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Pith Number

pith:WTWZI26Q

pith:2017:WTWZI26Q5RKWYA6AF2NPYTIBUQ
not attested not anchored not stored refs pending

Balas formulation for the union of polytopes is optimal

Marco Di Summa, Michele Conforti, Yuri Faenza

arxiv:1711.00891 v1 · 2017-11-02 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WTWZI26Q5RKWYA6AF2NPYTIBUQ}

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 2026-05-18T00:31:24.578445Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b4ed946bd0ec556c03c02e9afc4d01a403295d6c546553492d803e39f018a434

Aliases

arxiv: 1711.00891 · arxiv_version: 1711.00891v1 · doi: 10.48550/arxiv.1711.00891 · pith_short_12: WTWZI26Q5RKW · pith_short_16: WTWZI26Q5RKWYA6A · pith_short_8: WTWZI26Q
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WTWZI26Q5RKWYA6AF2NPYTIBUQ \
  | 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: b4ed946bd0ec556c03c02e9afc4d01a403295d6c546553492d803e39f018a434
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bbdf332911cc673c3dbb41286144606ce75084880d93ed169308f15d25a31625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-02T19:06:33Z",
    "title_canon_sha256": "29789dbb14149dd2f2547fce71bb782185a30076ab4ae501aa8cd154fd7a1550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00891",
    "kind": "arxiv",
    "version": 1
  }
}