Pith Number

pith:43A4N4M3

pith:2017:43A4N4M3ACCJ5K4KSL2J3VRGQE

not attested not anchored not stored refs pending

Momentum and Stochastic Momentum for Stochastic Gradient, Newton, Proximal Point and Subspace Descent Methods

Nicolas Loizou, Peter Richt\'arik

arxiv:1712.09677 v2 · 2017-12-27 · math.OC · cs.LG · cs.NA · math.NA · 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{43A4N4M3ACCJ5K4KSL2J3VRGQE}

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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

Heavy-ball Algorithms Always Escape Saddle Points

Receipt and verification

First computed	2026-05-18T00:19:53.201038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c1c6f19b00849eab8a92f49dd6268133932e0ab138a24b70fe68671e8bc186

Aliases

arxiv: 1712.09677 · arxiv_version: 1712.09677v2 · doi: 10.48550/arxiv.1712.09677 · pith_short_12: 43A4N4M3ACCJ · pith_short_16: 43A4N4M3ACCJ5K4K · pith_short_8: 43A4N4M3

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/43A4N4M3ACCJ5K4KSL2J3VRGQE \
  | 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: e6c1c6f19b00849eab8a92f49dd6268133932e0ab138a24b70fe68671e8bc186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4c099913ed87aa0a718e48f15db4b1a80d81d8454ad0b1589564bcb70b8f298",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-27T20:40:24Z",
    "title_canon_sha256": "72796094aacd430f343a62171248187596fb8066995cb56949ce70f8c2a258ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09677",
    "kind": "arxiv",
    "version": 2
  }
}