Pith Number

pith:S4KBDX4X

pith:2025:S4KBDX4XVU4FBJK5HDD32BKNHR

not attested not anchored not stored refs pending

Phase Transitions in Large Language Models and the $O(N)$ Model

Babak Haghighat, Youran Sun

arxiv:2501.16241 v1 · 2025-01-27 · cs.LG · cs.CL · hep-th · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4KBDX4XVU4FBJK5HDD32BKNHR}

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

2 papers in Pith

Generative Criticality in Large Language Model Temperature Scaling

Lecture Notes on Statistical Physics and Neural Networks

Receipt and verification

First computed	2026-07-05T10:05:57.192640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971411df97ad3850a55d38c7bd054d3c54903715a9ddce2e87776ceabc77e434

Aliases

arxiv: 2501.16241 · arxiv_version: 2501.16241v1 · doi: 10.48550/arxiv.2501.16241 · pith_short_12: S4KBDX4XVU4F · pith_short_16: S4KBDX4XVU4FBJK5 · pith_short_8: S4KBDX4X

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/S4KBDX4XVU4FBJK5HDD32BKNHR \
  | 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: 971411df97ad3850a55d38c7bd054d3c54903715a9ddce2e87776ceabc77e434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde1b025c48d50e24e30b0b34b0e6c9394b9828df5749a6db5db028a4d758dc8",
    "cross_cats_sorted": [
      "cs.CL",
      "hep-th",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-27T17:36:06Z",
    "title_canon_sha256": "039e3a612d7a46723de3a24a23a36c0cf70339f0e5963f3c5cd80388c7080e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16241",
    "kind": "arxiv",
    "version": 1
  }
}