Pith Number

pith:WSF6OKOW

pith:2026:WSF6OKOWUDD2PBJGMHESJNNIXT

not attested not anchored not stored refs pending

Learning to Optimize at Scale: A Benders Decomposition-TransfORmers Framework for Stochastic Combinatorial Optimization

Esra Buyuktahtakin Toy, Josh Cooper, Kimiya Jozani, Seung Jin Choi

arxiv:2607.22550 v1 · 2026-05-13 · 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{WSF6OKOWUDD2PBJGMHESJNNIXT}

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	2026-07-28T00:21:41.734864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48be729d6a0c7a7852661c924b5a8bced291aa56e4707cad5b0bfdd0b6fe7b5

Aliases

arxiv: 2607.22550 · arxiv_version: 2607.22550v1 · doi: 10.48550/arxiv.2607.22550 · pith_short_12: WSF6OKOWUDD2 · pith_short_16: WSF6OKOWUDD2PBJG · pith_short_8: WSF6OKOW

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/WSF6OKOWUDD2PBJGMHESJNNIXT \
  | 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: b48be729d6a0c7a7852661c924b5a8bced291aa56e4707cad5b0bfdd0b6fe7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ac448227a916fcf20de77e79a94052f93d46e38b4ed3ab089fa6ab7b7b63278",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-13T01:40:21Z",
    "title_canon_sha256": "8c17a4b6360e064a5fe78c8994759c8a6cf3cb29d7b29fb075c1bd37d5ef4a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22550",
    "kind": "arxiv",
    "version": 1
  }
}