Pith Number

pith:CFZO24GD

pith:2017:CFZO24GDS7T2YKHIKDARHA6HW7

not attested not anchored not stored refs pending

Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces

Andrii Mironchenko, Fabian Wirth

arxiv:1708.07953 v1 · 2017-08-26 · math.OC · math.AP · 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{CFZO24GDS7T2YKHIKDARHA6HW7}

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	2026-05-18T00:36:37.531861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1172ed70c397e7ac28e850c11383c7b7d6bca10dc09b3aee03045421c89d9bba

Aliases

arxiv: 1708.07953 · arxiv_version: 1708.07953v1 · doi: 10.48550/arxiv.1708.07953 · pith_short_12: CFZO24GDS7T2 · pith_short_16: CFZO24GDS7T2YKHI · pith_short_8: CFZO24GD

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/CFZO24GDS7T2YKHIKDARHA6HW7 \
  | 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: 1172ed70c397e7ac28e850c11383c7b7d6bca10dc09b3aee03045421c89d9bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcff4a7b6d052a08fca17173c30bfd52c9eb7713f658cd552d5a6abda7dde7cd",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-26T09:12:30Z",
    "title_canon_sha256": "eabf9b16a9fde6e12a72cbad0825e7dfd97318d03118fcb04a7af20b8d2ac13b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07953",
    "kind": "arxiv",
    "version": 1
  }
}