Pith Number

pith:PBMBGERU

pith:2017:PBMBGERUJ635MJ7J5BPHJJVCU4

not attested not anchored not stored refs pending

Wasserstein Dictionary Learning: Optimal Transport-based unsupervised non-linear dictionary learning

David Coeurjolly, Fred Maurice Ngol\`e Mboula, Gabriel Peyr\'e, Jean-Luc Starck, Marco Cuturi, Matthieu Heitz, Morgan A. Schmitz, Nicolas Bonneel

arxiv:1708.01955 v3 · 2017-08-07 · stat.ML · cs.GR · 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{PBMBGERUJ635MJ7J5BPHJJVCU4}

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	2026-05-18T00:20:56.324304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78581312344fb7d627e9e85e74a6a2a734714d068814bc527a056fd76931c393

Aliases

arxiv: 1708.01955 · arxiv_version: 1708.01955v3 · doi: 10.48550/arxiv.1708.01955 · pith_short_12: PBMBGERUJ635 · pith_short_16: PBMBGERUJ635MJ7J · pith_short_8: PBMBGERU

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/PBMBGERUJ635MJ7J5BPHJJVCU4 \
  | 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: 78581312344fb7d627e9e85e74a6a2a734714d068814bc527a056fd76931c393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e3b025b3dba1146df266d5061aa0e3a6cfb2d16a71ea18e4d809602690633bb",
    "cross_cats_sorted": [
      "cs.GR",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-08-07T01:00:40Z",
    "title_canon_sha256": "8c5a1263edf38510c873de335e0984d4205b915e6f58f8def26d3726d992b350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01955",
    "kind": "arxiv",
    "version": 3
  }
}