Pith Number

pith:SXRWANP4

pith:2011:SXRWANP4PDPSIO4OUHMNTPCG7Z

not attested not anchored not stored refs pending

Automatically Discovering Relaxed Lyapunov Functions for Polynomial Dynamical Systems

Hengjun Zhao, Jiang Liu, Naijun Zhan

arxiv:1103.3372 v1 · 2011-03-17 · math.DS · 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{SXRWANP4PDPSIO4OUHMNTPCG7Z}

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	2026-05-18T04:26:33.821895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e36035fc78df243b8ea1d8d9bc46fe6267833a17607a3fd26dc6c73a10b621

Aliases

arxiv: 1103.3372 · arxiv_version: 1103.3372v1 · doi: 10.48550/arxiv.1103.3372 · pith_short_12: SXRWANP4PDPS · pith_short_16: SXRWANP4PDPSIO4O · pith_short_8: SXRWANP4

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/SXRWANP4PDPSIO4OUHMNTPCG7Z \
  | 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: 95e36035fc78df243b8ea1d8d9bc46fe6267833a17607a3fd26dc6c73a10b621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "686ce218c0532b5ed8e66e9cbcd5cd728c5f055d2602229e9724b26d29b068bf",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-17T10:36:24Z",
    "title_canon_sha256": "094f6ddb975efda0ab9081d11d75cf60294ca552d3c044eea210ece7420f611c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3372",
    "kind": "arxiv",
    "version": 1
  }
}