Pith Number

pith:NKSNQO5Y

pith:2025:NKSNQO5YLYO2EIZHKUQRUN773X

not attested not anchored not stored refs pending

Training Dynamics Underlying Language Model Scaling Laws: Loss Deceleration and Zero-Sum Learning

Andrei Mircea, Ekaterina Lobacheva, Irina Rish, Milind Naphade, Nima Chitsazan, Sambit Sahu, Supriyo Chakraborty

arxiv:2506.05447 v2 · 2025-06-05 · 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{NKSNQO5YLYO2EIZHKUQRUN773X}

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

Bridging Compute- and Data-Optimal Pretraining

Receipt and verification

First computed	2026-07-05T11:37:22.835270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa4d83bb85e1da2232755211a37ffddd2b97da6dda1e4f470fe0d46bb55feed

Aliases

arxiv: 2506.05447 · arxiv_version: 2506.05447v2 · doi: 10.48550/arxiv.2506.05447 · pith_short_12: NKSNQO5YLYO2 · pith_short_16: NKSNQO5YLYO2EIZH · pith_short_8: NKSNQO5Y

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/NKSNQO5YLYO2EIZHKUQRUN773X \
  | 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: 6aa4d83bb85e1da2232755211a37ffddd2b97da6dda1e4f470fe0d46bb55feed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1496d502b117559b4ffa1d5b694ce269d1fe0193fdf61d9ffeb9276101296eb",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-05T15:18:35Z",
    "title_canon_sha256": "dca44d6c5ec302965d45eb1f7e214b72394537877dafc9efd5cafcd2c43e2592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05447",
    "kind": "arxiv",
    "version": 2
  }
}