Pith Number

pith:56LKTCHG

pith:2026:56LKTCHGN2UWXUT2IAZFJ6ATYO

not attested not anchored not stored refs pending

Stochastic Stability of Nonlinear MPPI via Contraction Theory and Control Lyapunov Functions

Hunmin Kim, Hyung-Jin Yoon

arxiv:2607.06945 v1 · 2026-07-08 · eess.SY · 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{56LKTCHGN2UWXUT2IAZFJ6ATYO}

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	2026-07-09T00:19:40.828203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef96a988e66ea96bd27a403254f813c39b8aec0cf82ce024a01cb5438d5d23ac

Aliases

arxiv: 2607.06945 · arxiv_version: 2607.06945v1 · doi: 10.48550/arxiv.2607.06945 · pith_short_12: 56LKTCHGN2UW · pith_short_16: 56LKTCHGN2UWXUT2 · pith_short_8: 56LKTCHG

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/56LKTCHGN2UWXUT2IAZFJ6ATYO \
  | 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: ef96a988e66ea96bd27a403254f813c39b8aec0cf82ce024a01cb5438d5d23ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a71e237a4532856eacf63dcb160571604f4d3348036159e5ded45ec689757b3",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-07-08T03:14:19Z",
    "title_canon_sha256": "aa9abced8584e3237f943d96b4036bb4addfa1ef90aabde0f47debb8ce42d81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06945",
    "kind": "arxiv",
    "version": 1
  }
}