Pith Number

pith:OC4RRL3N

pith:2023:OC4RRL3NR6MVJ2WSCVYWVCC6VC

not attested not anchored not stored refs pending

On the Robustness of Neural Collapse and the Neural Collapse of Robustness

Jingtong Su, Julia Kempe, Nikolaos Tsilivis, Ya Shi Zhang

arxiv:2311.07444 v2 · 2023-11-13 · 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{OC4RRL3NR6MVJ2WSCVYWVCC6VC}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:34:55.239005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b918af6d8f9954ead215716a885ea88ae512c3512410746d10da75fac35813

Aliases

arxiv: 2311.07444 · arxiv_version: 2311.07444v2 · doi: 10.48550/arxiv.2311.07444 · pith_short_12: OC4RRL3NR6MV · pith_short_16: OC4RRL3NR6MVJ2WS · pith_short_8: OC4RRL3N

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/OC4RRL3NR6MVJ2WSCVYWVCC6VC \
  | 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: 70b918af6d8f9954ead215716a885ea88ae512c3512410746d10da75fac35813

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0cce070e3eaca92333a61cbb307cd8d733c16cc2edfca6bc345a4d5c84c8cbe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-13T16:18:58Z",
    "title_canon_sha256": "fabe89d043e6ec230f1bd987b9fa9ee10b07c93c4afe206dcefd91b741aa41f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.07444",
    "kind": "arxiv",
    "version": 2
  }
}