Pith Number

pith:VDG7VF3J

pith:2012:VDG7VF3JVQKVIPUYN2TNREALZJ

not attested not anchored not stored refs pending

A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method

Francis Bach, Mark Schmidt, Simon Lacoste-Julien

arxiv:1212.2002 v2 · 2012-12-10 · 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{VDG7VF3JVQKVIPUYN2TNREALZJ}

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.

Cited by

3 papers in Pith

Factor Augmented High-Dimensional SGD

Robust Learning Meets Quasar-Convex Optimization: Inexact High-Order Proximal-Point Methods

Gradient Descent's Last Iterate is Often (slightly) Suboptimal

Receipt and verification

First computed	2026-05-18T03:38:03.337459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8cdfa9769ac15543e986ea6d8900bca78b3a2e2c9e652d4c3eb1cc9698f2d78

Aliases

arxiv: 1212.2002 · arxiv_version: 1212.2002v2 · doi: 10.48550/arxiv.1212.2002 · pith_short_12: VDG7VF3JVQKV · pith_short_16: VDG7VF3JVQKVIPUY · pith_short_8: VDG7VF3J

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/VDG7VF3JVQKVIPUYN2TNREALZJ \
  | 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: a8cdfa9769ac15543e986ea6d8900bca78b3a2e2c9e652d4c3eb1cc9698f2d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7119e9ea8730f2a97a3c8e45143c40a93bf5fc0d17d5f627b838ade148c65fed",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-12-10T09:22:06Z",
    "title_canon_sha256": "e601017dc952cfffac7c16eede9a7868de8dc2ccf0b20dc75927767f53549bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2002",
    "kind": "arxiv",
    "version": 2
  }
}