Pith Number

pith:E3LAQCW7

pith:2017:E3LAQCW7EMTOPH4XZE5GFSKVIZ

not attested not anchored not stored refs pending

Sum of squares certificates for stability of planar, homogeneous, and switched systems

Amir Ali Ahmadi, Pablo A. Parrilo

arxiv:1801.00070 v1 · 2017-12-30 · math.OC · cs.SY · math.AG · 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{E3LAQCW7EMTOPH4XZE5GFSKVIZ}

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	2026-05-18T00:08:31.252394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26d6080adf2326e79f97c93a62c9554673c12b37c990d7ebf519f3085868438b

Aliases

arxiv: 1801.00070 · arxiv_version: 1801.00070v1 · doi: 10.48550/arxiv.1801.00070 · pith_short_12: E3LAQCW7EMTO · pith_short_16: E3LAQCW7EMTOPH4X · pith_short_8: E3LAQCW7

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/E3LAQCW7EMTOPH4XZE5GFSKVIZ \
  | 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: 26d6080adf2326e79f97c93a62c9554673c12b37c990d7ebf519f3085868438b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d69e5f754db22d20b8862e1b91baa536e5b36d028a56ddd2e6936240e48a55f",
    "cross_cats_sorted": [
      "cs.SY",
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-30T01:57:30Z",
    "title_canon_sha256": "f8db2d7b7ecd0f12957f14c34882507ba5e7b93a567e72a4c60cac3e1aef0826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00070",
    "kind": "arxiv",
    "version": 1
  }
}