Pith Number

pith:S6HVR2P6

pith:2025:S6HVR2P6YPPXTLJY5PRXL3HOYS

not attested not anchored not stored refs pending

Beyond Scaling Curves: Internal Dynamics of Neural Networks Through the NTK Lens

Christian Holm, Konstantin Nikolaou, Samuel Tovey, Sven Krippendorf

arxiv:2507.05035 v1 · 2025-07-07 · 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{S6HVR2P6YPPXTLJY5PRXL3HOYS}

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	2026-07-05T11:33:08.139656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978f58e9fec3df79ad38ebe375eceec49bafbfff7233422d2b46ef7d48a59fa8

Aliases

arxiv: 2507.05035 · arxiv_version: 2507.05035v1 · doi: 10.48550/arxiv.2507.05035 · pith_short_12: S6HVR2P6YPPX · pith_short_16: S6HVR2P6YPPXTLJY · pith_short_8: S6HVR2P6

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/S6HVR2P6YPPXTLJY5PRXL3HOYS \
  | 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: 978f58e9fec3df79ad38ebe375eceec49bafbfff7233422d2b46ef7d48a59fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2285e367a3ae47cdc6998d89a934a35c5cf042c006c291a79c2e566fbb57e72c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-07T14:17:44Z",
    "title_canon_sha256": "c5074eed51d519ebb02affe8e0aa3132e3f4babdc7280f3bdcfaf65dba59735c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05035",
    "kind": "arxiv",
    "version": 1
  }
}