learning Hamiltonian Dynamics with Control

Amit Chakraborty, Biswadip Dey, Yaofeng Desmond Zhong

arxiv:1909.12077 v5 · 2019-09-26 · cs.LG · cs.SY · eess.SY · physics.comp-ph · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WKD3ZAQM4AXZ7TZDOFIWUFPL7}

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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.

Cited by

12 papers in Pith

CaLiSym: Learning Symplectic Dynamics of Real-World Systems through Structured Canonical Lifts

Symplectic Neural Networks for learning Generalized Hamiltonians

Locally Stable Neural ODEs with Characterized Region of Attraction

NEXUS: Neural Energy Fields for Physically Consistent Contact-Rich 3D Object Dynamics

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Receipt and verification

First computed	2026-07-05T07:50:46.822912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5943de41067017cfe791b8a8b50af5fed670df2940377a38ce7b6894030d44f

Aliases

arxiv: 1909.12077 · arxiv_version: 1909.12077v5 · doi: 10.48550/arxiv.1909.12077 · pith_short_12: 4WKD3ZAQM4AX · pith_short_16: 4WKD3ZAQM4AXZ7TZ · pith_short_8: 4WKD3ZAQ

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/4WKD3ZAQM4AXZ7TZDOFIWUFPL7 \
  | 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: e5943de41067017cfe791b8a8b50af5fed670df2940377a38ce7b6894030d44f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1401e63b7ddb534deff1062aca44a9d2f45ca0a2c8b856fb28864e14d6492de0",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-09-26T13:13:16Z",
    "title_canon_sha256": "766777faf78a3af0bbc8eb0902b7ac81b18d390896e1082d3a8c02cb43f738cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.12077",
    "kind": "arxiv",
    "version": 5
  }
}