Pith Number

pith:HBN5NTHQ

pith:2016:HBN5NTHQB4VSI5ZGSMZBFB4ERA

not attested not anchored not stored refs pending

Separability of Lyapunov Functions for Contractive Monotone Systems

Samuel Coogan

arxiv:1609.06258 v1 · 2016-09-20 · 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{HBN5NTHQB4VSI5ZGSMZBFB4ERA}

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	2026-05-18T01:04:16.327508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385bd6ccf00f2b247726933212878488212ca84f75e9e8695479d9960f9e8c8a

Aliases

arxiv: 1609.06258 · arxiv_version: 1609.06258v1 · doi: 10.48550/arxiv.1609.06258 · pith_short_12: HBN5NTHQB4VS · pith_short_16: HBN5NTHQB4VSI5ZG · pith_short_8: HBN5NTHQ

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/HBN5NTHQB4VSI5ZGSMZBFB4ERA \
  | 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: 385bd6ccf00f2b247726933212878488212ca84f75e9e8695479d9960f9e8c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0a45cead2ea3b9ef03a413f05839980e15b3fc5bd21d28377b4973579585a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2016-09-20T17:16:57Z",
    "title_canon_sha256": "5b5af3052360f8d5f6d0b449405540a85894970ae703d159724a412d49c84103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06258",
    "kind": "arxiv",
    "version": 1
  }
}