Pith Number

pith:4VNKH5B5

pith:2018:4VNKH5B5E6ODNEKNTWJKDBF6QP

not attested not anchored not stored refs pending

Lyapunov Theory for Discrete Time Systems

Luca Schenato, Nicoletta Bof, Ruggero Carli

arxiv:1809.05289 v1 · 2018-09-14 · 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{4VNKH5B5E6ODNEKNTWJKDBF6QP}

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.

Cited by

2 papers in Pith

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Finite-Step Invariant Sets for Hybrid Systems with Probabilistic Guarantees

Receipt and verification

First computed	2026-05-18T00:05:44.094540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55aa3f43d279c36914d9d92a184be83d97bcc022454da63484d2ed485a2bd89

Aliases

arxiv: 1809.05289 · arxiv_version: 1809.05289v1 · doi: 10.48550/arxiv.1809.05289 · pith_short_12: 4VNKH5B5E6OD · pith_short_16: 4VNKH5B5E6ODNEKN · pith_short_8: 4VNKH5B5

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/4VNKH5B5E6ODNEKNTWJKDBF6QP \
  | 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: e55aa3f43d279c36914d9d92a184be83d97bcc022454da63484d2ed485a2bd89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8e87b2417a891b0a0d905dd25cd6bf467bcb3db1b80df25947f4ecf341d2f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-14T07:52:37Z",
    "title_canon_sha256": "2519296a6273c7cc4fa461880f57794e32f37246e7d00d5631b58d310c81c821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05289",
    "kind": "arxiv",
    "version": 1
  }
}