Pith Number

pith:QMWH7CQV

pith:2016:QMWH7CQVKOJ2IRBAPA7PQX5AEH

not attested not anchored not stored refs pending

A Fast Proximal Gradient Algorithm for Decentralized Composite Optimization over Directed Networks

Jinshan Zeng, Mingwen Wang, Tao He

arxiv:1609.03784 v4 · 2016-09-13 · cs.DC · 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{QMWH7CQVKOJ2IRBAPA7PQX5AEH}

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	2026-05-18T00:47:58.762122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

832c7f8a155393a44420783ef85fa021cfeb139913d0d8ea4d30416a355a37db

Aliases

arxiv: 1609.03784 · arxiv_version: 1609.03784v4 · doi: 10.48550/arxiv.1609.03784 · pith_short_12: QMWH7CQVKOJ2 · pith_short_16: QMWH7CQVKOJ2IRBA · pith_short_8: QMWH7CQV

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/QMWH7CQVKOJ2IRBAPA7PQX5AEH \
  | 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: 832c7f8a155393a44420783ef85fa021cfeb139913d0d8ea4d30416a355a37db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7347aa86350485e256f28625aff99404d67daa2e2b7ab31202e9b8d815e23abc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-09-13T11:49:36Z",
    "title_canon_sha256": "584a6bb2192e035dd8b63dd1c7ea96ea2f3bc1418bf0e9bb5637954dda6d83a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03784",
    "kind": "arxiv",
    "version": 4
  }
}