Pith Number

pith:CEGTEPVJ

pith:2025:CEGTEPVJ35YBGDPQGU73H6QQJJ

not attested not anchored not stored refs pending

PiCSAR: Probabilistic Confidence Selection And Ranking for Reasoning Chains

Aryo Pradipta Gema, Eleonora Giunchiglia, Joshua Ong Jun Leang, Pasquale Minervini, Shay B. Cohen, Sohee Yang, Wai-Chung Kwan, Wenda Li, Xuanli He, Zheng Zhao

A training-free score based on the joint log-likelihood of reasoning steps and final answer selects correct chains more reliably than prior methods.

arxiv:2508.21787 v3 · 2025-08-29 · cs.CL · cs.AI

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\usepackage{pith}
\pithnumber{CEGTEPVJ35YBGDPQGU73H6QQJJ}

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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.

Claims

C1strongest claim

PiCSAR achieves substantial gains across diverse benchmarks (+10.18 on MATH500, +9.81 on AIME2025), outperforming baselines with at least 2x fewer samples in 16 out of 20 comparisons.

C2weakest assumption

Correct reasoning chains exhibit significantly higher reasoning and answer confidence (as measured by joint log-likelihood) than incorrect ones, allowing the scoring function to identify them reliably.

C3one line summary

PiCSAR ranks reasoning chains by joint log-likelihood of reasoning and answer to select better outputs, delivering large gains on math benchmarks with reduced sampling.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-07-14T02:22:28.666784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110d323ea9df70130df0353fb3fa104a6c052c984d7456a16fc1b4eee68d4bc8

Aliases

arxiv: 2508.21787 · arxiv_version: 2508.21787v3 · doi: 10.48550/arxiv.2508.21787 · pith_short_12: CEGTEPVJ35YB · pith_short_16: CEGTEPVJ35YBGDPQ · pith_short_8: CEGTEPVJ

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/CEGTEPVJ35YBGDPQGU73H6QQJJ \
  | 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: 110d323ea9df70130df0353fb3fa104a6c052c984d7456a16fc1b4eee68d4bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44f8eea31d98b461605e3f2ff11d0389556a1faf74a1a2d317edf259c145676",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-08-29T17:03:47Z",
    "title_canon_sha256": "d4eb40fad596d1a0a907358e2c298c3e43fadd343b6929fd595d78c586929333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21787",
    "kind": "arxiv",
    "version": 3
  }
}