Pith Number

pith:H733URQP

pith:2012:H733URQPC32HHFOQ3OCRKR34PG

not attested not anchored not stored refs pending

Discrete conditions of Lyapunov stability

Eugene Polulyakh, Igor Vlasenko, Vladimir Sharko

arxiv:1209.6552 v3 · 2012-09-28 · math.CA · 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{H733URQPC32HHFOQ3OCRKR34PG}

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	2026-05-18T03:41:28.914412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff7ba460f16f47395d0db8515477c79a83327d9f724286e1c8718f42afc0ccd

Aliases

arxiv: 1209.6552 · arxiv_version: 1209.6552v3 · doi: 10.48550/arxiv.1209.6552 · pith_short_12: H733URQPC32H · pith_short_16: H733URQPC32HHFOQ · pith_short_8: H733URQP

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/H733URQPC32HHFOQ3OCRKR34PG \
  | 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: 3ff7ba460f16f47395d0db8515477c79a83327d9f724286e1c8718f42afc0ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df88a2e9d34723eaee36280406b80fbac5027ae2726fd8d8b15833ed6caa1ab",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-28T15:55:40Z",
    "title_canon_sha256": "9a6119c4751cc20625f56ee6075c04ca556cbf6ae2e3bdd92c47e67cfbdafc77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6552",
    "kind": "arxiv",
    "version": 3
  }
}