Pith Number

pith:IV4TXW5Q

pith:2012:IV4TXW5Q5CSMCLZQIDCSXZZK57

not attested not anchored not stored refs pending

Asymptotic stability implies the existence of a local polynomial Lyapunov function

J. Kloos, M. Rungger, R. Majumdar

arxiv:1201.3311 v3 · 2012-01-16 · 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{IV4TXW5Q5CSMCLZQIDCSXZZK57}

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	2026-05-18T04:04:07.675020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45793bdbb0e8a4c12f3040c52be72aeffdb61c0c636d121c1e5b00f977d6773b

Aliases

arxiv: 1201.3311 · arxiv_version: 1201.3311v3 · doi: 10.48550/arxiv.1201.3311 · pith_short_12: IV4TXW5Q5CSM · pith_short_16: IV4TXW5Q5CSMCLZQ · pith_short_8: IV4TXW5Q

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/IV4TXW5Q5CSMCLZQIDCSXZZK57 \
  | 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: 45793bdbb0e8a4c12f3040c52be72aeffdb61c0c636d121c1e5b00f977d6773b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c72f4635ddfa431cecad1f911105f36d9a5db7484283b1b577a8d124e8252e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-01-16T16:42:13Z",
    "title_canon_sha256": "36602ab043c09c44a8131e9728ab14dca617e4b55e07d96955da0322f41055c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3311",
    "kind": "arxiv",
    "version": 3
  }
}