Pith Number

pith:RNDWNAZK

pith:2020:RNDWNAZKNU4WVGCSLDUJVXK6WY

not attested not anchored not stored refs pending

Reconciling Modern Deep Learning with Traditional Optimization Analyses: The Intrinsic Learning Rate

Kaifeng Lyu, Sanjeev Arora, Zhiyuan Li

arxiv:2010.02916 v1 · 2020-10-06 · 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{RNDWNAZKNU4WVGCSLDUJVXK6WY}

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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

Demystifying Manifold Constraints in LLM Pre-training

Receipt and verification

First computed	2026-07-05T01:40:54.925382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b4766832a6d396a985258e89add5eb6383d2fcf9d5f24e70971cc2e76fe7885

Aliases

arxiv: 2010.02916 · arxiv_version: 2010.02916v1 · doi: 10.48550/arxiv.2010.02916 · pith_short_12: RNDWNAZKNU4W · pith_short_16: RNDWNAZKNU4WVGCS · pith_short_8: RNDWNAZK

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/RNDWNAZKNU4WVGCSLDUJVXK6WY \
  | 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: 8b4766832a6d396a985258e89add5eb6383d2fcf9d5f24e70971cc2e76fe7885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acf09ce0da36b3d1f5cf73dc5be07f864961f1265bc61101f9e88dd72b69af9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-10-06T17:58:29Z",
    "title_canon_sha256": "0eb04bba1f99ba8714e797d81b9288034c6619bd837fcaacf125a564b758789c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.02916",
    "kind": "arxiv",
    "version": 1
  }
}