Pith Number

pith:7UATZJEI

pith:2026:7UATZJEIKMTVA2RG53A5BTPHVH

not attested not anchored not stored refs pending

Periodic solutions of nonlinear control systems with switching: a Lie-algebraic and contraction approach

Alexander Zuyev, Peter Benner

arxiv:2603.20935 v2 · 2026-03-21 · 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{7UATZJEIKMTVA2RG53A5BTPHVH}

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	2026-06-04T01:09:48.644034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd013ca4885327506a26eec1d0cde7a9fed091a31b94183619b3f026ad05c1bd

Aliases

arxiv: 2603.20935 · arxiv_version: 2603.20935v2 · doi: 10.48550/arxiv.2603.20935 · pith_short_12: 7UATZJEIKMTV · pith_short_16: 7UATZJEIKMTVA2RG · pith_short_8: 7UATZJEI

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/7UATZJEIKMTVA2RG53A5BTPHVH \
  | 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: fd013ca4885327506a26eec1d0cde7a9fed091a31b94183619b3f026ad05c1bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85507247c60853c9787044241e0ed5cc081419c4d1e79317c4436cb7cfd35ab8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-03-21T20:30:32Z",
    "title_canon_sha256": "841dcd59decaebb4168af3aeec91b25cfb11d3457ae300e03be8897192aa546a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.20935",
    "kind": "arxiv",
    "version": 2
  }
}