Pith Number

pith:DO6SBW3F

pith:2024:DO6SBW3FO4MN67YNZA526QCYOY

not attested not anchored not stored refs pending

Understanding Scaling Laws with Statistical and Approximation Theory for Transformer Neural Networks on Intrinsically Low-dimensional Data

Alex Havrilla, Wenjing Liao

arxiv:2411.06646 v1 · 2024-11-11 · cs.LG · cs.AI · cs.CL · 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{DO6SBW3FO4MN67YNZA526QCYOY}

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	2026-07-05T09:33:49.327327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbd20db657718df7f0dc83baf4058762ff45cfceb829837adb6a1ab95b04b14

Aliases

arxiv: 2411.06646 · arxiv_version: 2411.06646v1 · doi: 10.48550/arxiv.2411.06646 · pith_short_12: DO6SBW3FO4MN · pith_short_16: DO6SBW3FO4MN67YN · pith_short_8: DO6SBW3F

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/DO6SBW3FO4MN67YNZA526QCYOY \
  | 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: 1bbd20db657718df7f0dc83baf4058762ff45cfceb829837adb6a1ab95b04b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952c8895ceb889f12183ca7bc6a19b308615505fe318e19164422e7a91d11166",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-11T01:05:28Z",
    "title_canon_sha256": "e8d593ff3f8a6605fca249a464dddef02ef6c35e8760389365fcaf77f24f04e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06646",
    "kind": "arxiv",
    "version": 1
  }
}