Pith Number

pith:LKLKVXVU

pith:2014:LKLKVXVUHGPG2L7YAS2K2IYGOM

not attested not anchored not stored refs pending

Converse Lyapunov theorems for discrete-time linear switching systems with regular switching sequences

Matthew Philippe, Rapha\"el M. Jungers

arxiv:1410.7197 v3 · 2014-10-27 · 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{LKLKVXVUHGPG2L7YAS2K2IYGOM}

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	2026-05-18T02:37:37.977257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a96aadeb4399e6d2ff804b4ad23067326f977f813ba4b6bdf4927d255461d75

Aliases

arxiv: 1410.7197 · arxiv_version: 1410.7197v3 · doi: 10.48550/arxiv.1410.7197 · pith_short_12: LKLKVXVUHGPG · pith_short_16: LKLKVXVUHGPG2L7Y · pith_short_8: LKLKVXVU

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/LKLKVXVUHGPG2L7YAS2K2IYGOM \
  | 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: 5a96aadeb4399e6d2ff804b4ad23067326f977f813ba4b6bdf4927d255461d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "187130b93a48898819fb52ee307ad0d79cf38e7548023ec326867b38a1531be1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-10-27T12:07:43Z",
    "title_canon_sha256": "91a546de7cb51f64207043b2d1ac95e3863a7d5a9baf15fa45b66535028f161f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7197",
    "kind": "arxiv",
    "version": 3
  }
}