Pith Number

pith:S354SU3R

pith:2009:S354SU3R3E7DGIQAAZZ75RNCXE

not attested not anchored not stored refs pending

Lyapunov-like Conditions of Forward Invariance and Boundedness for a Class of Unstable Systems

A. Gorban, E. Steur, H. Nijmeijer, I. Tyukin

arxiv:0901.3577 v6 · 2009-01-22 · math.DS · 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{S354SU3R3E7DGIQAAZZ75RNCXE}

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	2026-05-18T03:21:20.939717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96fbc95371d93e3322000673fec5a2b924dad8642fd7651218e05e40ba0ac273

Aliases

arxiv: 0901.3577 · arxiv_version: 0901.3577v6 · doi: 10.48550/arxiv.0901.3577 · pith_short_12: S354SU3R3E7D · pith_short_16: S354SU3R3E7DGIQA · pith_short_8: S354SU3R

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/S354SU3R3E7DGIQAAZZ75RNCXE \
  | 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: 96fbc95371d93e3322000673fec5a2b924dad8642fd7651218e05e40ba0ac273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c63ef56c3ac6e936e81d9bacb3e53df086e3d146f741e8121ff0c68d930483",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-01-22T23:15:40Z",
    "title_canon_sha256": "24f04ef304b0c1cf4f4df7846c57eff1849c068889d5eb137f34ae3b889e646a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3577",
    "kind": "arxiv",
    "version": 6
  }
}