Pith Number

pith:SO3W752I

pith:2026:SO3W752IR6TW74CTGVKPLOHZAP

not attested not anchored not stored refs pending

Variance-Reduced Conditional Gradient Methods under Markovian Sampling for Nonconvex Composite Optimization

Zhaojun Peng

arxiv:2607.25785 v1 · 2026-07-28 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SO3W752IR6TW74CTGVKPLOHZAP}

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	2026-07-29T01:26:02.441811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b76ff7488fa76ff0533554f5b8f903eb21efb1c9327fb97ab683c8e7917177

Aliases

arxiv: 2607.25785 · arxiv_version: 2607.25785v1 · doi: 10.48550/arxiv.2607.25785 · pith_short_12: SO3W752IR6TW · pith_short_16: SO3W752IR6TW74CT · pith_short_8: SO3W752I

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/SO3W752IR6TW74CTGVKPLOHZAP \
  | 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: 93b76ff7488fa76ff0533554f5b8f903eb21efb1c9327fb97ab683c8e7917177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d6a8123a72c42be719542cc82977843f7f6595543523ad635e873d74df7b52",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-28T14:37:47Z",
    "title_canon_sha256": "a518b8cf0bb9bfe7db60cfa4d730087d0ef70aad0a5207d596e59ec0e24d6b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25785",
    "kind": "arxiv",
    "version": 1
  }
}