Pith Number

pith:CYEJQUMA

pith:2025:CYEJQUMA4BWG3SRHBI45LBVPN6

not attested not anchored not stored refs pending

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers

Christoph H. Lampert, Marco Mondelli, Peter S\'uken\'ik

arxiv:2505.15239 v1 · 2025-05-21 · cs.LG · cs.AI · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYEJQUMA4BWG3SRHBI45LBVPN6}

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

2 papers in Pith

Structure Before Collapse: Transient semantic geometry in next-token prediction

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension

Receipt and verification

First computed	2026-07-05T11:06:42.572828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1608985180e06c6dca270a39d586af6f97f3d182c0c97f0d0c546c059d4e165b

Aliases

arxiv: 2505.15239 · arxiv_version: 2505.15239v1 · doi: 10.48550/arxiv.2505.15239 · pith_short_12: CYEJQUMA4BWG · pith_short_16: CYEJQUMA4BWG3SRH · pith_short_8: CYEJQUMA

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/CYEJQUMA4BWG3SRHBI45LBVPN6 \
  | 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: 1608985180e06c6dca270a39d586af6f97f3d182c0c97f0d0c546c059d4e165b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34516a65b5039ec1ab6f8f30869c76d39a9d0cd50c45e8b86b3b99158d8aa1c1",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-21T08:16:03Z",
    "title_canon_sha256": "41fa679f943c97b1b1ba845537ad4424df889cd6bc273cd8fa571edafbfb6608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15239",
    "kind": "arxiv",
    "version": 1
  }
}