Pith Number

pith:73LLGYKX

pith:2025:73LLGYKXA35AOMQO5UGZTE7FWO

not attested not anchored not stored refs pending

Reactivation: Empirical NTK Dynamics Under Task Shifts

Giulia Lanzillotta, Yufei Liu, Yuzhi Liu, Zirui Zhang, Zixuan Chen

arxiv:2507.16039 v2 · 2025-07-21 · cs.LG · 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{73LLGYKXA35AOMQO5UGZTE7FWO}

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	2026-07-05T11:43:14.095745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed6b3615706fa07320eed0d9993e5b39906a76963d3b35220110cb52b3b8718

Aliases

arxiv: 2507.16039 · arxiv_version: 2507.16039v2 · doi: 10.48550/arxiv.2507.16039 · pith_short_12: 73LLGYKXA35A · pith_short_16: 73LLGYKXA35AOMQO · pith_short_8: 73LLGYKX

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/73LLGYKXA35AOMQO5UGZTE7FWO \
  | 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: fed6b3615706fa07320eed0d9993e5b39906a76963d3b35220110cb52b3b8718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4269d7f5f69bd76b8b7a6ebd328125c6b2a09ab394d08f44ac1e6e0a2d727036",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-21T20:13:02Z",
    "title_canon_sha256": "db3c25c45a7b63f7cc5995a9fad1dee30ad02336983a1b1447de1c192c54bd0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16039",
    "kind": "arxiv",
    "version": 2
  }
}