Pith Number

pith:4TNAGACI

pith:2021:4TNAGACIJKV2KUI2PCUR2FMRHX

not attested not anchored not stored refs pending

Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Alban Desmaison, Alessandro De Palma, Krishnamurthy Dvijotham, M. Pawan Kumar, Philip H.S. Torr, Pushmeet Kohli, Rudy Bunel

arxiv:2104.06718 v1 · 2021-04-14 · cs.LG · cs.LO · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TNAGACIJKV2KUI2PCUR2FMRHX}

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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

2 papers in Pith

Robustness Verification of Recurrent Neural Networks with Abstraction Refinement

Faster Verified Explanations for Neural Networks

Receipt and verification

First computed	2026-07-05T02:32:08.731520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4da0300484aaba5511a78a91d15913dc4fb5ee381ab9f3beae57d3092b64c99

Aliases

arxiv: 2104.06718 · arxiv_version: 2104.06718v1 · doi: 10.48550/arxiv.2104.06718 · pith_short_12: 4TNAGACIJKV2 · pith_short_16: 4TNAGACIJKV2KUI2 · pith_short_8: 4TNAGACI

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/4TNAGACIJKV2KUI2PCUR2FMRHX \
  | 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: e4da0300484aaba5511a78a91d15913dc4fb5ee381ab9f3beae57d3092b64c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b50a6e43d6dde4a90de5f1344b9be52fc0b21c2c0795fb82d8d4b9298cfdb4f",
    "cross_cats_sorted": [
      "cs.LO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-04-14T09:22:42Z",
    "title_canon_sha256": "83b1e62fe5c37669a13f4c6568add8405fae6aa61792338230691f643186968b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.06718",
    "kind": "arxiv",
    "version": 1
  }
}