Pith Number

pith:66ILVPXO

pith:2026:66ILVPXO35YLINI7L6I7SJOBHE

not attested not anchored not stored refs pending

Extremum seeking with exponential convergence via high-order Lie bracket approximations

Sameh A. Eisa, Victoria Grushkovskaya

arxiv:2605.23029 v1 · 2026-05-21 · 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{66ILVPXO35YLINI7L6I7SJOBHE}

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	2026-05-25T02:01:35.300014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f790babeeedf70b4351f5f91f925c139063f99980f94b1eb4269f085dfb5c2f0

Aliases

arxiv: 2605.23029 · arxiv_version: 2605.23029v1 · doi: 10.48550/arxiv.2605.23029 · pith_short_12: 66ILVPXO35YL · pith_short_16: 66ILVPXO35YLINI7 · pith_short_8: 66ILVPXO

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/66ILVPXO35YLINI7L6I7SJOBHE \
  | 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: f790babeeedf70b4351f5f91f925c139063f99980f94b1eb4269f085dfb5c2f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7401e9267ee78d2780d09220df869db62284645ab570cc5591c26b181eecafce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-21T20:51:05Z",
    "title_canon_sha256": "2851006d678c569c8f8610f57d7b701c15d007e1d82bc361362db739009630c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23029",
    "kind": "arxiv",
    "version": 1
  }
}