Pith Number

pith:POD3WS6C

pith:2015:POD3WS6CC7FFMQAWTMZ62BSN6J

not attested not anchored not stored refs pending

A Smoothed Dual Approach for Variational Wasserstein Problems

Gabriel Peyr\'e, Marco Cuturi

arxiv:1503.02533 v2 · 2015-03-09 · stat.ML · 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{POD3WS6CC7FFMQAWTMZ62BSN6J}

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	2026-05-18T01:34:50.363095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b87bb4bc217ca5640169b33ed064df247e1a02f612abd4289a998b62808ad1e

Aliases

arxiv: 1503.02533 · arxiv_version: 1503.02533v2 · doi: 10.48550/arxiv.1503.02533 · pith_short_12: POD3WS6CC7FF · pith_short_16: POD3WS6CC7FFMQAW · pith_short_8: POD3WS6C

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/POD3WS6CC7FFMQAWTMZ62BSN6J \
  | 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: 7b87bb4bc217ca5640169b33ed064df247e1a02f612abd4289a998b62808ad1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b1a32154073f7ff8488bac48a76fb2b88c7d58faf854ac32af47965e07305b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-03-09T15:49:21Z",
    "title_canon_sha256": "174b584396e9919b3362962d5eab3b6b3522e52058c96139f42dd6f6112269bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02533",
    "kind": "arxiv",
    "version": 2
  }
}