Pith Number

pith:Z7XYPESS

pith:2023:Z7XYPESSTIV4FC4ZJROVZFRDGT

not attested not anchored not stored refs pending

Neural Collapse in Deep Linear Networks: From Balanced to Imbalanced Data

Hien Dang, Hung Tran-The, Nhat Ho, Stanley Osher, Tan Nguyen, Tho Tran

arxiv:2301.00437 v5 · 2023-01-01 · cs.LG · 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{Z7XYPESSTIV4FC4ZJROVZFRDGT}

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

Optimal Representations for Generalized Contrastive Learning with Imbalanced Datasets

How Label Imbalance Shapes Geometry: A General Spectral Analysis of Multi-Label Neural Collapse

Receipt and verification

First computed	2026-07-05T06:21:30.140876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfef8792529a2bc28b994c5d5c962334ef4a6dcba0af50406359ccf7b74a9258

Aliases

arxiv: 2301.00437 · arxiv_version: 2301.00437v5 · doi: 10.48550/arxiv.2301.00437 · pith_short_12: Z7XYPESSTIV4 · pith_short_16: Z7XYPESSTIV4FC4Z · pith_short_8: Z7XYPESS

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/Z7XYPESSTIV4FC4ZJROVZFRDGT \
  | 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: cfef8792529a2bc28b994c5d5c962334ef4a6dcba0af50406359ccf7b74a9258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1f0929abce2f4b069b01c1ed15a127034826e4305d501b5f28008cabb68a6e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-01-01T16:29:56Z",
    "title_canon_sha256": "2d7446c5658e485b6bd5b5b18db2be79077c29eea9f3c36b08de59d31b310353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00437",
    "kind": "arxiv",
    "version": 5
  }
}