Pith Number

pith:U3NFTCXT

pith:2018:U3NFTCXTR7LAAE7Z6TWVIZM3PM

not attested not anchored not stored refs pending

Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability

Andrii Mironchenko, Fabian Wirth

arxiv:1806.02779 v2 · 2018-06-07 · math.OC · math.AP · 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{U3NFTCXTR7LAAE7Z6TWVIZM3PM}

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	2026-05-18T00:13:09.898970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6da598af38fd60013f9f4ed54659b7b29381cd91ea4ecc8331c50f633ff9a68

Aliases

arxiv: 1806.02779 · arxiv_version: 1806.02779v2 · doi: 10.48550/arxiv.1806.02779 · pith_short_12: U3NFTCXTR7LA · pith_short_16: U3NFTCXTR7LAAE7Z · pith_short_8: U3NFTCXT

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/U3NFTCXTR7LAAE7Z6TWVIZM3PM \
  | 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: a6da598af38fd60013f9f4ed54659b7b29381cd91ea4ecc8331c50f633ff9a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415b52174114b51aae6b206711a9eae7c19b52ad54052e6bb8e36c22ba3eadfa",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-07T16:50:45Z",
    "title_canon_sha256": "03c36ce4f1913ea33e6cc7ae14e29cc908566f31bdfe9aa5400797b3528d027e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02779",
    "kind": "arxiv",
    "version": 2
  }
}