Pith Number

pith:HFUU5SW5

pith:2025:HFUU5SW52BO2ZSAFIIZIX2L2LN

not attested not anchored not stored refs pending

Unifying Learning Dynamics and Generalization in Transformers Scaling Law

Chiwun Yang

arxiv:2512.22088 v3 · 2025-12-26 · cs.LG · cs.AI · 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{HFUU5SW52BO2ZSAFIIZIX2L2LN}

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	2026-06-11T01:10:31.093428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39694ecaddd05dacc80542328be97a5b7ef53ad66f83a5428941238d257f5e9d

Aliases

arxiv: 2512.22088 · arxiv_version: 2512.22088v3 · doi: 10.48550/arxiv.2512.22088 · pith_short_12: HFUU5SW52BO2 · pith_short_16: HFUU5SW52BO2ZSAF · pith_short_8: HFUU5SW5

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/HFUU5SW52BO2ZSAFIIZIX2L2LN \
  | 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: 39694ecaddd05dacc80542328be97a5b7ef53ad66f83a5428941238d257f5e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67d72bb1f7816852c4a729466b60a61978c1485576e901622d828b928d25063",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-26T17:20:09Z",
    "title_canon_sha256": "5f8a769cd2f11cfe3fc8d3b09e1313b0c8f6c72dfb4eb8fbdad360092de0b788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22088",
    "kind": "arxiv",
    "version": 3
  }
}