Pith Number

pith:YIAZ7SD3

pith:2011:YIAZ7SD3UXEBERQZNFUXO3UWKG

not attested not anchored not stored refs pending

Optimization of Lyapunov Invariants in Verification of Software Systems

Alexandre Megretski, Eric Feron, Mardavij Roozbehani

arxiv:1108.0170 v1 · 2011-07-31 · 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{YIAZ7SD3UXEBERQZNFUXO3UWKG}

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	2026-05-18T04:16:31.572199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2019fc87ba5c81246196969776e9651817c214c6704aeacd1f62c2b2810e2a7

Aliases

arxiv: 1108.0170 · arxiv_version: 1108.0170v1 · doi: 10.48550/arxiv.1108.0170 · pith_short_12: YIAZ7SD3UXEB · pith_short_16: YIAZ7SD3UXEBERQZ · pith_short_8: YIAZ7SD3

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/YIAZ7SD3UXEBERQZNFUXO3UWKG \
  | 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: c2019fc87ba5c81246196969776e9651817c214c6704aeacd1f62c2b2810e2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856d06c7d050760474f0780af3e28b60280fea31e8c3e3ac324a27cc4d5d9355",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-07-31T12:51:13Z",
    "title_canon_sha256": "cbabf19e2a85feef5b486e621e81428f39beb39e8fe9cc6b9dbd035d44a7b311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0170",
    "kind": "arxiv",
    "version": 1
  }
}