Pith Number

pith:C3LI7EC6

pith:2021:C3LI7EC66KVQ7ZKYWAOM4KDDMU

not attested not anchored not stored refs pending

Communication-Efficient Variance-Reduced Decentralized Stochastic Optimization over Time-Varying Directed Graphs

Abolfazl Hashemi, Haris Vikalo, Yiyue Chen

arxiv:2101.09583 v2 · 2021-01-23 · eess.SY · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3LI7EC66KVQ7ZKYWAOM4KDDMU}

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	2026-07-05T03:36:52.793363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16d68f905ef2ab0fe558b01cce28636530a23a05af815e1b3296c95087505603

Aliases

arxiv: 2101.09583 · arxiv_version: 2101.09583v2 · doi: 10.48550/arxiv.2101.09583 · pith_short_12: C3LI7EC66KVQ · pith_short_16: C3LI7EC66KVQ7ZKY · pith_short_8: C3LI7EC6

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/C3LI7EC66KVQ7ZKYWAOM4KDDMU \
  | 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: 16d68f905ef2ab0fe558b01cce28636530a23a05af815e1b3296c95087505603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8201af8e566659872fd45ea144068060bb80c23836ddd82a905ce677e524a617",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2021-01-23T20:53:35Z",
    "title_canon_sha256": "51779d16092e85f6cd2384c3b6b77f4a8dd2bd69a31ea3c4eb09b40578c9cb13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09583",
    "kind": "arxiv",
    "version": 2
  }
}