Pith Number

pith:QXXUHJJ2

pith:2021:QXXUHJJ2Q2UEEEEFPRIDQK3XT6

not attested not anchored not stored refs pending

Decentralized Stochastic Proximal Gradient Descent with Variance Reduction over Time-varying Networks

Jessie Hui Wang, John C.S. Lui, Xin Wang, Xuanjie Li, Yuedong Xu

arxiv:2112.10389 v2 · 2021-12-20 · cs.LG · cs.NI · 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{QXXUHJJ2Q2UEEEEFPRIDQK3XT6}

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	2026-07-05T03:50:53.219154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ef43a53a86a84210857c50382b779fb1895bab5fae9ffdaddfc5bb6a2c754e

Aliases

arxiv: 2112.10389 · arxiv_version: 2112.10389v2 · doi: 10.48550/arxiv.2112.10389 · pith_short_12: QXXUHJJ2Q2UE · pith_short_16: QXXUHJJ2Q2UEEEEF · pith_short_8: QXXUHJJ2

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/QXXUHJJ2Q2UEEEEFPRIDQK3XT6 \
  | 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: 85ef43a53a86a84210857c50382b779fb1895bab5fae9ffdaddfc5bb6a2c754e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3419bed2e1fafb0b4ebc7409e77573adfe1b53394af059ebe2fcbcc33c089cdf",
    "cross_cats_sorted": [
      "cs.NI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-20T08:23:36Z",
    "title_canon_sha256": "01cadf3edfee87b4ea9329742acc70ba994d3e424bd0dfc381aa2fd160d120e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10389",
    "kind": "arxiv",
    "version": 2
  }
}