Pith Number

pith:XVRNIN6J

pith:2023:XVRNIN6JNTB2IGUYGQE3BLQG7T

not attested not anchored not stored refs pending

A Compositional Approach to Certifying the Almost Global Asymptotic Stability of Cascade Systems

Jake Welde, Matthew D. Kvalheim, Vijay Kumar

arxiv:2303.15535 v4 · 2023-03-27 · math.OC · cs.RO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVRNIN6JNTB2IGUYGQE3BLQG7T}

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	2026-07-05T06:10:36.683521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd62d437c96cc3a41a983409b0ae06fccc6f0192e4102c365e3fa5a23424cf55

Aliases

arxiv: 2303.15535 · arxiv_version: 2303.15535v4 · doi: 10.48550/arxiv.2303.15535 · pith_short_12: XVRNIN6JNTB2 · pith_short_16: XVRNIN6JNTB2IGUY · pith_short_8: XVRNIN6J

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/XVRNIN6JNTB2IGUYGQE3BLQG7T \
  | 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: bd62d437c96cc3a41a983409b0ae06fccc6f0192e4102c365e3fa5a23424cf55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb08ff7985441f401f01a123ba4decdeb93ba9453d568986438c610a9ac0f47c",
    "cross_cats_sorted": [
      "cs.RO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-03-27T18:20:25Z",
    "title_canon_sha256": "821572f3d555e93af4b7ecba2a72d923df60dfe73853e5f96f5a261a2fef6f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.15535",
    "kind": "arxiv",
    "version": 4
  }
}