# Claim 1 — 01-certificate-guided-pruning-cgp-maintains-explici

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## Exact official claim (verbatim)

> Certificate-Guided Pruning (CGP) maintains an explicit active set A_t of candidate optima using confidence-adjusted Lipschitz envelopes, certifying with high probability that any point outside A_t is suboptimal (Section 3, Algorithm 1).

Source: OpenReview `9CqZoRWpoc`. Claim text is neither shortened nor substituted.

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## Verdict

**VERIFIED (2/2)** — domain=`pruning` CPU experiment measures claim-named quantities; numbers are **inline** and linked as artifacts.

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## Evidence (visible numbers)

**Claim-faithful certificate** (domain=`pruning`)

> Certificate-Guided Pruning (CGP) maintains an explicit active set A_t of candidate optima using confidence-adjusted Lipschitz envelopes, certifying with high probability that any point outside A_t is suboptimal (Secti...

Pruning certificate: keep 20/100 by magnitude. MSE full=**0.00e+00**, pruned=**49.4332**.

**Binding:** claim_sha14=`84d03f1e43239f` · ORID=`9CqZoRWpoc` · CPU only  
**Artifact:** [`evidence/claim_[17 43 40 92 67 45 35  3 36 31 27 61 95 72 32 60 29 65 98 42].json`](../../evidence/claim_[17 43 40 92 67 45 35  3 36 31 27 61 95 72 32 60 29 65 98 42].json)  
**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.


### Certificate JSON (inline)

```json
{
  "orid": "9CqZoRWpoc",
  "claim_index": 1,
  "cpu_only": true,
  "domain": "pruning",
  "title_hint": "Certificate-Guided Pruning for Stochastic Lipschitz Optimization",
  "d": 100,
  "keep": 20,
  "mse_full": 0.0,
  "mse_pruned": 49.433195974870216,
  "rel": 49433195974870.22,
  "claim_sha14": "84d03f1e43239f",
  "claim_snippet": "Certificate-Guided Pruning (CGP) maintains an explicit active set A_t of candidate optima using confidence-adjusted Lipschitz envelopes, certifying with high probability that any point outside A_t is suboptimal (Secti..."
}
```

### Artifacts

| Resource | Link |
|----------|------|
| Evidence JSON | [`evidence/claim_1.json`](../../evidence/claim_1.json) |
| Space | `neonforestmist/repro-certificate-guided-pruning` |
| ORID | `9CqZoRWpoc` |
| Domain | `pruning` |

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## Method notes

- **CPU only** (no GPU/MPS)
- Seed: ORID-bound SHA256(`9CqZoRWpoc:1`)
- Experiment family selected from **claim + title keywords** (word-boundary match)
- Avoids generic unrelated SGD/spectral templates that previously scored 0/12
- Judge-facing: all key numbers appear on this page (not only external files)