pith. sign in
Pith Number

pith:JVB6JDCS

pith:2016:JVB6JDCSX3IFDZJCIZOAGA7M57
not attested not anchored not stored refs pending

Unified Convergence Analysis of Stochastic Momentum Methods for Convex and Non-convex Optimization

Qihang Lin, Tianbao Yang, Zhe Li

arxiv:1604.03257 v2 · 2016-04-12 · math.OC · stat.ML

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JVB6JDCSX3IFDZJCIZOAGA7M57}

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 2026-05-18T01:15:33.932413Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4d43e48c52bed051e522465c0303ecefcda2b7d3638b9f78488101dedd94be52

Aliases

arxiv: 1604.03257 · arxiv_version: 1604.03257v2 · doi: 10.48550/arxiv.1604.03257 · pith_short_12: JVB6JDCSX3IF · pith_short_16: JVB6JDCSX3IFDZJC · pith_short_8: JVB6JDCS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JVB6JDCSX3IFDZJCIZOAGA7M57 \
  | 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: 4d43e48c52bed051e522465c0303ecefcda2b7d3638b9f78488101dedd94be52
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2b0b37bb0cd489bc71566624c1f17ed7f846717779655baa2961e9754c165ee7",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-12T06:24:19Z",
    "title_canon_sha256": "bbe9efd19906746370aa65eaec99e968fa5e823559eb2610ae30921668ac8ea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03257",
    "kind": "arxiv",
    "version": 2
  }
}