Pith Number

pith:JJKUIVA2

pith:2013:JJKUIVA2BLETYKJ3GAQDJMJ2R3

not attested not anchored not stored refs pending

Online and Stochastic Universal Gradient Methods for Minimizing Regularized H\"older Continuous Finite Sums

Rujie Liu, Ziqiang Shi

arxiv:1311.3832 v5 · 2013-11-15 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJKUIVA2BLETYKJ3GAQDJMJ2R3}

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	2026-05-18T02:39:09.009054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5544541a0ac93c293b302034b13a8ef0f4a6276a7544644c16995b2b45b7f6

Aliases

arxiv: 1311.3832 · arxiv_version: 1311.3832v5 · doi: 10.48550/arxiv.1311.3832 · pith_short_12: JJKUIVA2BLET · pith_short_16: JJKUIVA2BLETYKJ3 · pith_short_8: JJKUIVA2

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/JJKUIVA2BLETYKJ3GAQDJMJ2R3 \
  | 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: 4a5544541a0ac93c293b302034b13a8ef0f4a6276a7544644c16995b2b45b7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2404f35d107ed2fefd40ba11d12e2e52933d72ca1e8dab41d568c4f2dfcc4109",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-15T12:48:17Z",
    "title_canon_sha256": "d1051e235e1a64dd64ab05e2e114cc83eee027ddf0405805da5c02056de58587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3832",
    "kind": "arxiv",
    "version": 5
  }
}