Pith Number

pith:XLKSNLGK

pith:2026:XLKSNLGKHAWXCAWYZWFKWZXAGL

not attested not anchored not stored refs pending

Partially Correlated Verifier Cascades in LLM Harnesses: Concave Log-Odds, Polynomial Reliability, and Blind-Spot Ceilings

Jiangang Han

arxiv:2607.13918 v1 · 2026-07-15 · math.ST · cs.AI · cs.LG · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLKSNLGKHAWXCAWYZWFKWZXAGL}

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	2026-07-16T01:23:13.653982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad526acca382d7102d8cd8aab66e032c99bea497de0f359cdf6a9a090a28c7d

Aliases

arxiv: 2607.13918 · arxiv_version: 2607.13918v1 · doi: 10.48550/arxiv.2607.13918 · pith_short_12: XLKSNLGKHAWX · pith_short_16: XLKSNLGKHAWXCAWY · pith_short_8: XLKSNLGK

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/XLKSNLGKHAWXCAWYZWFKWZXAGL \
  | 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: bad526acca382d7102d8cd8aab66e032c99bea497de0f359cdf6a9a090a28c7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a3ffb9f2bfafd2b910ba57b59300818cc76aa9f6d7062367dfcdad1f3d9bd06",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-15T14:58:37Z",
    "title_canon_sha256": "e9e67a339f5f0313f5ad7b09db6db898c567bcb91d398a2aa9b4e46fb4aaef45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13918",
    "kind": "arxiv",
    "version": 1
  }
}