Pith Number

pith:WPCMEDHF

pith:2025:WPCMEDHFQ6F4XIBQRI764XO5IV

not attested not anchored not stored refs pending

Riemannian EXTRA: Communication-efficient decentralized optimization over compact submanifolds with data heterogeneity

Jiang Hu, Jiayuan Wu, Weijie Su, Zaiwen Wen, Zhanwang Deng

arxiv:2505.15537 v1 · 2025-05-21 · 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{WPCMEDHFQ6F4XIBQRI764XO5IV}

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.

Cited by

1 paper in Pith

A Retraction-Free EXTRA Method for Decentralized Optimization on the Stiefel Manifold

Receipt and verification

First computed	2026-07-05T11:06:47.441419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c4c20ce5878bcba0308a3fee5ddd45646299e72aff2f527a38c85cd11154ea

Aliases

arxiv: 2505.15537 · arxiv_version: 2505.15537v1 · doi: 10.48550/arxiv.2505.15537 · pith_short_12: WPCMEDHFQ6F4 · pith_short_16: WPCMEDHFQ6F4XIBQ · pith_short_8: WPCMEDHF

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/WPCMEDHFQ6F4XIBQRI764XO5IV \
  | 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: b3c4c20ce5878bcba0308a3fee5ddd45646299e72aff2f527a38c85cd11154ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dcf9565f3e7b445b2e9cbf323f7484f5803a01614f63e792a602141a5ff706f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-21T13:58:13Z",
    "title_canon_sha256": "6e7c65efd4ae1ebebdb3e64d5977a239a9cc53d248be1ae1706ab9066648874a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15537",
    "kind": "arxiv",
    "version": 1
  }
}