Pith Number

pith:FQYDKLGX

pith:2026:FQYDKLGXAPTQR4F5JB4JSW27P5

not attested not anchored not stored refs pending

Learning to reoptimize: a GNN-aided fix-and-optimize approach and an application to the Lot Sizing problem

Andrea Lodi, Enrico Malaguti, Filippo Focacci, Mathieu Lerouge, Michele Monaci

arxiv:2605.27339 v1 · 2026-05-26 · 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{FQYDKLGXAPTQR4F5JB4JSW27P5}

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	2026-05-27T02:06:18.831472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c30352cd703e708f0bd4878995b5f7f608723392121ad2d49931a53ac184285

Aliases

arxiv: 2605.27339 · arxiv_version: 2605.27339v1 · doi: 10.48550/arxiv.2605.27339 · pith_short_12: FQYDKLGXAPTQ · pith_short_16: FQYDKLGXAPTQR4F5 · pith_short_8: FQYDKLGX

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/FQYDKLGXAPTQR4F5JB4JSW27P5 \
  | 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: 2c30352cd703e708f0bd4878995b5f7f608723392121ad2d49931a53ac184285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742f3a49dac5821c2e68068f7048bfb52f3afed212792f8b492713cd98eba7b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T17:44:41Z",
    "title_canon_sha256": "07ae603f8d3c7131d339e3f300f538e8818873030b1fc32184329b4224e5c165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27339",
    "kind": "arxiv",
    "version": 1
  }
}