Pith Number

pith:LMS2ESP7

pith:2025:LMS2ESP7KZZF6YFBFHHPJEB3T4

not attested not anchored not stored refs pending

Advantageous Parameter Expansion Training Makes Better Large Language Models

HaiFeng Wang, Hua Wu, Naibin Gu, Peng Fu, Shuohuan Wang, Weiping Wang, Yilong Chen, Yu Sun, Zheng Lin, Zhenyu Zhang

arxiv:2505.24241 v1 · 2025-05-30 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMS2ESP7KZZF6YFBFHHPJEB3T4}

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	2026-07-05T11:12:44.862323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b25a249ff56725f60a129cef4903b9f26c7f28327ea8952da3ebab3cbdbb22a

Aliases

arxiv: 2505.24241 · arxiv_version: 2505.24241v1 · doi: 10.48550/arxiv.2505.24241 · pith_short_12: LMS2ESP7KZZF · pith_short_16: LMS2ESP7KZZF6YFB · pith_short_8: LMS2ESP7

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/LMS2ESP7KZZF6YFBFHHPJEB3T4 \
  | 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: 5b25a249ff56725f60a129cef4903b9f26c7f28327ea8952da3ebab3cbdbb22a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "358a1eff2ca21dc8f98f909db6cd5781fae1f7495b205d6b9d697fa4349b4c60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-05-30T06:06:23Z",
    "title_canon_sha256": "f182b7b78cb9ccae4dbdd875bc67631567d6a00856c2a621cbb000a3d001e8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24241",
    "kind": "arxiv",
    "version": 1
  }
}