Pith Number

pith:LTYWVBHG

pith:2023:LTYWVBHGSKNPSRPTN7TPBWGXQ5

not attested not anchored not stored refs pending

Towards Understanding Neural Collapse: The Effects of Batch Normalization and Weight Decay

Leyan Pan, Xinyuan Cao

arxiv:2309.04644 v3 · 2023-09-09 · 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{LTYWVBHGSKNPSRPTN7TPBWGXQ5}

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.

Receipt and verification

First computed	2026-07-05T09:03:16.430538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf16a84e6929af945f36fe6f0d8d7877bc0c714840ae357b60405f7289e084b

Aliases

arxiv: 2309.04644 · arxiv_version: 2309.04644v3 · doi: 10.48550/arxiv.2309.04644 · pith_short_12: LTYWVBHGSKNP · pith_short_16: LTYWVBHGSKNPSRPT · pith_short_8: LTYWVBHG

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/LTYWVBHGSKNPSRPTN7TPBWGXQ5 \
  | 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: 5cf16a84e6929af945f36fe6f0d8d7877bc0c714840ae357b60405f7289e084b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6d17d143fbc8daca03d3a5c96f38d43f762f18756a4a1d43a39d582ba5c383",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-09-09T00:05:45Z",
    "title_canon_sha256": "6e2cbb0d779798373288c835a31ed6b41b632b225d4d5129a480cbb70c15f983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04644",
    "kind": "arxiv",
    "version": 3
  }
}