Pith Number

pith:7KSFJSBC

pith:2026:7KSFJSBCK5VCJ6VYEJEUIODSHZ

not attested not anchored not stored refs pending

Decentralized Stochastic Subgradient-type Methods with Communication Compression for Nonsmooth Nonconvex Optimization

Nachuan Xiao, Siyuan Zhang, Xin Liu

arxiv:2607.01755 v1 · 2026-07-02 · math.OC · cs.AI · 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{7KSFJSBCK5VCJ6VYEJEUIODSHZ}

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	2026-07-03T01:17:28.597656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa454c822576a24fab822494438723e599086fa18a056b3fd243cedc7b9e090

Aliases

arxiv: 2607.01755 · arxiv_version: 2607.01755v1 · doi: 10.48550/arxiv.2607.01755 · pith_short_12: 7KSFJSBCK5VC · pith_short_16: 7KSFJSBCK5VCJ6VY · pith_short_8: 7KSFJSBC

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/7KSFJSBCK5VCJ6VYEJEUIODSHZ \
  | 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: faa454c822576a24fab822494438723e599086fa18a056b3fd243cedc7b9e090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f4518c6a6581f05d5dedc1400c58b39da67e49c9ba4f054e3af96cb75458cd",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-02T06:11:38Z",
    "title_canon_sha256": "3231f1193781e6f1663f8b49525f08cf840eb5ca91d50db2d318f56f910da7ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01755",
    "kind": "arxiv",
    "version": 1
  }
}