Pith Number

pith:CKPFUA2T

pith:2026:CKPFUA2TUWQVB3VWFFIHKXDWY6

not attested not anchored not stored refs pending

Accelerated Decentralized Stochastic Gradient Descent for Strongly Convex Optimization

Kun Yuan, Ming Sun

arxiv:2606.07496 v1 · 2026-06-05 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKPFUA2TUWQVB3VWFFIHKXDWY6}

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	2026-06-08T01:05:30.376809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129e5a0353a5a150eeb62950755c76c7a5b303603d8d32cc5a83eb2b2797c796

Aliases

arxiv: 2606.07496 · arxiv_version: 2606.07496v1 · doi: 10.48550/arxiv.2606.07496 · pith_short_12: CKPFUA2TUWQV · pith_short_16: CKPFUA2TUWQVB3VW · pith_short_8: CKPFUA2T

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/CKPFUA2TUWQVB3VWFFIHKXDWY6 \
  | 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: 129e5a0353a5a150eeb62950755c76c7a5b303603d8d32cc5a83eb2b2797c796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea825b503d2b1ba16b6400e90162aa4bdcc3c7a798cccb12aa94531435a13d7",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-05T17:51:11Z",
    "title_canon_sha256": "c2c0cdb29d7ecca045f536e24c78769566115887515e9017b8ec7799394e5621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07496",
    "kind": "arxiv",
    "version": 1
  }
}