Pith Number

pith:HLKDF3YF

pith:2010:HLKDF3YFPRIRUE4YQHIKBV25TW

not attested not anchored not stored refs pending

Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods

Andrii Mironchenko, Lars Naujok, Michael Kosmykov, Sergey Dashkovskiy

arxiv:1011.2865 v3 · 2010-11-12 · 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{HLKDF3YFPRIRUE4YQHIKBV25TW}

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	2026-05-18T04:01:49.788664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad432ef057c511a139881d0a0d75d9d8fa03145faf1a9242f417a9327c6ca32

Aliases

arxiv: 1011.2865 · arxiv_version: 1011.2865v3 · doi: 10.48550/arxiv.1011.2865 · pith_short_12: HLKDF3YFPRIR · pith_short_16: HLKDF3YFPRIRUE4Y · pith_short_8: HLKDF3YF

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/HLKDF3YFPRIRUE4YQHIKBV25TW \
  | 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: 3ad432ef057c511a139881d0a0d75d9d8fa03145faf1a9242f417a9327c6ca32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97e6bfd282caa867ee2803445d52ecaae55ca8c20e00d6ccb4f3ca8713b441e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-12T09:59:54Z",
    "title_canon_sha256": "925b4bfdce3a89e01dfbfcea04590cec025599eec44e03a127f053870591fe71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2865",
    "kind": "arxiv",
    "version": 3
  }
}