Pith Number

pith:GOOKTIZD

pith:2024:GOOKTIZDMDXVEA4G7LGRASIWSJ

not attested not anchored not stored refs pending

LyZNet: A Lightweight Python Tool for Learning and Verifying Neural Lyapunov Functions and Regions of Attraction

Jun Liu, Maxwell Fitzsimmons, Ruikun Zhou, Yiming Meng

arxiv:2403.10013 v1 · 2024-03-15 · eess.SY · cs.LG · cs.SY · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOOKTIZDMDXVEA4G7LGRASIWSJ}

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	2026-07-05T07:56:28.745850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339ca9a32360ef520386facd104916924eec6fb8c79cbe31822e83a04444264c

Aliases

arxiv: 2403.10013 · arxiv_version: 2403.10013v1 · doi: 10.48550/arxiv.2403.10013 · pith_short_12: GOOKTIZDMDXV · pith_short_16: GOOKTIZDMDXVEA4G · pith_short_8: GOOKTIZD

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/GOOKTIZDMDXVEA4G7LGRASIWSJ \
  | 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: 339ca9a32360ef520386facd104916924eec6fb8c79cbe31822e83a04444264c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49f06e9471d75e0ed9b841fcb88628ebb83d9e3b569bfdbe53dd6ba68ade7b3",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2024-03-15T04:35:56Z",
    "title_canon_sha256": "96f37f8766b450e3f31cccf819a7a5262949acc324df7efbf93aaa6d17a334fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.10013",
    "kind": "arxiv",
    "version": 1
  }
}