Pith Number

pith:BBQMGSUY

pith:2023:BBQMGSUYC3XOG5VC3NSDOXQG2B

not attested not anchored not stored refs pending

Depth Dependence of $\mu$P Learning Rates in ReLU MLPs

Boris Hanin, Samy Jelassi, Sanjiv Kumar, Sashank J. Reddi, Srinadh Bhojanapalli, Ziwei Ji

arxiv:2305.07810 v1 · 2023-05-13 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBQMGSUYC3XOG5VC3NSDOXQG2B}

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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.

Receipt and verification

First computed	2026-07-05T06:09:54.228916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0860c34a9816eee376a2db64375e06d075541cccf047ad4cbf5b9f5bfe4fae1a

Aliases

arxiv: 2305.07810 · arxiv_version: 2305.07810v1 · doi: 10.48550/arxiv.2305.07810 · pith_short_12: BBQMGSUYC3XO · pith_short_16: BBQMGSUYC3XOG5VC · pith_short_8: BBQMGSUY

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/BBQMGSUYC3XOG5VC3NSDOXQG2B \
  | 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: 0860c34a9816eee376a2db64375e06d075541cccf047ad4cbf5b9f5bfe4fae1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3b0a87345bfc1810f1bfc0c6193f025c45b893b80c23decab10b122a8f24b3",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-05-13T01:10:49Z",
    "title_canon_sha256": "ec67ca71010f4120068051eeba7cf12f4d5728cebcf8acc72e04299b59096f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07810",
    "kind": "arxiv",
    "version": 1
  }
}