Pith Number

pith:M6C2N5IE

pith:2018:M6C2N5IETMPWOTKWU53IPKHIBT

not attested not anchored not stored refs pending

Almost Lyapunov Functions for Nonlinear Systems

Daniel Liberzon, Shenyu Liu, Vadim Zharnitsky

arxiv:1812.04474 v1 · 2018-12-11 · 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{M6C2N5IETMPWOTKWU53IPKHIBT}

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	2026-05-17T23:58:31.960083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6785a6f5049b1f674d56a77687a8e80cfd5d4ca13755104063c273ff3810ccc4

Aliases

arxiv: 1812.04474 · arxiv_version: 1812.04474v1 · doi: 10.48550/arxiv.1812.04474 · pith_short_12: M6C2N5IETMPW · pith_short_16: M6C2N5IETMPWOTKW · pith_short_8: M6C2N5IE

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/M6C2N5IETMPWOTKWU53IPKHIBT \
  | 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: 6785a6f5049b1f674d56a77687a8e80cfd5d4ca13755104063c273ff3810ccc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e565419cee847eca019a40db8bd37cdd884f15ed0dab0053e4b6957df40d8c48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-11T15:42:20Z",
    "title_canon_sha256": "31b1bcbfcf0bd03d4448b46e703f3e8f2c847ea1b0a148a91f087315755c29c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04474",
    "kind": "arxiv",
    "version": 1
  }
}