Pith Number

pith:CGEVZ6NK

pith:2020:CGEVZ6NK52TKQ2FCSHNG7K5U3F

not attested not anchored not stored refs pending

Noise and Fluctuation of Finite Learning Rate Stochastic Gradient Descent

Kangqiao Liu, Liu Ziyin, Masahito Ueda

arxiv:2012.03636 v4 · 2020-12-07 · stat.ML · 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{CGEVZ6NK52TKQ2FCSHNG7K5U3F}

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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

SGD as Free Energy Minimization: A Thermodynamic View on Neural Network Training

Receipt and verification

First computed	2026-07-05T02:48:20.226564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11895cf9aaeea6a868a291da6fabb4d97134559b8fdae5825c8e7e4e7a8776d4

Aliases

arxiv: 2012.03636 · arxiv_version: 2012.03636v4 · doi: 10.48550/arxiv.2012.03636 · pith_short_12: CGEVZ6NK52TK · pith_short_16: CGEVZ6NK52TKQ2FC · pith_short_8: CGEVZ6NK

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/CGEVZ6NK52TKQ2FCSHNG7K5U3F \
  | 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: 11895cf9aaeea6a868a291da6fabb4d97134559b8fdae5825c8e7e4e7a8776d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b8e705b76837c58ea81f42ed4165d9e9913b862fef425239bd7fb909af0670",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-12-07T12:31:43Z",
    "title_canon_sha256": "1c55c39328dda594c53897020b83bc96e541c1213a7cec2c63870fdca1e5e573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.03636",
    "kind": "arxiv",
    "version": 4
  }
}