Pith Number

pith:PHV2GSCW

pith:2019:PHV2GSCWEZ7CONL3QRW5WBBDUM

not attested not anchored not stored refs pending

Optimal Transport Relaxations with Application to Wasserstein GANs

Jose Blanchet, Peter Glynn, Saied Mahdian

arxiv:1906.03317 v1 · 2019-06-07 · stat.ML · cs.LG · math.OC · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHV2GSCWEZ7CONL3QRW5WBBDUM}

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	2026-05-17T23:43:48.801378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79eba34856267e27357b846ddb0423a3339838ed8bb56c5d573b1d17c0858212

Aliases

arxiv: 1906.03317 · arxiv_version: 1906.03317v1 · doi: 10.48550/arxiv.1906.03317 · pith_short_12: PHV2GSCWEZ7C · pith_short_16: PHV2GSCWEZ7CONL3 · pith_short_8: PHV2GSCW

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/PHV2GSCWEZ7CONL3QRW5WBBDUM \
  | 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: 79eba34856267e27357b846ddb0423a3339838ed8bb56c5d573b1d17c0858212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99973bdaa7db16e9a1b2fc8db6bc6adb734f0041369a0e106d4c78e354fc0a4",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-06-07T20:01:56Z",
    "title_canon_sha256": "3f2e2cc4ebb0f357a75938dda64769728b1b5ace1d5e8127d60a6859f401c3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03317",
    "kind": "arxiv",
    "version": 1
  }
}