Pith Number

pith:U6NPZKY7

pith:2025:U6NPZKY7NO3YBAIQD6K7O7RSSA

not attested not anchored not stored refs pending

Improved Sum-of-Squares Stability Verification of Neural-Network-Based Controllers

Alvaro Detailleur, Christopher Onder, Guillaume Ducard

arxiv:2507.10352 v1 · 2025-07-14 · eess.SY · cs.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{U6NPZKY7NO3YBAIQD6K7O7RSSA}

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

Bridging Control with Neural Network Verifier alpha-beta-CROWN: A Tutorial

Receipt and verification

First computed	2026-07-05T11:36:50.002222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79afcab1f6bb78081101f95f77e329031979af998c053ac804ec4b23674ed84

Aliases

arxiv: 2507.10352 · arxiv_version: 2507.10352v1 · doi: 10.48550/arxiv.2507.10352 · pith_short_12: U6NPZKY7NO3Y · pith_short_16: U6NPZKY7NO3YBAIQ · pith_short_8: U6NPZKY7

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/U6NPZKY7NO3YBAIQD6K7O7RSSA \
  | 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: a79afcab1f6bb78081101f95f77e329031979af998c053ac804ec4b23674ed84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ac068f63fb087e5f5cb9896b348c055657ace4fb59669e6f310d36fc9085da",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-07-14T14:54:19Z",
    "title_canon_sha256": "24469848837ad1b6408f1d1bb6b8b060b0e05d6448de80154bea67bca8c0ccde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10352",
    "kind": "arxiv",
    "version": 1
  }
}