Pith Number

pith:XO27GVMY

pith:2016:XO27GVMYFLI2ZEGDOLPGHOIMBL

not attested not anchored not stored refs pending

Stochastic Variance Reduction Methods for Saddle-Point Problems

Francis Bach (SIERRA, LIENS), P Balamurugan (SIERRA

arxiv:1605.06398 v2 · 2016-05-20 · cs.LG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XO27GVMYFLI2ZEGDOLPGHOIMBL}

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	2026-05-18T01:00:19.355138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb5f355982ad1ac90c372de63b90c0ae1a77721d629703175d6f8f96ceb5fe2

Aliases

arxiv: 1605.06398 · arxiv_version: 1605.06398v2 · doi: 10.48550/arxiv.1605.06398 · pith_short_12: XO27GVMYFLI2 · pith_short_16: XO27GVMYFLI2ZEGD · pith_short_8: XO27GVMY

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/XO27GVMYFLI2ZEGDOLPGHOIMBL \
  | 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: bbb5f355982ad1ac90c372de63b90c0ae1a77721d629703175d6f8f96ceb5fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6628a7c987e4bf179d888b3a7c18d4984afa815563945c7f296d0974b90e07ee",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-05-20T15:16:29Z",
    "title_canon_sha256": "5e96b68c0aaabfec7e663f3b29e00a0a245dcce24266fd384c4f984bd864f5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06398",
    "kind": "arxiv",
    "version": 2
  }
}