Pith Number

pith:3BEHX7PI

pith:2026:3BEHX7PIDZXLB5NYBCFT7ZRCFW

not attested not anchored not stored refs pending

On the Optimizer Dependence of Neural Scaling Laws

Shourya Vir Jain, Vansh Ramani

arxiv:2605.29387 v1 · 2026-05-28 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BEHX7PIDZXLB5NYBCFT7ZRCFW}

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	2026-05-29T01:05:36.421927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e

Aliases

arxiv: 2605.29387 · arxiv_version: 2605.29387v1 · doi: 10.48550/arxiv.2605.29387 · pith_short_12: 3BEHX7PIDZXL · pith_short_16: 3BEHX7PIDZXLB5NY · pith_short_8: 3BEHX7PI

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/3BEHX7PIDZXLB5NYBCFT7ZRCFW \
  | 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: d8487bfde81e6eb0f5b8088b3fe6222d8cdcb655f976c7f15a5c52f02d31ac9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c314f317d19f3b91330f7e3e8d14c51b51a3d5040a2c288a21b6a9a32fa584b",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-28T05:41:36Z",
    "title_canon_sha256": "64772bb72cc8db17909ee82ec3d62ed792087fa8f8b30a5c9802e63457023ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29387",
    "kind": "arxiv",
    "version": 1
  }
}