Pith Number

pith:JAAVTJUR

pith:2010:JAAVTJURLW7NMD5VEIQMQOABTF

not attested not anchored not stored refs pending

Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces

Falk Hante (IECN, Inria Lorraine / Iecn / Mmas), Mario Sigalotti (IECN

arxiv:1006.1749 v3 · 2010-06-09 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAAVTJURLW7NMD5VEIQMQOABTF}

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	2026-05-18T03:40:14.681816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480159a6915dbed60fb52220c83801996627b425c4b51cf98f7a107759e1525b

Aliases

arxiv: 1006.1749 · arxiv_version: 1006.1749v3 · doi: 10.48550/arxiv.1006.1749 · pith_short_12: JAAVTJURLW7N · pith_short_16: JAAVTJURLW7NMD5V · pith_short_8: JAAVTJUR

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/JAAVTJURLW7NMD5VEIQMQOABTF \
  | 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: 480159a6915dbed60fb52220c83801996627b425c4b51cf98f7a107759e1525b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c093661a2e919a99b029257200a210263851fe66d1bd0699c7476c2a5370637",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-09T09:10:57Z",
    "title_canon_sha256": "61004db743e837bcdc60e345dc791460813993db1b2b901227b8b21ac8f86113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1749",
    "kind": "arxiv",
    "version": 3
  }
}