Pith Number

pith:OEU2TEKC

pith:2019:OEU2TEKCGHBKQF3F5AJ4KTWBXD

not attested not anchored not stored refs pending

A General Analysis Framework of Lower Complexity Bounds for Finite-Sum Optimization

Guangzeng Xie, Luo Luo, Zhihua Zhang

arxiv:1908.08394 v1 · 2019-08-22 · 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{OEU2TEKCGHBKQF3F5AJ4KTWBXD}

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	2026-07-04T23:59:12.474212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7129a9914231c2a81765e813c54ec1b8e76f3c553fccc86c0fc6783200454b82

Aliases

arxiv: 1908.08394 · arxiv_version: 1908.08394v1 · doi: 10.48550/arxiv.1908.08394 · pith_short_12: OEU2TEKCGHBK · pith_short_16: OEU2TEKCGHBKQF3F · pith_short_8: OEU2TEKC

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/OEU2TEKCGHBKQF3F5AJ4KTWBXD \
  | 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: 7129a9914231c2a81765e813c54ec1b8e76f3c553fccc86c0fc6783200454b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea594aa85bf55f54bc7132bb0067763708569ae96765ced5858ea677e3d0c9e",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-22T14:02:46Z",
    "title_canon_sha256": "f7b981f2754e3ce870c0e404f040716dad418839401d11fb892098aed5f3e31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08394",
    "kind": "arxiv",
    "version": 1
  }
}