Pith Number

pith:PGEOYJ4N

pith:2013:PGEOYJ4NOWZJNYB4ZDJOSSMD5V

not attested not anchored not stored refs pending

A note on norm-based Lyapunov functions via contraction analysis

Murat Arcak, Samuel Coogan

arxiv:1308.0586 v1 · 2013-07-30 · 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{PGEOYJ4NOWZJNYB4ZDJOSSMD5V}

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	2026-05-18T03:16:50.156959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7988ec278d75b296e03cc8d2e94983ed7b96635c46459623c8409bd6e382fd8a

Aliases

arxiv: 1308.0586 · arxiv_version: 1308.0586v1 · doi: 10.48550/arxiv.1308.0586 · pith_short_12: PGEOYJ4NOWZJ · pith_short_16: PGEOYJ4NOWZJNYB4 · pith_short_8: PGEOYJ4N

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/PGEOYJ4NOWZJNYB4ZDJOSSMD5V \
  | 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: 7988ec278d75b296e03cc8d2e94983ed7b96635c46459623c8409bd6e382fd8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56aab2137a8f4bcdea303bea2ee48e46b478e2caad9543b22b22034f646029cf",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-30T04:27:42Z",
    "title_canon_sha256": "a87fa472776987238e7b2a3fe24def22d5cb858169625c0a559a3b273e0714be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0586",
    "kind": "arxiv",
    "version": 1
  }
}