Pith Number

pith:KIRLPGLG

pith:2015:KIRLPGLGGRX243EDK4VWYZXLG2

not attested not anchored not stored refs pending

Lower Bounds on Complexity of Lyapunov Functions for Switched Linear Systems

Amir Ali Ahmadi, Raphael Jungers

arxiv:1504.03761 v1 · 2015-04-15 · math.OC · cs.CC · cs.SY · math.DS · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIRLPGLGGRX243EDK4VWYZXLG2}

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	2026-05-18T02:18:42.181204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5222b79966346fae6c83572b6c66eb36a8fc0236c9a512db770c1b25d7eacae4

Aliases

arxiv: 1504.03761 · arxiv_version: 1504.03761v1 · doi: 10.48550/arxiv.1504.03761 · pith_short_12: KIRLPGLGGRX2 · pith_short_16: KIRLPGLGGRX243ED · pith_short_8: KIRLPGLG

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/KIRLPGLGGRX243EDK4VWYZXLG2 \
  | 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: 5222b79966346fae6c83572b6c66eb36a8fc0236c9a512db770c1b25d7eacae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4bd22ec362ec24a0a96a8443fab8f39eca9a6fe0f560bb9c1741800a4df1d6a",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.SY",
      "math.DS",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-04-15T01:46:24Z",
    "title_canon_sha256": "6068bbe976c000b49b2f69939ac3b9ea096c8b746fa40e84568d227a06fa7bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03761",
    "kind": "arxiv",
    "version": 1
  }
}