Pith Number

pith:RFQ2B3AL

pith:2025:RFQ2B3ALBDCCXE6MSX7AQ7JSEI

not attested not anchored not stored refs pending

The Journey Matters: Average Parameter Count over Pre-training Unifies Sparse and Dense Scaling Laws

Ahmed Imtiaz Humayun, Amir Yazdanbakhsh, Dan Alistarh, Gintare Karolina Dziugaite, Suvinay Subramanian, Tian Jin, Utku Evci

arxiv:2501.12486 v2 · 2025-01-21 · cs.LG · 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{RFQ2B3ALBDCCXE6MSX7AQ7JSEI}

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	2026-06-10T01:09:14.665515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8961a0ec0b08c42b93cc95fe087d322216a59ec0fb20d81b3132fedba1b55877

Aliases

arxiv: 2501.12486 · arxiv_version: 2501.12486v2 · doi: 10.48550/arxiv.2501.12486 · pith_short_12: RFQ2B3ALBDCC · pith_short_16: RFQ2B3ALBDCCXE6M · pith_short_8: RFQ2B3AL

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/RFQ2B3ALBDCCXE6MSX7AQ7JSEI \
  | 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: 8961a0ec0b08c42b93cc95fe087d322216a59ec0fb20d81b3132fedba1b55877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7736aba2c8557aa52a367304f8517fec5fe67197f02a42ab6918b8594a7b3174",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-21T20:23:22Z",
    "title_canon_sha256": "167cece2a204eac14649fb0a13cdc197d380f4036ffa818795ca8c600c3d5eaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12486",
    "kind": "arxiv",
    "version": 2
  }
}