Pith Number

pith:JF6HLM35

pith:2023:JF6HLM35SPSHGYY6AAXIMXTVA4

not attested not anchored not stored refs pending

Physics-Informed Neural Network Lyapunov Functions: PDE Characterization, Learning, and Verification

Jun Liu, Maxwell Fitzsimmons, Ruikun Zhou, Yiming Meng

arxiv:2312.09131 v4 · 2023-12-14 · math.OC · cs.LG · cs.SY · eess.SY

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF6HLM35SPSHGYY6AAXIMXTVA4}

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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

1 paper in Pith

Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator

Receipt and verification

First computed	2026-07-05T11:14:46.307199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497c75b37d93e473631e002e865e75072e5b8898c7f653c8539c74a7bb98a4f1

Aliases

arxiv: 2312.09131 · arxiv_version: 2312.09131v4 · doi: 10.48550/arxiv.2312.09131 · pith_short_12: JF6HLM35SPSH · pith_short_16: JF6HLM35SPSHGYY6 · pith_short_8: JF6HLM35

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/JF6HLM35SPSHGYY6AAXIMXTVA4 \
  | 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: 497c75b37d93e473631e002e865e75072e5b8898c7f653c8539c74a7bb98a4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e608f19ed96c36947ea2224c448daf3dd669273eceeb5302ee1b9e275ed28cb2",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-12-14T17:01:58Z",
    "title_canon_sha256": "106e546a9c179db36ea9a1449a9c0f7f04063913f3408507c8c34d3d4dc408f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.09131",
    "kind": "arxiv",
    "version": 4
  }
}