Pith Number

pith:OQF3FKK2

pith:2018:OQF3FKK2F3UFCLZG2UKBTTHCYX

not attested not anchored not stored refs pending

Strong mixed-integer programming formulations for trained neural networks

Christian Tjandraatmadja, Joey Huchette, Juan Pablo Vielma, Ross Anderson

arxiv:1811.08359 v2 · 2018-11-20 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQF3FKK2F3UFCLZG2UKBTTHCYX}

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	2026-05-17T23:52:21.726568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740bb2a95a2ee8512f26d51419cce2c5e62f3bcf2bd2e50e03cd52d267fbd3af

Aliases

arxiv: 1811.08359 · arxiv_version: 1811.08359v2 · doi: 10.48550/arxiv.1811.08359 · pith_short_12: OQF3FKK2F3UF · pith_short_16: OQF3FKK2F3UFCLZG · pith_short_8: OQF3FKK2

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/OQF3FKK2F3UFCLZG2UKBTTHCYX \
  | 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: 740bb2a95a2ee8512f26d51419cce2c5e62f3bcf2bd2e50e03cd52d267fbd3af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40627bdc64c25b650af0d4c5e8a5f6f8d43ffdfdad86322d733f4461b7ccae25",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-20T16:46:37Z",
    "title_canon_sha256": "4d3008a4e1c498726b12284bb4b7c6da2500096977434dacc95bf3eae7ad4c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08359",
    "kind": "arxiv",
    "version": 2
  }
}