Pith Number

pith:EQSWAHZO

pith:2026:EQSWAHZOTSRE4JS4TSF7QXTLL2

not attested not anchored not stored refs pending

Learning Neural Maximal Lyapunov Functions on $\mathsf{SO}(n)$

Adeel Akhtar, Matthieu Barreau

arxiv:2606.19669 v1 · 2026-06-18 · math.OC · 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{EQSWAHZOTSRE4JS4TSF7QXTLL2}

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	2026-06-19T16:12:31.755975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2425601f2e9ca24e265c9c8bf85e6b5ea2078a95d354fc84aeb4ff4d51fd5392

Aliases

arxiv: 2606.19669 · arxiv_version: 2606.19669v1 · doi: 10.48550/arxiv.2606.19669 · pith_short_12: EQSWAHZOTSRE · pith_short_16: EQSWAHZOTSRE4JS4 · pith_short_8: EQSWAHZO

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/EQSWAHZOTSRE4JS4TSF7QXTLL2 \
  | 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: 2425601f2e9ca24e265c9c8bf85e6b5ea2078a95d354fc84aeb4ff4d51fd5392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538c7bde9309b8d1523c5580246809e51121d8a9506d7d0059fdf421030b9dd6",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-18T00:44:07Z",
    "title_canon_sha256": "f574d0dadb2f405140ac1591a33ecf1796bf344b89fa6ee4bafd1797f04db325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19669",
    "kind": "arxiv",
    "version": 1
  }
}