Pith Number

pith:V62H6WBL

pith:2025:V62H6WBL72GKNUY4R2JUDUYFJS

not attested not anchored not stored refs pending

Layers at Similar Depths Generate Similar Activations Across LLM Architectures

Aaron Schein, Christopher Wolfram

arxiv:2504.08775 v3 · 2025-04-03 · cs.CL · 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{V62H6WBL72GKNUY4R2JUDUYFJS}

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

Contravariance Theory: Strong Alignment for Minimal Solutions to Hard Tasks

Gradient Smoothing: Coupling Layer-wise Updates for Improved Optimization

Receipt and verification

First computed	2026-07-05T11:50:34.766038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb47f582bfe8ca6d31c8e9341d3054cb93957ee68fec34520b952408fe1d48f

Aliases

arxiv: 2504.08775 · arxiv_version: 2504.08775v3 · doi: 10.48550/arxiv.2504.08775 · pith_short_12: V62H6WBL72GK · pith_short_16: V62H6WBL72GKNUY4 · pith_short_8: V62H6WBL

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/V62H6WBL72GKNUY4R2JUDUYFJS \
  | 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: afb47f582bfe8ca6d31c8e9341d3054cb93957ee68fec34520b952408fe1d48f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b477faf8cbc9b4c2387055b3bc7c1629aac787ce9aa379d0305605e1f2942e68",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-04-03T21:02:30Z",
    "title_canon_sha256": "dc7b05ef3a4e12db7d5d18ff183622618ef492f921653ee0892dc063673dc96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08775",
    "kind": "arxiv",
    "version": 3
  }
}