Pith Number

pith:WVPZ3RE4

pith:2026:WVPZ3RE4EU6X27XLADDRLX55JW

not attested not anchored not stored refs pending

How to Allocate Your Tokens? Scaling Laws with Training Steps and Batch Size

Fabian Schaipp

arxiv:2607.01487 v1 · 2026-07-01 · cs.LG · 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{WVPZ3RE4EU6X27XLADDRLX55JW}

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	2026-07-03T00:17:02.064404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55f9dc49c253d7d7eeb00c715dfbd4dbfb89ba4b515e06bf44bf9503cb5dbea

Aliases

arxiv: 2607.01487 · arxiv_version: 2607.01487v1 · doi: 10.48550/arxiv.2607.01487 · pith_short_12: WVPZ3RE4EU6X · pith_short_16: WVPZ3RE4EU6X27XL · pith_short_8: WVPZ3RE4

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/WVPZ3RE4EU6X27XLADDRLX55JW \
  | 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: b55f9dc49c253d7d7eeb00c715dfbd4dbfb89ba4b515e06bf44bf9503cb5dbea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4361b99db126327120cfb363bc4877038a4569c52dd37522c06f23c50d39172",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-01T21:32:14Z",
    "title_canon_sha256": "e229bc304779d3c7ec62d2436f7633d1a873b7cd94afe31f58aa267d5ce91075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01487",
    "kind": "arxiv",
    "version": 1
  }
}