Pith Number

pith:LGB4JT6E

pith:2020:LGB4JT6EOVT3AF65Z3V6BZOIAL

not attested not anchored not stored refs pending

Learning Lyapunov Functions for Piecewise Affine Systems with Neural Network Controllers

George J. Pappas, Mahyar Fazlyab, Manfred Morari, Shaoru Chen, Victor M. Preciado

arxiv:2008.06546 v2 · 2020-08-14 · math.OC

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\usepackage{pith}
\pithnumber{LGB4JT6EOVT3AF65Z3V6BZOIAL}

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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

A constrained symbolic regression approach for Lyapunov function discovery

Receipt and verification

First computed	2026-07-05T01:53:38.767326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5983c4cfc47567b017ddceebe0e5c802eae926104077e100a16462d1c4e2e34f

Aliases

arxiv: 2008.06546 · arxiv_version: 2008.06546v2 · doi: 10.48550/arxiv.2008.06546 · pith_short_12: LGB4JT6EOVT3 · pith_short_16: LGB4JT6EOVT3AF65 · pith_short_8: LGB4JT6E

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/LGB4JT6EOVT3AF65Z3V6BZOIAL \
  | 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: 5983c4cfc47567b017ddceebe0e5c802eae926104077e100a16462d1c4e2e34f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9625c6d25ad8cc576527583a6535ea985abae06db17b522130d0bbde045f89ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-08-14T19:03:09Z",
    "title_canon_sha256": "1f5bb2d06a9dbfae7e822bec759ec3c762aeaea0b785cc23fdc0d83b3b9986ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.06546",
    "kind": "arxiv",
    "version": 2
  }
}