Pith Number

pith:ZX4YW64E

pith:2026:ZX4YW64ERHGWNDMTZG3XXOK5EB

not attested not anchored not stored refs pending

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors

Alejandro Hern\'andez-Cano, Alexander H\"agele, Atli Kosson, Martin Jaggi

arxiv:2606.25971 v1 · 2026-06-24 · 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{ZX4YW64ERHGWNDMTZG3XXOK5EB}

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	2026-06-25T01:18:44.723013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdf98b7b8489cd668d93c9b77bb95d2077cbc7364038e39e2a24e3e10f685114

Aliases

arxiv: 2606.25971 · arxiv_version: 2606.25971v1 · doi: 10.48550/arxiv.2606.25971 · pith_short_12: ZX4YW64ERHGW · pith_short_16: ZX4YW64ERHGWNDMT · pith_short_8: ZX4YW64E

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/ZX4YW64ERHGWNDMTZG3XXOK5EB \
  | 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: cdf98b7b8489cd668d93c9b77bb95d2077cbc7364038e39e2a24e3e10f685114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb8ba070fa3b8c16a3df6517a93ca78e16e4f8c70b98707b7bcc09141475b3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-24T15:40:26Z",
    "title_canon_sha256": "a6aff06e6a024bba249f3dc92f28397b61d2e071416a3f361d385d2101f7c7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25971",
    "kind": "arxiv",
    "version": 1
  }
}