Pith Number

pith:RRD6MJ6H

pith:2025:RRD6MJ6HRGHR5KIN2XJNRT6G6J

not attested not anchored not stored refs pending

Federated Calculation of the Free-Support Transportation Barycenter by Single-Loop Dual Decomposition

Andrzej Ruszczy\'nski, Zhengqi Lin

arxiv:2507.19627 v1 · 2025-07-25 · cs.LG · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRD6MJ6HRGHR5KIN2XJNRT6G6J}

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	2026-07-05T11:43:37.889339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c47e627c7898f1ea90dd5d2d8cfc6f24ae86c1449773f08d6f3df55a406c172

Aliases

arxiv: 2507.19627 · arxiv_version: 2507.19627v1 · doi: 10.48550/arxiv.2507.19627 · pith_short_12: RRD6MJ6HRGHR · pith_short_16: RRD6MJ6HRGHR5KIN · pith_short_8: RRD6MJ6H

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/RRD6MJ6HRGHR5KIN2XJNRT6G6J \
  | 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: 8c47e627c7898f1ea90dd5d2d8cfc6f24ae86c1449773f08d6f3df55a406c172

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0001786dfd47f201c26bea2e89e62223068b85bb7d092626accc65f2af13bc09",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-25T18:54:25Z",
    "title_canon_sha256": "45135e6eb3aa3a48449d081e340b35c5cfd4f536091d533dd1d091b5493d797e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19627",
    "kind": "arxiv",
    "version": 1
  }
}