Pith Number

pith:7Z2V7ELV

pith:2025:7Z2V7ELV34HDXPNQL55E2JRKMA

not attested not anchored not stored refs pending

Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions

Masoumeh Ghanbarpour, Sriram Sankaranarayanan

arxiv:2508.20204 v1 · 2025-08-27 · math.OC · cs.SY · eess.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{7Z2V7ELV34HDXPNQL55E2JRKMA}

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	2026-07-05T12:00:31.236511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe755f9175df0e3bbdb05f7a4d262a602a72dbdefa9480ba4447eb7de13e31fb

Aliases

arxiv: 2508.20204 · arxiv_version: 2508.20204v1 · doi: 10.48550/arxiv.2508.20204 · pith_short_12: 7Z2V7ELV34HD · pith_short_16: 7Z2V7ELV34HDXPNQ · pith_short_8: 7Z2V7ELV

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/7Z2V7ELV34HDXPNQL55E2JRKMA \
  | 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: fe755f9175df0e3bbdb05f7a4d262a602a72dbdefa9480ba4447eb7de13e31fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949b83aa0d21ba20fc859d5b76d852aae40d4f6e5f875f4d6123c081486d3a8a",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-27T18:31:21Z",
    "title_canon_sha256": "9dade49c37ea9874704a7938711774c55f3312e9bf1d7f8e621f1d0080616c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20204",
    "kind": "arxiv",
    "version": 1
  }
}