Pith Number

pith:GDO6FXWB

pith:2024:GDO6FXWBKHIL32XWSLTPG4SWCI

not attested not anchored not stored refs pending

Beyond Unconstrained Features: Neural Collapse for Shallow Neural Networks with General Data

Shuyang Ling, Wanli Hong

arxiv:2409.01832 v2 · 2024-09-03 · stat.ML · 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{GDO6FXWBKHIL32XWSLTPG4SWCI}

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

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Receipt and verification

First computed	2026-07-05T09:03:56.106598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30dde2dec151d0bdeaf692e6f37256121a3373e33874af8c1455f642432a082a

Aliases

arxiv: 2409.01832 · arxiv_version: 2409.01832v2 · doi: 10.48550/arxiv.2409.01832 · pith_short_12: GDO6FXWBKHIL · pith_short_16: GDO6FXWBKHIL32XW · pith_short_8: GDO6FXWB

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/GDO6FXWBKHIL32XWSLTPG4SWCI \
  | 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: 30dde2dec151d0bdeaf692e6f37256121a3373e33874af8c1455f642432a082a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781c473886ca299035a03799f9ffd40111863dbae008f748d0a4cacf54a371b3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-09-03T12:30:21Z",
    "title_canon_sha256": "5f0206b26a4baca46788299e545cb1284cd8a6180ef40ffaf057d46d7038a8dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01832",
    "kind": "arxiv",
    "version": 2
  }
}