Pith Number

pith:PJLEFR6N

pith:2019:PJLEFR6NFSGHQZG23B5HHLMLN4

not attested not anchored not stored refs pending

Variance-Reduced Decentralized Stochastic Optimization with Gradient Tracking--Part I: GT-SAGA

Ran Xin, Soummya Kar, Usman A. Khan

arxiv:1909.11774 v3 · 2019-09-25 · 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{PJLEFR6NFSGHQZG23B5HHLMLN4}

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	2026-07-05T00:25:28.621766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5642c7cd2c8c7864dad87a73ad8b6f1f753d3b3582c644396f6509dc1f5102

Aliases

arxiv: 1909.11774 · arxiv_version: 1909.11774v3 · doi: 10.48550/arxiv.1909.11774 · pith_short_12: PJLEFR6NFSGH · pith_short_16: PJLEFR6NFSGHQZG2 · pith_short_8: PJLEFR6N

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/PJLEFR6NFSGHQZG23B5HHLMLN4 \
  | 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: 7a5642c7cd2c8c7864dad87a73ad8b6f1f753d3b3582c644396f6509dc1f5102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47bcd00a18df103d9fb6ecb03fc3be6a0c28571154caeef6bcab2d59d9ea645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-09-25T21:09:29Z",
    "title_canon_sha256": "f741d1f48186935e9ac2f729d843e7839cb88ab518d6659113472920461ccde5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11774",
    "kind": "arxiv",
    "version": 3
  }
}