Pith Number

pith:KLG3S5JY

pith:2024:KLG3S5JYDSZWYR6CO7GA6TMC3G

not attested not anchored not stored refs pending

The Exploration of Neural Collapse under Imbalanced Data

Haixia Liu

arxiv:2411.17278 v1 · 2024-11-26 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLG3S5JYDSZWYR6CO7GA6TMC3G}

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 role of class encoding in neural collapse

Receipt and verification

First computed	2026-07-05T09:40:29.976161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cdb975381cb36c47c277cc0f4d82d99820316877f53e48e107ce21c62f887e

Aliases

arxiv: 2411.17278 · arxiv_version: 2411.17278v1 · doi: 10.48550/arxiv.2411.17278 · pith_short_12: KLG3S5JYDSZW · pith_short_16: KLG3S5JYDSZWYR6C · pith_short_8: KLG3S5JY

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/KLG3S5JYDSZWYR6CO7GA6TMC3G \
  | 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: 52cdb975381cb36c47c277cc0f4d82d99820316877f53e48e107ce21c62f887e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d34e76a2454ea203df6f441c56fbfe4b3874ebd1f63b3a8cb43107948579422",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-26T09:59:34Z",
    "title_canon_sha256": "1f36e3fbe9f8eec8c71900c13e62d7f6d24b23ac57d8e45be5d27da7a43e23b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17278",
    "kind": "arxiv",
    "version": 1
  }
}