Pith Number

pith:R27A5SSF

pith:2021:R27A5SSFFOOLEPA4GDQML2AWAK

not attested not anchored not stored refs pending

Lower Bounds and Optimal Algorithms for Smooth and Strongly Convex Decentralized Optimization Over Time-Varying Networks

Alexander Gasnikov, Dmitry Kovalev, Elnur Gasanov, Peter Richt\'arik

arxiv:2106.04469 v1 · 2021-06-08 · 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{R27A5SSFFOOLEPA4GDQML2AWAK}

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	2026-07-05T02:47:15.753372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebe0eca452b9cb23c1c30e0c5e81602afba410ac3024a804e4416a6b5afe0d6

Aliases

arxiv: 2106.04469 · arxiv_version: 2106.04469v1 · doi: 10.48550/arxiv.2106.04469 · pith_short_12: R27A5SSFFOOL · pith_short_16: R27A5SSFFOOLEPA4 · pith_short_8: R27A5SSF

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/R27A5SSFFOOLEPA4GDQML2AWAK \
  | 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: 8ebe0eca452b9cb23c1c30e0c5e81602afba410ac3024a804e4416a6b5afe0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ac9fa912f1a0745b6a95babaed0c30fce73836c8a810b3cbdbc329e9aa15d8",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-08T15:54:44Z",
    "title_canon_sha256": "3b64475fc08a5fbd323f932bc02568f8b9130ab94de8baac11e3d1f155925799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.04469",
    "kind": "arxiv",
    "version": 1
  }
}