Pith Number

pith:NHPKXX66

pith:2026:NHPKXX663VXKQ6YIWPP6NOFGMA

not attested not anchored not stored refs pending

LLMs as a Jury: Cross-Model Consensus Can Outperform Process Reward Models for LLM Reasoning

Ning Liu

arxiv:2607.10139 v1 · 2026-07-11 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHPKXX663VXKQ6YIWPP6NOFGMA}

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	2026-07-14T01:20:27.236388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69deabdfdedd6ea87b08b3dfe6b8a66002516f944ccef5ec54d0fb5e098ffd5d

Aliases

arxiv: 2607.10139 · arxiv_version: 2607.10139v1 · doi: 10.48550/arxiv.2607.10139 · pith_short_12: NHPKXX663VXK · pith_short_16: NHPKXX663VXKQ6YI · pith_short_8: NHPKXX66

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/NHPKXX663VXKQ6YIWPP6NOFGMA \
  | 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: 69deabdfdedd6ea87b08b3dfe6b8a66002516f944ccef5ec54d0fb5e098ffd5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1225a6e8065f6e363bcb23282f1775282f7227103dec34011f343bc2b3fca1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-11T05:57:54Z",
    "title_canon_sha256": "3806aa82b3a71fbebaefd31924da653d033bb3edaf8a4b0d6c9b0b0c28f6bb94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10139",
    "kind": "arxiv",
    "version": 1
  }
}