Pith Number

pith:NKS2CUGA

pith:2026:NKS2CUGAHWESGWMZUK4KXYFIWX

not attested not anchored not stored refs pending

When Many Answers Are Valid, Voting Fails: Symbolic Verification for Best-of-K Causal Reasoning in LLMs

Connor Thomas Jerzak, Fangcong Yin, Nhat Ho, Omatharv Bharat Vaidya, Zayne Rea Sprague

arxiv:2608.03506 v1 · 2026-08-04 · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKS2CUGAHWESGWMZUK4KXYFIWX}

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	2026-08-05T01:35:59.534568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa5a150c03d89235999a2b8abe0a8b5f36a25c2f80013d511f2a03a68dc9935

Aliases

arxiv: 2608.03506 · arxiv_version: 2608.03506v1 · doi: 10.48550/arxiv.2608.03506 · pith_short_12: NKS2CUGAHWES · pith_short_16: NKS2CUGAHWESGWMZ · pith_short_8: NKS2CUGA

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/NKS2CUGAHWESGWMZUK4KXYFIWX \
  | 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: 6aa5a150c03d89235999a2b8abe0a8b5f36a25c2f80013d511f2a03a68dc9935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60de79e03d1e2a604ae0691435826a4924ece48c41161baeb7f0be2c839dd78a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-08-04T11:45:46Z",
    "title_canon_sha256": "32b69de850231074b5b14f25e7efd2db1df8150332266cacd6abe107af56ba1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03506",
    "kind": "arxiv",
    "version": 1
  }
}