Pith Number

pith:GCUFF66Z

pith:2012:GCUFF66ZJZNQYZTKKWMEE7WSZD

not attested not anchored not stored refs pending

Transverse Contraction Criteria for Existence, Stability, and Robustness of a Limit Cycle

Ian R. Manchester, Jean-Jacques E. Slotine

arxiv:1209.4433 v2 · 2012-09-20 · math.OC · cs.RO · 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{GCUFF66ZJZNQYZTKKWMEE7WSZD}

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	2026-05-18T03:30:27.872751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a852fbd94e5b0c666a5598427ed2c8ff574602898715d2e7ae36c796595802

Aliases

arxiv: 1209.4433 · arxiv_version: 1209.4433v2 · doi: 10.48550/arxiv.1209.4433 · pith_short_12: GCUFF66ZJZNQ · pith_short_16: GCUFF66ZJZNQYZTK · pith_short_8: GCUFF66Z

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/GCUFF66ZJZNQYZTKKWMEE7WSZD \
  | 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: 30a852fbd94e5b0c666a5598427ed2c8ff574602898715d2e7ae36c796595802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432ca53679ff989f8b5158c0e3d916affb08a4e3b13e7806d2165c10372e883a",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-20T05:44:02Z",
    "title_canon_sha256": "18ba0627c60e62cdb23e00f55f790cd7b53624e43541c729f501f6c07e303cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4433",
    "kind": "arxiv",
    "version": 2
  }
}