Pith Number

pith:ESSMKMQO

pith:2015:ESSMKMQOKXXG3DQUNEU2KFB652

not attested not anchored not stored refs pending

Lyapunov-based sufficient conditions for stability of hybrid systems with memory

Andrew R. Teel, Jun Liu

arxiv:1507.05648 v1 · 2015-07-20 · math.DS · 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{ESSMKMQOKXXG3DQUNEU2KFB652}

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	2026-05-18T01:36:32.832413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24a4c5320e55ee6d8e146929a5143eeeb4174e28d4abf13d1c985138ba69231a

Aliases

arxiv: 1507.05648 · arxiv_version: 1507.05648v1 · doi: 10.48550/arxiv.1507.05648 · pith_short_12: ESSMKMQOKXXG · pith_short_16: ESSMKMQOKXXG3DQU · pith_short_8: ESSMKMQO

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/ESSMKMQOKXXG3DQUNEU2KFB652 \
  | 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: 24a4c5320e55ee6d8e146929a5143eeeb4174e28d4abf13d1c985138ba69231a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f884ff1973e1e864b8e900bf3c0c7ecdb146fa005fc54af0c8b8f331bed5c5d3",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-20T20:48:40Z",
    "title_canon_sha256": "91be41a58ba1eb57abb11d5b6a61352e54604a7cabd5c22539fd2da08ff02894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05648",
    "kind": "arxiv",
    "version": 1
  }
}