Pith Number

pith:NI3RNNCM

pith:2021:NI3RNNCMAWL2V7C4LVDKPGZJUP

not attested not anchored not stored refs pending

SGD with a Constant Large Learning Rate Can Converge to Local Maxima

Botao Li, James B. Simon, Liu Ziyin, Masahito Ueda

arxiv:2107.11774 v4 · 2021-07-25 · cs.LG · math.OC · 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{NI3RNNCMAWL2V7C4LVDKPGZJUP}

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	2026-07-05T06:14:33.018615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3716b44c0597aafc5c5d46a79b29a3fab199b073feaea21851b21717bc7cc9

Aliases

arxiv: 2107.11774 · arxiv_version: 2107.11774v4 · doi: 10.48550/arxiv.2107.11774 · pith_short_12: NI3RNNCMAWL2 · pith_short_16: NI3RNNCMAWL2V7C4 · pith_short_8: NI3RNNCM

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/NI3RNNCMAWL2V7C4LVDKPGZJUP \
  | 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: 6a3716b44c0597aafc5c5d46a79b29a3fab199b073feaea21851b21717bc7cc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb80ddb4a241eece55d93c200cf05c4cbfb9eff529cba35ffff975788b63ae9",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-07-25T10:12:18Z",
    "title_canon_sha256": "c782771213089cdc67c9b0813eb6a4b409cebd38e55f4decea8499381c33fb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11774",
    "kind": "arxiv",
    "version": 4
  }
}