Pith Number

pith:PLGWDFUM

pith:2018:PLGWDFUMZDJQNEN53KW56QPARF

not attested not anchored not stored refs pending

Graph Oracle Models, Lower Bounds, and Gaps for Parallel Stochastic Optimization

Adam Smith, Blake Woodworth, Brendan McMahan, Jialei Wang, Nathan Srebro

arxiv:1805.10222 v3 · 2018-05-25 · math.OC · cs.LG · 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{PLGWDFUMZDJQNEN53KW56QPARF}

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	2026-05-17T23:54:24.869625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7acd61968cc8d30691bddaaddf41e089456cf43459cc776f32aefc989f03b787

Aliases

arxiv: 1805.10222 · arxiv_version: 1805.10222v3 · doi: 10.48550/arxiv.1805.10222 · pith_short_12: PLGWDFUMZDJQ · pith_short_16: PLGWDFUMZDJQNEN5 · pith_short_8: PLGWDFUM

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/PLGWDFUMZDJQNEN53KW56QPARF \
  | 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: 7acd61968cc8d30691bddaaddf41e089456cf43459cc776f32aefc989f03b787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4227c3c6003b4cee4ba3b856ee77ed1004034184f25092dcd1783c87bf90831e",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-25T16:06:09Z",
    "title_canon_sha256": "bbbf8d44185b92a4906913a5ac5762f33044ff4863a9f4a3f0e9700a733ab2a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10222",
    "kind": "arxiv",
    "version": 3
  }
}