Pith Number

pith:7XPGLHFF

pith:2006:7XPGLHFFSVLQYSQ4U6W2WZUPMU

not attested not anchored not stored refs pending

Stability and Robustness Analysis of Nonlinear Systems via Contraction Metrics and SOS Programming

Erin M. Aylward, Jean-Jacques E. Slotine, Pablo A. Parrilo

arxiv:math/0603313 v1 · 2006-03-13 · math.OC · 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{7XPGLHFFSVLQYSQ4U6W2WZUPMU}

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	2026-07-04T15:38:31.560619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdde659ca595570c4a1ca7adab668f651960ff7bf1b67c2d3ab32a1499a0f9a1

Aliases

arxiv: math/0603313 · arxiv_version: math/0603313v1 · doi: 10.48550/arxiv.math/0603313 · pith_short_12: 7XPGLHFFSVLQ · pith_short_16: 7XPGLHFFSVLQYSQ4 · pith_short_8: 7XPGLHFF

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/7XPGLHFFSVLQYSQ4U6W2WZUPMU \
  | 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: fdde659ca595570c4a1ca7adab668f651960ff7bf1b67c2d3ab32a1499a0f9a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef44fa1ff13cdd5888f0a7233c112674164892e8621defc355b063f95b36f6b8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-03-13T23:06:02Z",
    "title_canon_sha256": "c95852ad90d8103b9318147a3f6f7fb19b1995271204374190c01ae94c264d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603313",
    "kind": "arxiv",
    "version": 1
  }
}