Pith Number

pith:CAG3K3HJ

pith:2017:CAG3K3HJ6BQNTNF3NDJPZCBTP6

not attested not anchored not stored refs pending

Stochastic Non-convex Optimization with Strong High Probability Second-order Convergence

Mingrui Liu, Tianbao Yang

arxiv:1710.09447 v2 · 2017-10-25 · 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{CAG3K3HJ6BQNTNF3NDJPZCBTP6}

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	2026-05-18T00:31:35.495892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100db56ce9f060d9b4bb68d2fc88337f87fc95df8975782307de31b6da4f5beb

Aliases

arxiv: 1710.09447 · arxiv_version: 1710.09447v2 · doi: 10.48550/arxiv.1710.09447 · pith_short_12: CAG3K3HJ6BQN · pith_short_16: CAG3K3HJ6BQNTNF3 · pith_short_8: CAG3K3HJ

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/CAG3K3HJ6BQNTNF3NDJPZCBTP6 \
  | 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: 100db56ce9f060d9b4bb68d2fc88337f87fc95df8975782307de31b6da4f5beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d9ae554279b5c32c1467597a1f5e4a3b6c36dd3b92cf662555fb7e4b3fba43e",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-10-25T20:26:33Z",
    "title_canon_sha256": "a2579cfabb486afad7012baa2f2832dcedc876eab14d5d33de39fe9d83a07c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09447",
    "kind": "arxiv",
    "version": 2
  }
}