Pith Number

pith:HNTJ5QL3

pith:2026:HNTJ5QL3ULZKW4CC342BSRYLRC

not attested not anchored not stored refs pending

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay

Xiaolong Li, Zhangchen Zhou, Zhi-Qin John Xu

arxiv:2607.21005 v1 · 2026-07-23 · cs.LG · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNTJ5QL3ULZKW4CC342BSRYLRC}

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	2026-07-24T01:23:46.946835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b669ec17ba2f2ab7042df3419470b88b8ef99e63ad36230dd7619c9faea48a2

Aliases

arxiv: 2607.21005 · arxiv_version: 2607.21005v1 · doi: 10.48550/arxiv.2607.21005 · pith_short_12: HNTJ5QL3ULZK · pith_short_16: HNTJ5QL3ULZKW4CC · pith_short_8: HNTJ5QL3

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/HNTJ5QL3ULZKW4CC342BSRYLRC \
  | 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: 3b669ec17ba2f2ab7042df3419470b88b8ef99e63ad36230dd7619c9faea48a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f44325b6654b3266a3f061494187d2170a7d9a05eec805c700121b8f97356b9",
    "cross_cats_sorted": [
      "cs.NE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-23T07:39:03Z",
    "title_canon_sha256": "c8a991cb7bab2c8d71c52de70013e84c15b28701dd062997558faef5c6e4972b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21005",
    "kind": "arxiv",
    "version": 1
  }
}