Pith Number

pith:XEMI4YXQ

pith:2026:XEMI4YXQVQMXRCW4E53ZIE3ZJ7

not attested not anchored not stored refs pending

Fusing Backdoors, Machine Learning, and Optimization for Large-Scale Parametric Mixed-Integer Programs

El Mehdi Er Raqabi, Pascal Van Hentenryck

arxiv:2606.21440 v1 · 2026-06-19 · 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{XEMI4YXQVQMXRCW4E53ZIE3ZJ7}

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	2026-06-23T01:13:10.360982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9188e62f0ac19788adc27779413794fea07cc3e1dcf939a4be559640789a31d

Aliases

arxiv: 2606.21440 · arxiv_version: 2606.21440v1 · doi: 10.48550/arxiv.2606.21440 · pith_short_12: XEMI4YXQVQMX · pith_short_16: XEMI4YXQVQMXRCW4 · pith_short_8: XEMI4YXQ

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/XEMI4YXQVQMXRCW4E53ZIE3ZJ7 \
  | 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: b9188e62f0ac19788adc27779413794fea07cc3e1dcf939a4be559640789a31d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999200e8ec67fee0dea5f14456241f2201f0535dad4f23bfd48e00bc5a8112fb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T14:02:01Z",
    "title_canon_sha256": "f20a4d9932b2b852e86007122aa82f108f15a1467df9892d380e42f669b61f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21440",
    "kind": "arxiv",
    "version": 1
  }
}