Pith Number

pith:HG7GB7OZ

pith:2024:HG7GB7OZROEL2BM735CW6CHYF6

not attested not anchored not stored refs pending

From Spikes to Heavy Tails: Unveiling the Spectral Evolution of Neural Networks

Shenyang Deng, Tianyu Pang, Vignesh Kothapalli, Yaoqing Yang, Zongmin Liu

arxiv:2406.04657 v3 · 2024-06-07 · cs.LG · cs.AI · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HG7GB7OZROEL2BM735CW6CHYF6}

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

1 paper in Pith

AlphaQ: Calibration-Free Bit Allocation for Mixture-of-Experts Quantization

Receipt and verification

First computed	2026-07-05T11:51:15.929410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39be60fdd98b88bd059fdf456f08f82f817fb5dd6ef3be407e3ba010aa92a4ff

Aliases

arxiv: 2406.04657 · arxiv_version: 2406.04657v3 · doi: 10.48550/arxiv.2406.04657 · pith_short_12: HG7GB7OZROEL · pith_short_16: HG7GB7OZROEL2BM7 · pith_short_8: HG7GB7OZ

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/HG7GB7OZROEL2BM735CW6CHYF6 \
  | 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: 39be60fdd98b88bd059fdf456f08f82f817fb5dd6ef3be407e3ba010aa92a4ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade94990599236f03105bc4579d1fa272e9cb086ef63fab6c832e563ec11672d",
    "cross_cats_sorted": [
      "cs.AI",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-07T05:51:57Z",
    "title_canon_sha256": "6e500b7051c24d53975fa7a318d5376291c3376c28e2e3b22de5b93ebde5d517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.04657",
    "kind": "arxiv",
    "version": 3
  }
}