Pith Number

pith:I3YWUJDG

pith:2018:I3YWUJDGEGSIK2VWBBWEZWMI2F

not attested not anchored not stored refs pending

Averaging Stochastic Gradient Descent on Riemannian Manifolds

Francis Bach, Michael I. Jordan, Nicolas Flammarion, Nilesh Tripuraneni

arxiv:1802.09128 v2 · 2018-02-26 · 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{I3YWUJDGEGSIK2VWBBWEZWMI2F}

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	2026-05-18T00:13:50.728271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f16a246621a4856ab6086c4cd988d1687b91f810c390290cf4e5c6b30fadb9

Aliases

arxiv: 1802.09128 · arxiv_version: 1802.09128v2 · doi: 10.48550/arxiv.1802.09128 · pith_short_12: I3YWUJDGEGSI · pith_short_16: I3YWUJDGEGSIK2VW · pith_short_8: I3YWUJDG

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/I3YWUJDGEGSIK2VWBBWEZWMI2F \
  | 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: 46f16a246621a4856ab6086c4cd988d1687b91f810c390290cf4e5c6b30fadb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9dc016e3cb899e2b93c1eb7f875719f74e7edf7bf4733f390ba35dc1063a687",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-02-26T02:05:06Z",
    "title_canon_sha256": "00a49313d47fbd7f52aa6085190e513ea5e559e922758cf9af4fb7e63603b6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09128",
    "kind": "arxiv",
    "version": 2
  }
}