Pith Number

pith:GAVOMX3I

pith:2009:GAVOMX3I5YBKGIT2IH63QIEIXU

not attested not anchored not stored refs pending

Small gain theorems for large scale systems and construction of ISS Lyapunov functions

Bj\"orn S. R\"uffer, Fabian R. Wirth, Sergey N. Dashkovskiy

arxiv:0901.1842 v2 · 2009-01-13 · 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{GAVOMX3I5YBKGIT2IH63QIEIXU}

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	2026-05-18T04:41:06.029536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

302ae65f68ee02a3227a41fdb82088bd12bfb35b5abe6b95a76f44b964befb4a

Aliases

arxiv: 0901.1842 · arxiv_version: 0901.1842v2 · doi: 10.48550/arxiv.0901.1842 · pith_short_12: GAVOMX3I5YBK · pith_short_16: GAVOMX3I5YBKGIT2 · pith_short_8: GAVOMX3I

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/GAVOMX3I5YBKGIT2IH63QIEIXU \
  | 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: 302ae65f68ee02a3227a41fdb82088bd12bfb35b5abe6b95a76f44b964befb4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67db22a465e4ff635209205d3917ceab3b53c58c0145e1698d066d711b2251a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-01-13T17:49:42Z",
    "title_canon_sha256": "fc6885b3b49f4e272a9b3f0cbeb46afad0fcd60ac35957ccf2e25fd18aa42632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1842",
    "kind": "arxiv",
    "version": 2
  }
}