Pith Number

pith:SF46W7XB

pith:2010:SF46W7XBQVBJI5E46HXXKUNVGY

not attested not anchored not stored refs pending

Computation of Polytopic Invariants for Polynomial Dynamical Systems using Linear Programming

Antoine Girard, Mohamed Amin Ben Sassi

arxiv:1012.1256 v3 · 2010-12-06 · math.OC · cs.SY · 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{SF46W7XBQVBJI5E46HXXKUNVGY}

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	2026-05-18T02:23:15.199854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9179eb7ee1854294749cf1ef7551b53622558c841ca11f3b53cf68e8d6ead3c6

Aliases

arxiv: 1012.1256 · arxiv_version: 1012.1256v3 · doi: 10.48550/arxiv.1012.1256 · pith_short_12: SF46W7XBQVBJ · pith_short_16: SF46W7XBQVBJI5E4 · pith_short_8: SF46W7XB

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/SF46W7XBQVBJI5E46HXXKUNVGY \
  | 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: 9179eb7ee1854294749cf1ef7551b53622558c841ca11f3b53cf68e8d6ead3c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222adf4ffa36445d3da7a06941888e0f06183bd8a794581eb66a35858f26b170",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-06T17:47:49Z",
    "title_canon_sha256": "717a7e2f2a849a1f2620baa483e0f3c209087e29d16ace7ac6fff5f919ecad63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1256",
    "kind": "arxiv",
    "version": 3
  }
}