Pith Number

pith:KCNVS6PD

pith:2017:KCNVS6PDAP3CDIIK4WCVUOSDI4

not attested not anchored not stored refs pending

A Markov Chain Theory Approach to Characterizing the Minimax Optimality of Stochastic Gradient Descent (for Least Squares)

Aaron Sidford, Praneeth Netrapalli, Prateek Jain, Rahul Kidambi, Sham M. Kakade, Venkata Krishna Pillutla

arxiv:1710.09430 v2 · 2017-10-25 · stat.ML · 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{KCNVS6PDAP3CDIIK4WCVUOSDI4}

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	2026-05-18T00:10:11.178300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509b5979e303f621a10ae5855a3a43470a1c575a44453e4f13960d161ac7468d

Aliases

arxiv: 1710.09430 · arxiv_version: 1710.09430v2 · doi: 10.48550/arxiv.1710.09430 · pith_short_12: KCNVS6PDAP3C · pith_short_16: KCNVS6PDAP3CDIIK · pith_short_8: KCNVS6PD

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/KCNVS6PDAP3CDIIK4WCVUOSDI4 \
  | 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: 509b5979e303f621a10ae5855a3a43470a1c575a44453e4f13960d161ac7468d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7668b2d830e839f144eee68b05641c473a8df826cd5d9ffd948d02f58f51091b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-10-25T19:28:13Z",
    "title_canon_sha256": "c58138d8dbcd3b24c8336fe166bf4f184670c49c2632c671268f79e703784fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09430",
    "kind": "arxiv",
    "version": 2
  }
}