Pith Number

pith:T57MNTLG

pith:2024:T57MNTLGWMQIRLED5XY2DVIQCC

not attested not anchored not stored refs pending

Phase transition in large language models and the criticality of natural languages

Kai Nakaishi, Koji Hukushima, Yoshihiko Nishikawa

arxiv:2406.05335 v3 · 2024-06-08 · cond-mat.dis-nn · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T57MNTLGWMQIRLED5XY2DVIQCC}

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

3 papers in Pith

A Limit Theory of Foundation Models: A Mathematical Approach to Understanding Emergent Intelligence and Scaling Laws

Escaping Mode Collapse in LLM Generation via Geometric Regulation

Turbulence-like 5/3 spectral scaling in contextual representations of language as a complex system

Receipt and verification

First computed	2026-06-09T01:04:37.340582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7ec6cd66b32088ac83edf1a1d51010be42ba93680936f9eb8c9ac5ac0e0e6d

Aliases

arxiv: 2406.05335 · arxiv_version: 2406.05335v3 · doi: 10.48550/arxiv.2406.05335 · pith_short_12: T57MNTLGWMQI · pith_short_16: T57MNTLGWMQIRLED · pith_short_8: T57MNTLG

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/T57MNTLGWMQIRLED5XY2DVIQCC \
  | 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: 9f7ec6cd66b32088ac83edf1a1d51010be42ba93680936f9eb8c9ac5ac0e0e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7f7d12c803f4dad43a28e1aa4a4737187725abc64a27bfe2ed1ff068ee0d1a4",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2024-06-08T03:37:05Z",
    "title_canon_sha256": "c7bdbdceba51c1fec77ba9a37552c4dcdaddc4086170c056d81428572a23929c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.05335",
    "kind": "arxiv",
    "version": 3
  }
}