Pith Number

pith:24KH5HCA

pith:2020:24KH5HCAVV3FO3KPCKU23LXBEN

not attested not anchored not stored refs pending

On the emergence of simplex symmetry in the final and penultimate layers of neural network classifiers

Stephan Wojtowytsch, Weinan E

arxiv:2012.05420 v3 · 2020-12-10 · cs.LG · stat.ML

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

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\usepackage{pith}
\pithnumber{24KH5HCAVV3FO3KPCKU23LXBEN}

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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

Enhancing Pre-Trained Model-Based Class-Incremental Learning through Neural Collapse

Receipt and verification

First computed	2026-07-05T02:46:11.242631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7147e9c40ad76576d4f12a9adaee1237c033b9910ea94016eeeb6c3eddf7a6c

Aliases

arxiv: 2012.05420 · arxiv_version: 2012.05420v3 · doi: 10.48550/arxiv.2012.05420 · pith_short_12: 24KH5HCAVV3F · pith_short_16: 24KH5HCAVV3FO3KP · pith_short_8: 24KH5HCA

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/24KH5HCAVV3FO3KPCKU23LXBEN \
  | 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: d7147e9c40ad76576d4f12a9adaee1237c033b9910ea94016eeeb6c3eddf7a6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600fc86cb7f14f8d286476c900059f29278069fed54f04989b93d72cbe87b29e",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-12-10T02:32:52Z",
    "title_canon_sha256": "feff0465e941f4354be9ae83f9cb1976e21fe96b08271a29db9f4ea107312159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05420",
    "kind": "arxiv",
    "version": 3
  }
}