Pith Number

pith:VG7WSPIN

pith:2026:VG7WSPIN7STDIVGT2TGZXJGSYT

not attested not anchored not stored refs pending

A Globally Asymptotically Stable Planar Homogeneous Polynomial Vector Field With No Polynomial Lyapunov Function

Jun Liu, Maxwell Fitzsimmons

arxiv:2607.16171 v1 · 2026-07-17 · math.DS · cs.SY · eess.SY · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VG7WSPIN7STDIVGT2TGZXJGSYT}

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	2026-07-20T02:19:37.471756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9bf693d0dfca63454d3d4cd9ba4d2c4cc22b3c1c57a2994918ddc39722d0aad

Aliases

arxiv: 2607.16171 · arxiv_version: 2607.16171v1 · doi: 10.48550/arxiv.2607.16171 · pith_short_12: VG7WSPIN7STD · pith_short_16: VG7WSPIN7STDIVGT · pith_short_8: VG7WSPIN

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/VG7WSPIN7STDIVGT2TGZXJGSYT \
  | 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: a9bf693d0dfca63454d3d4cd9ba4d2c4cc22b3c1c57a2994918ddc39722d0aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5650ac939c430679b4f78bbaf3f8d3b743b78c755fb05e1b3a227787b199842",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-17T17:50:02Z",
    "title_canon_sha256": "1e42a6f0fce3d22b1602b310d19e304d54ded59c44f31d9257715aee4aed7937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16171",
    "kind": "arxiv",
    "version": 1
  }
}