Pith Number

pith:AU2ZUXI2

pith:2020:AU2ZUXI27M67BX77HHUTUK2GTO

not attested not anchored not stored refs pending

Learning Control Barrier Functions with High Relative Degree for Safety-Critical Control

Chuanzheng Wang, Jun Liu, Stephen L. Smith, Yiming Meng, Yinan Li

arxiv:2011.10721 v1 · 2020-11-21 · eess.SY · cs.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{AU2ZUXI27M67BX77HHUTUK2GTO}

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	2026-07-05T01:53:25.117869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05359a5d1afb3df0dfff39e93a2b469b84079b155b64a169ae22628402d7eed1

Aliases

arxiv: 2011.10721 · arxiv_version: 2011.10721v1 · doi: 10.48550/arxiv.2011.10721 · pith_short_12: AU2ZUXI27M67 · pith_short_16: AU2ZUXI27M67BX77 · pith_short_8: AU2ZUXI2

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/AU2ZUXI27M67BX77HHUTUK2GTO \
  | 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: 05359a5d1afb3df0dfff39e93a2b469b84079b155b64a169ae22628402d7eed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b208275ab25918a8ce2344a2b69858f8795aa6aa62a04d9023ca45746b7339a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2020-11-21T05:01:12Z",
    "title_canon_sha256": "b1c192178a608221445db84c1b670a7b27c79d8df3cbb68deee7baff1337f099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10721",
    "kind": "arxiv",
    "version": 1
  }
}