Pith Number

pith:QOWDQJIF

pith:2025:QOWDQJIFWIB53AZSLPZCJNB7WO

not attested not anchored not stored refs pending

Sub-Scaling Laws: On the Role of Data Density and Training Strategies in LLMs

Jingang Wang, Junxian He, Shiqi Chen, Siqi Wang, Teng Xiao, Xunliang Cai, Yudong Wang, Zhengyu Chen

arxiv:2507.10613 v1 · 2025-07-13 · 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{QOWDQJIFWIB53AZSLPZCJNB7WO}

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	2026-07-05T11:36:57.605811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ac382505b203dd83325bf224b43fb3b37500646bea8949e90a27527d4b0797

Aliases

arxiv: 2507.10613 · arxiv_version: 2507.10613v1 · doi: 10.48550/arxiv.2507.10613 · pith_short_12: QOWDQJIFWIB5 · pith_short_16: QOWDQJIFWIB53AZS · pith_short_8: QOWDQJIF

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/QOWDQJIFWIB53AZSLPZCJNB7WO \
  | 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: 83ac382505b203dd83325bf224b43fb3b37500646bea8949e90a27527d4b0797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fdb218b8266b97b2a7270f7a0f9ada615467d664e964ce46330ff3d5fb962d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-13T15:15:24Z",
    "title_canon_sha256": "bd3bdfe60989ec1e5691a4d02bb5785492c0f2808a2729f0d459eac00e473926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10613",
    "kind": "arxiv",
    "version": 1
  }
}