Pith Number

pith:VD2VRQ4Y

pith:2026:VD2VRQ4YMMIWCL62DI6HNDP3MG

not attested not anchored not stored refs pending

Construction of Lyapunov density for nonautonomous dynamical systems on hypertorus

\"Ozkan Karabacak, Swapnil Tripathi

arxiv:2606.26846 v1 · 2026-06-25 · math.DS · cs.SY · eess.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{VD2VRQ4YMMIWCL62DI6HNDP3MG}

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	2026-06-26T01:16:01.507938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f558c3986311612fda1a3c768dfb61aa4a022f5502e6fc7c8b0e1492a52317

Aliases

arxiv: 2606.26846 · arxiv_version: 2606.26846v1 · doi: 10.48550/arxiv.2606.26846 · pith_short_12: VD2VRQ4YMMIW · pith_short_16: VD2VRQ4YMMIWCL62 · pith_short_8: VD2VRQ4Y

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/VD2VRQ4YMMIWCL62DI6HNDP3MG \
  | 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: a8f558c3986311612fda1a3c768dfb61aa4a022f5502e6fc7c8b0e1492a52317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19913a761e7160c5f1ab1781aea3761126cf30c0e51982e078c5bcf9db47b5b",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-25T10:33:23Z",
    "title_canon_sha256": "17978289c7d496154a1613188553b353efc7f9902f4d358abbaf5275a0744e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26846",
    "kind": "arxiv",
    "version": 1
  }
}