Pith Number

pith:DPH57IF5

pith:2025:DPH57IF5PF2KYWOTVQXJ3RJU4F

not attested not anchored not stored refs pending

On the Construction of Barrier Certificate: A Dynamic Programming Perspective

Shaoyuan Li, Xiang Yin, Yu Chen

arxiv:2507.17222 v1 · 2025-07-23 · 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{DPH57IF5PF2KYWOTVQXJ3RJU4F}

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.

Cited by

1 paper in Pith

Refined Barrier Conditions for Finite-Time Safety and Reach-Avoid Guarantees in Stochastic Systems

Receipt and verification

First computed	2026-07-05T11:42:03.884021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcfdfa0bd7974ac59d3ac2e9dc534e147287211cc07ed038c2b7f7ce6306e7c

Aliases

arxiv: 2507.17222 · arxiv_version: 2507.17222v1 · doi: 10.48550/arxiv.2507.17222 · pith_short_12: DPH57IF5PF2K · pith_short_16: DPH57IF5PF2KYWOT · pith_short_8: DPH57IF5

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/DPH57IF5PF2KYWOTVQXJ3RJU4F \
  | 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: 1bcfdfa0bd7974ac59d3ac2e9dc534e147287211cc07ed038c2b7f7ce6306e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ef44dd11745c2f0fc7d97f6098676b831e9e3cf6a28517d06fe18618438f03c",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2025-07-23T05:43:01Z",
    "title_canon_sha256": "3b2380f55c6fde3d5d47ed75025ec9618212080e2ad358f5bd69a87cf87e6071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17222",
    "kind": "arxiv",
    "version": 1
  }
}