Pith Number

pith:Y4TP3YMS

pith:2026:Y4TP3YMSNROFUNPRF27EOR6MHZ

not attested not anchored not stored refs pending

When Data Is Scarce: Scaling Sparse Language Models with Repeated Training

Boqian Wu, Decebal Constantin Mocanu, Elena Mocanu, Maurice van Keulen, Mykola Pechenizkiy, Patrik Okanovic, Qiao Xiao, Tomasz Sternal, Torsten Hoefler

arxiv:2606.01155 v1 · 2026-05-31 · 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{Y4TP3YMSNROFUNPRF27EOR6MHZ}

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	2026-06-02T02:04:25.252719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c726fde1926c5c5a35f12ebe4747cc3e6e2fea22ca9b743d916f586adbeeccc6

Aliases

arxiv: 2606.01155 · arxiv_version: 2606.01155v1 · doi: 10.48550/arxiv.2606.01155 · pith_short_12: Y4TP3YMSNROF · pith_short_16: Y4TP3YMSNROFUNPR · pith_short_8: Y4TP3YMS

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/Y4TP3YMSNROFUNPRF27EOR6MHZ \
  | 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: c726fde1926c5c5a35f12ebe4747cc3e6e2fea22ca9b743d916f586adbeeccc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d25c3aef4ffc3fed1eecc02835d9766d69dd8e35cfa8540fa01eaf1e9b0fef3",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-31T10:51:18Z",
    "title_canon_sha256": "2166b1f712da4277478ec011fe55edd8b099f042278a0aec6c9b96c99cb0ed6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01155",
    "kind": "arxiv",
    "version": 1
  }
}