Pith Number

pith:EX5275ZF

pith:2023:EX5275ZFOSP3GFXWWSALVD3VUQ

not attested not anchored not stored refs pending

Neural Collapse for Unconstrained Feature Model under Cross-entropy Loss with Imbalanced Data

Shuyang Ling, Wanli Hong

arxiv:2309.09725 v2 · 2023-09-18 · stat.ML · cs.LG · math.OC

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\usepackage{pith}
\pithnumber{EX5275ZFOSP3GFXWWSALVD3VUQ}

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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

4 papers in Pith

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

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension

Rethinking Loss Reweighting for Imbalance Learning as an Inverse Problem: A Neural Collapse Point of View

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

Receipt and verification

First computed	2026-07-05T07:04:50.611137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25fbaff725749fb316f6b480ba8f75a4272a061bdfe6d2c3b9d67e9fb551b9c1

Aliases

arxiv: 2309.09725 · arxiv_version: 2309.09725v2 · doi: 10.48550/arxiv.2309.09725 · pith_short_12: EX5275ZFOSP3 · pith_short_16: EX5275ZFOSP3GFXW · pith_short_8: EX5275ZF

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/EX5275ZFOSP3GFXWWSALVD3VUQ \
  | 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: 25fbaff725749fb316f6b480ba8f75a4272a061bdfe6d2c3b9d67e9fb551b9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199188bda5c6be0bf7a036279a2833d3fdc6f75cbd63f92f963fcdadf7fbff9d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-09-18T12:45:08Z",
    "title_canon_sha256": "4a12b7e36e935405c9eff5167d318236a85064add34c9e74da1324a3106e15b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09725",
    "kind": "arxiv",
    "version": 2
  }
}