Pith Number

pith:K5N7JDUY

pith:2017:K5N7JDUYKOLU6VWHVI6TNBUO4X

not attested not anchored not stored refs pending

Bridging the Gap between Constant Step Size Stochastic Gradient Descent and Markov Chains

Alain Durmus (CMLA), Aymeric Dieuleveut (SIERRA, Francis Bach (SIERRA), LIENS)

arxiv:1707.06386 v2 · 2017-07-20 · stat.ML · 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{K5N7JDUYKOLU6VWHVI6TNBUO4X}

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	2026-05-18T00:18:46.430809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575bf48e9853974f56c7aa3d36868ee5eda41e8dfd9a68956e21be7ee3b60095

Aliases

arxiv: 1707.06386 · arxiv_version: 1707.06386v2 · doi: 10.48550/arxiv.1707.06386 · pith_short_12: K5N7JDUYKOLU · pith_short_16: K5N7JDUYKOLU6VWH · pith_short_8: K5N7JDUY

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/K5N7JDUYKOLU6VWHVI6TNBUO4X \
  | 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: 575bf48e9853974f56c7aa3d36868ee5eda41e8dfd9a68956e21be7ee3b60095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e932feb23e6e70803ee7d2409de91f3179a32ae932b43684c994b45f2c19b03",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-07-20T06:31:22Z",
    "title_canon_sha256": "b9c51ff27212bd348cf26d96c5be2370d49c1f6be16bb12cfcdeee762367236b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06386",
    "kind": "arxiv",
    "version": 2
  }
}