Pith Number

pith:6O4O2WNQ

pith:2020:6O4O2WNQ74PUSRFCMFZM7RZIAN

not attested not anchored not stored refs pending

Computing Lyapunov functions using deep neural networks

Lars Gr\"une

arxiv:2005.08965 v2 · 2020-05-18 · math.OC · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O4O2WNQ74PUSRFCMFZM7RZIAN}

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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

HyParLyVe: Hyperplane Partitioning for Neural Lyapunov Verification

Receipt and verification

First computed	2026-07-05T01:55:10.098818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b8ed59b0ff1f4944a26172cfc7280367863612ef06ae0db52601304465d014

Aliases

arxiv: 2005.08965 · arxiv_version: 2005.08965v2 · doi: 10.48550/arxiv.2005.08965 · pith_short_12: 6O4O2WNQ74PU · pith_short_16: 6O4O2WNQ74PUSRFC · pith_short_8: 6O4O2WNQ

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/6O4O2WNQ74PUSRFCMFZM7RZIAN \
  | 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: f3b8ed59b0ff1f4944a26172cfc7280367863612ef06ae0db52601304465d014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560bc2fb2393e6b486b1637022623e69486150bde619020aaf904f632a61ced2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-05-18T11:51:01Z",
    "title_canon_sha256": "0973de98be1a9bdb16d405c1286289c577674ef6a52648ff84befadb80969d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.08965",
    "kind": "arxiv",
    "version": 2
  }
}