Pith Number

pith:M6FCWYQU

pith:2018:M6FCWYQUQVFUE5G4QBKH2O5PYM

not attested not anchored not stored refs pending

On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization

Niao He, Siqi Zhang

arxiv:1806.04781 v1 · 2018-06-12 · 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{M6FCWYQUQVFUE5G4QBKH2O5PYM}

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	2026-05-18T00:13:20.901737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678a2b6214854b4274dc80547d3bafc309dffad81ef6a8bf499711887d7f7d87

Aliases

arxiv: 1806.04781 · arxiv_version: 1806.04781v1 · doi: 10.48550/arxiv.1806.04781 · pith_short_12: M6FCWYQUQVFU · pith_short_16: M6FCWYQUQVFUE5G4 · pith_short_8: M6FCWYQU

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/M6FCWYQUQVFUE5G4QBKH2O5PYM \
  | 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: 678a2b6214854b4274dc80547d3bafc309dffad81ef6a8bf499711887d7f7d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a845e12c366b00173ccde53fbfba5a26467331611f767f9993e0e82bbc887c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-06-12T21:56:48Z",
    "title_canon_sha256": "8891c2a2de1e785cca1d245406f1ea0ee898c840a1fe76c3e01f34013b53bb4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04781",
    "kind": "arxiv",
    "version": 1
  }
}