Pith Number

pith:WUXK7DUI

pith:2023:WUXK7DUIB3WOS6H2ZHVTUK63ZP

not attested not anchored not stored refs pending

Harmonic Control Lyapunov Barrier Functions for Constrained Optimal Control with Reach-Avoid Specifications

Amartya Mukherjee, Haocheng Chang, Jun Liu, Ruikun Zhou

arxiv:2310.02869 v2 · 2023-10-04 · math.OC · cs.LG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUXK7DUIB3WOS6H2ZHVTUK63ZP}

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	2026-07-05T08:00:36.676988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52eaf8e880eece978fac9eb3a2bdbcbdec74dec4b4849c2ca867510b14706ae

Aliases

arxiv: 2310.02869 · arxiv_version: 2310.02869v2 · doi: 10.48550/arxiv.2310.02869 · pith_short_12: WUXK7DUIB3WO · pith_short_16: WUXK7DUIB3WOS6H2 · pith_short_8: WUXK7DUI

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/WUXK7DUIB3WOS6H2ZHVTUK63ZP \
  | 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: b52eaf8e880eece978fac9eb3a2bdbcbdec74dec4b4849c2ca867510b14706ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11daaca6283c700c6bbca868309b7a70c5b3923e9955b01b284ab371dbaf51c2",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-10-04T15:03:56Z",
    "title_canon_sha256": "a534be4e8825d66aff5da4449c761fa2c616135bee41aec2618854c0294e00b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02869",
    "kind": "arxiv",
    "version": 2
  }
}