Pith Number

pith:3TNI45ZJ

pith:2025:3TNI45ZJJBU63RBYTI2FLPWUYY

not attested not anchored not stored refs pending

Small-to-Large Generalization: Data Influences Models Consistently Across Scale

Alaa Khaddaj, Aleksander Madry, Logan Engstrom

arxiv:2505.16260 v1 · 2025-05-22 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TNI45ZJJBU63RBYTI2FLPWUYY}

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	2026-07-05T11:07:32.323786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcda8e77294869edc4389a3455bed4c6183caafa484e216b9046509fe9629e51

Aliases

arxiv: 2505.16260 · arxiv_version: 2505.16260v1 · doi: 10.48550/arxiv.2505.16260 · pith_short_12: 3TNI45ZJJBU6 · pith_short_16: 3TNI45ZJJBU63RBY · pith_short_8: 3TNI45ZJ

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/3TNI45ZJJBU63RBYTI2FLPWUYY \
  | 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: dcda8e77294869edc4389a3455bed4c6183caafa484e216b9046509fe9629e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2bc41ae09223cc236ed3abf9a05adc8c2877ebcf112e6bd6c266a159415d2ab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-22T05:50:19Z",
    "title_canon_sha256": "513d15ead7be70b3bce1621b3976558806babde39c75c9d165a1cc6a0a91e262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16260",
    "kind": "arxiv",
    "version": 1
  }
}