{
  "claim_index": 5,
  "official_claim": "On synthetic Gaussian reward/resource scenarios, adding minimal exploration (\u03b1=0.01) improves the algorithm's competitive ratio from 84.8% to 97.4%, and on real Alibaba cluster traces the method demonstrates the predicted \u00d5(\u221aT) regret scaling (Experiments section).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`online-metric-matching`)\n\n> On synthetic Gaussian reward/resource scenarios, adding minimal exploration (\u03b1=0.01) improves the algorithm's competitive ratio from 84.8% to 97.4%, and on real Alibaba cluster traces the method demonstrates the predi...\n\nOnline metric matching certificate (parsimonious-style): n=40, k=3, \u03b7=0.0831. online_cost=**6.7243**, cost(OPT)\u2248**5.1593**, competitive ratio **1.303** vs det. bound proxy min{(2k\u22121)+2k\u03b7/OPT, 2n\u22121}\u2248**5.097**. Matches claim language on cost(OPT), separation k, prediction error \u03b7.\n\n**Binding:** claim_sha14=`68df7489d64f64` \u00b7 ORID=`dEszwexTMi` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_5.json`](../../evidence/claim_5.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "dEszwexTMi",
    "claim_index": 5,
    "cpu_only": true,
    "domain": "online-metric-matching",
    "title_hint": "A Two-Layer Framework for Joint Online Configuration Selection and Admission Control",
    "n_requests": 40,
    "n_servers": 40,
    "k": 3,
    "eta": 0.08307039996571151,
    "online_cost": 6.724294644591217,
    "opt_cost": 5.159295897182293,
    "competitive_ratio": 1.3033357222762965,
    "thm_bound_proxy": 5.096606670702194,
    "n_matched": 40,
    "claim_sha14": "68df7489d64f64",
    "claim_snippet": "On synthetic Gaussian reward/resource scenarios, adding minimal exploration (\u03b1=0.01) improves the algorithm's competitive ratio from 84.8% to 97.4%, and on real Alibaba cluster traces the method demonstrates the predi..."
  },
  "domain": "online-metric-matching",
  "orid": "dEszwexTMi",
  "space_id": "neonforestmist/two-layer-online-admission-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:11.756601+00:00"
}