Pith Number

pith:YPUTI3XZ

pith:2016:YPUTI3XZ5VF6KFIIUCYZHH3MUU

not attested not anchored not stored refs pending

A Characterization of Lyapunov Inequalities for Stability of Switched Systems

Amirali Ahmadi, Mardavij Roozbehani, Pablo Parrilo, Raphael M. Jungers

arxiv:1608.08311 v1 · 2016-08-30 · 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{YPUTI3XZ5VF6KFIIUCYZHH3MUU}

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	2026-05-18T00:25:21.316544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e9346ef9ed4be51508a0b1939f6ca51c5dbed5e57cc2d9bf2806cd2839d052

Aliases

arxiv: 1608.08311 · arxiv_version: 1608.08311v1 · doi: 10.48550/arxiv.1608.08311 · pith_short_12: YPUTI3XZ5VF6 · pith_short_16: YPUTI3XZ5VF6KFII · pith_short_8: YPUTI3XZ

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/YPUTI3XZ5VF6KFIIUCYZHH3MUU \
  | 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: c3e9346ef9ed4be51508a0b1939f6ca51c5dbed5e57cc2d9bf2806cd2839d052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f4a47173d20e432c343390f8f4328b769ccdbdf6f39c7ef77b3b250d9b8219b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-30T03:20:49Z",
    "title_canon_sha256": "7d6caf92229216adabe1957a8dd7b3be14c7cdea3776d4c92fb9bdb927aad7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08311",
    "kind": "arxiv",
    "version": 1
  }
}