Pith Number

pith:THKP4BFG

pith:2021:THKP4BFG7YAVR2OH2HVK3433QN

not attested not anchored not stored refs pending

Stability Verification in Stochastic Control Systems via Neural Network Supermartingales

{\DJ}or{\dj}e \v{Z}ikeli\'c, Krishnendu Chatterjee, Mathias Lechner, Thomas A. Henzinger

arxiv:2112.09495 v1 · 2021-12-17 · cs.LG · 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{THKP4BFG7YAVR2OH2HVK3433QN}

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	2026-07-05T03:41:46.985157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99d4fe04a6fe0158e9c7d1eaadf37b83635c336bf569ae62ef30b477dd02f4df

Aliases

arxiv: 2112.09495 · arxiv_version: 2112.09495v1 · doi: 10.48550/arxiv.2112.09495 · pith_short_12: THKP4BFG7YAV · pith_short_16: THKP4BFG7YAVR2OH · pith_short_8: THKP4BFG

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/THKP4BFG7YAVR2OH2HVK3433QN \
  | 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: 99d4fe04a6fe0158e9c7d1eaadf37b83635c336bf569ae62ef30b477dd02f4df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f1d9d8bbe9d5a6fded01080fb04d8d11a878b91e9451a470e4760814b86eb2e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-17T13:05:14Z",
    "title_canon_sha256": "77004b60fb7b96cfc09c8ed425bd4f9d301827d3a0157c299a68ab3cd41e2cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09495",
    "kind": "arxiv",
    "version": 1
  }
}