Pith Number

pith:CAMLNABW

pith:2024:CAMLNABWLW3SY6B2EBWY4SG5IL

not attested not anchored not stored refs pending

Densing Law of LLMs

Biyuan Lin, Chaojun Xiao, Guoyang Zeng, Jie Cai, Jie Zhou, Maosong Sun, Weilin Zhao, Xu Han, Zhiyuan Liu, Zhi Zheng

arxiv:2412.04315 v2 · 2024-12-05 · cs.AI · 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{CAMLNABWLW3SY6B2EBWY4SG5IL}

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.

Cited by

1 paper in Pith

Seed1.5-VL Technical Report

Receipt and verification

First computed	2026-07-05T09:45:17.828472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1018b680365db72c783a206d8e48dd42d5573b9fb967077c3fad7ab88b790060

Aliases

arxiv: 2412.04315 · arxiv_version: 2412.04315v2 · doi: 10.48550/arxiv.2412.04315 · pith_short_12: CAMLNABWLW3S · pith_short_16: CAMLNABWLW3SY6B2 · pith_short_8: CAMLNABW

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/CAMLNABWLW3SY6B2EBWY4SG5IL \
  | 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: 1018b680365db72c783a206d8e48dd42d5573b9fb967077c3fad7ab88b790060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f225b8a6908c4e0aac5826bf47a9d584bf14c5e31e96ca2e3831562b5986115c",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-12-05T16:31:13Z",
    "title_canon_sha256": "f406616514c590f2147c36f30e0deab4cfca01f6d747e55e459fe57d66f98a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04315",
    "kind": "arxiv",
    "version": 2
  }
}