Pith Number

pith:SR6E5GZO

pith:2020:SR6E5GZOEWZXQS73BJI5XDRUG3

not attested not anchored not stored refs pending

Smooth Converse Lyapunov-Barrier Theorems for Asymptotic Stability with Safety Constraints and Reach-Avoid-Stay Specifications

Jun Liu, Maxwell Fitzsimmons, Yiming Meng, Yinan Li

arxiv:2009.04432 v2 · 2020-09-09 · eess.SY · cs.SY · 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{SR6E5GZOEWZXQS73BJI5XDRUG3}

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	2026-07-05T03:44:27.797400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947c4e9b2e25b3784bfb0a51db8e3436dcf38026562bcfaf34a5f282aa87b841

Aliases

arxiv: 2009.04432 · arxiv_version: 2009.04432v2 · doi: 10.48550/arxiv.2009.04432 · pith_short_12: SR6E5GZOEWZX · pith_short_16: SR6E5GZOEWZXQS73 · pith_short_8: SR6E5GZO

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/SR6E5GZOEWZXQS73BJI5XDRUG3 \
  | 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: 947c4e9b2e25b3784bfb0a51db8e3436dcf38026562bcfaf34a5f282aa87b841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57ded76a8c066a2c787a082a6dccf58098c73065a586af36df6b770328388c4",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2020-09-09T17:27:39Z",
    "title_canon_sha256": "fc559c6697a9a4da167886fb8882dbdd23399487e025bb9cc84d1a94b08ff14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.04432",
    "kind": "arxiv",
    "version": 2
  }
}