Pith Number

pith:A3WO2Y2I

pith:2021:A3WO2Y2IJLPD6JIUQQ7RGDZJV4

not attested not anchored not stored refs pending

Data-Driven Computational Methods for the Domain of Attraction and Zubov's Equation

Kai Sun, Liang Xu, Wei Kang

arxiv:2112.14415 v1 · 2021-12-29 · math.DS · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3WO2Y2IJLPD6JIUQQ7RGDZJV4}

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.

Cited by

1 paper in Pith

Towards Learning and Verifying Maximal Neural Lyapunov Functions

Receipt and verification

First computed	2026-07-05T03:44:21.977659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06eced63484ade3f2514843f130f29af00402a8f5074935ba35f360f9b882017

Aliases

arxiv: 2112.14415 · arxiv_version: 2112.14415v1 · doi: 10.48550/arxiv.2112.14415 · pith_short_12: A3WO2Y2IJLPD · pith_short_16: A3WO2Y2IJLPD6JIU · pith_short_8: A3WO2Y2I

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/A3WO2Y2IJLPD6JIUQQ7RGDZJV4 \
  | 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: 06eced63484ade3f2514843f130f29af00402a8f5074935ba35f360f9b882017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b13c1108ef065ce94aa0797cc48b3561ed6699034f8f512d5855a206948426",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-12-29T06:41:34Z",
    "title_canon_sha256": "a82666e86b822920919115c60a0f91229e944e2f4ef01934c2d267ee831129b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14415",
    "kind": "arxiv",
    "version": 1
  }
}