Pith Number

pith:C2F3SPJC

pith:2026:C2F3SPJCRVGJBASRU6OPTMGI5T

not attested not anchored not stored refs pending

When More Sampling Hurts: The Modal Ceiling and Correlation Ceiling of Test-Time Scaling

Kathleen A. Yearick, Yong Yi Bay

arxiv:2606.28661 v1 · 2026-06-27 · cs.LG · cs.AI · cs.CL · 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{C2F3SPJCRVGJBASRU6OPTMGI5T}

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.

Cited by

1 paper in Pith

GRPO, Dr. GRPO, and DAPO Are Three Operations on One Number: The Group-Standard-Deviation Identity

Receipt and verification

First computed	2026-06-30T01:16:46.360224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168bb93d228d4c908251a79cf9b0c8ecfcb68b31359095c317b7c5688364f672

Aliases

arxiv: 2606.28661 · arxiv_version: 2606.28661v1 · doi: 10.48550/arxiv.2606.28661 · pith_short_12: C2F3SPJCRVGJ · pith_short_16: C2F3SPJCRVGJBASR · pith_short_8: C2F3SPJC

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/C2F3SPJCRVGJBASRU6OPTMGI5T \
  | 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: 168bb93d228d4c908251a79cf9b0c8ecfcb68b31359095c317b7c5688364f672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4525f666404e5d7aa54ba1185ae7c8385b75b4e90d7e8c9edce093c871b4dd57",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-27T00:37:33Z",
    "title_canon_sha256": "14b525ee2cd1a9ad568a85a6ad27980d27796d5884223b972f040f8c4adfaea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28661",
    "kind": "arxiv",
    "version": 1
  }
}