pith. sign in
Pith Number

pith:FULVHT7G

pith:2018:FULVHT7GH7MXIJ63YFBF45K6DB
not attested not anchored not stored refs pending

Theory of Deep Learning IIb: Optimization Properties of SGD

Alexander Rakhlin, Brando Miranda, Chiyuan Zhang, Noah Golowich, Qianli Liao, Tomaso Poggio

arxiv:1801.02254 v1 · 2018-01-07 · cs.LG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FULVHT7GH7MXIJ63YFBF45K6DB}

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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 2026-05-18T00:26:32.305397Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d1753cfe63fd97427dbc1425e755e18564575a4b178d37eff2df8ea151273f7

Aliases

arxiv: 1801.02254 · arxiv_version: 1801.02254v1 · doi: 10.48550/arxiv.1801.02254 · pith_short_12: FULVHT7GH7MX · pith_short_16: FULVHT7GH7MXIJ63 · pith_short_8: FULVHT7G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FULVHT7GH7MXIJ63YFBF45K6DB \
  | 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: 2d1753cfe63fd97427dbc1425e755e18564575a4b178d37eff2df8ea151273f7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bb0481bcdc92713b08d6c5a2177c6a416a615d4c6a7cf4c890e962cb5c7507f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-01-07T21:43:28Z",
    "title_canon_sha256": "21c3555393e317923771bacad30f3870a59aa06a4eed6da96a797448e6b58be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02254",
    "kind": "arxiv",
    "version": 1
  }
}