Pith Number

pith:I6MXIREX

pith:2026:I6MXIREXZOXOWSCGHDXF7V2K3V

not attested not anchored not stored refs pending

Verification Framework for the Union of Control Barrier Functions

Andrew Clark, Chuanrui Jiang

arxiv:2606.07892 v1 · 2026-06-05 · 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{I6MXIREXZOXOWSCGHDXF7V2K3V}

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	2026-06-09T01:04:54.693544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4799744497cbaeeb484638ee5fd74add6cd5545269d5f344cb390c710e689721

Aliases

arxiv: 2606.07892 · arxiv_version: 2606.07892v1 · doi: 10.48550/arxiv.2606.07892 · pith_short_12: I6MXIREXZOXO · pith_short_16: I6MXIREXZOXOWSCG · pith_short_8: I6MXIREX

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/I6MXIREXZOXOWSCGHDXF7V2K3V \
  | 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: 4799744497cbaeeb484638ee5fd74add6cd5545269d5f344cb390c710e689721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a553ebef6b6023066a512034862bad4e4cd4a610d4f90731895306187320c87",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-05T22:59:46Z",
    "title_canon_sha256": "c89514720b0f51b8856acfdcb196863aa4e87f15d5114dfc3e228ca03a1a4869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07892",
    "kind": "arxiv",
    "version": 1
  }
}