Pith Number

pith:72MEJW2W

pith:2024:72MEJW2WCDCSM4WEVYUJT3MD7N

not attested not anchored not stored refs pending

Has LLM Reached the Scaling Ceiling Yet? Unified Insights into LLM Regularities and Constraints

Charles Luo

arxiv:2412.16443 v1 · 2024-12-21 · 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{72MEJW2WCDCSM4WEVYUJT3MD7N}

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	2026-07-05T09:52:46.145617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9844db5610c52672c4ae2899ed83fb6ed29d1df64805fd575c3a79aee3ce73

Aliases

arxiv: 2412.16443 · arxiv_version: 2412.16443v1 · doi: 10.48550/arxiv.2412.16443 · pith_short_12: 72MEJW2WCDCS · pith_short_16: 72MEJW2WCDCSM4WE · pith_short_8: 72MEJW2W

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/72MEJW2WCDCSM4WEVYUJT3MD7N \
  | 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: fe9844db5610c52672c4ae2899ed83fb6ed29d1df64805fd575c3a79aee3ce73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2a64f17206f211614357945c09c3c0f253aaae81f515504e78313b7f3617f3",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-21T02:19:07Z",
    "title_canon_sha256": "8041d262d1e8290414e0223c5b3cfd8f3a9d5bc9c455aec921826392c334c08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16443",
    "kind": "arxiv",
    "version": 1
  }
}