Pith Number

pith:66JQ3MSD

pith:2022:66JQ3MSDQ5ZGYWTQVYPOGW7XG3

not attested not anchored not stored refs pending

Learning with Combinatorial Optimization Layers: a Probabilistic Approach

Axel Parmentier, Guillaume Dalle, L\'eo Baty, Louis Bouvier

arxiv:2207.13513 v2 · 2022-07-27 · stat.ML · 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{66JQ3MSDQ5ZGYWTQVYPOGW7XG3}

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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

Regularized Large Neighborhood Search

Generalization Bounds of Surrogate Policies for Combinatorial Optimization Problems

Receipt and verification

First computed	2026-07-05T05:22:09.488086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7930db24387726c5a70ae1ee35bf736cc71cd4fd32a49c24409464c2afebceb

Aliases

arxiv: 2207.13513 · arxiv_version: 2207.13513v2 · doi: 10.48550/arxiv.2207.13513 · pith_short_12: 66JQ3MSDQ5ZG · pith_short_16: 66JQ3MSDQ5ZGYWTQ · pith_short_8: 66JQ3MSD

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/66JQ3MSDQ5ZGYWTQVYPOGW7XG3 \
  | 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: f7930db24387726c5a70ae1ee35bf736cc71cd4fd32a49c24409464c2afebceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88444a1c4ecd22bc256bc0ca600007c97bcd4663c781b6b6d55493a78317ed21",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-07-27T13:37:22Z",
    "title_canon_sha256": "2ed6d15aa46bcf20ad0018a50e714f65da30959959d00698d55cd1b1dac52725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.13513",
    "kind": "arxiv",
    "version": 2
  }
}