Pith Number

pith:G3J6NRXN

pith:2019:G3J6NRXN2EFPHHIW5ZI6D5UO54

not attested not anchored not stored refs pending

Learning Embeddings into Entropic Wasserstein Spaces

Charlie Frogner, Farzaneh Mirzazadeh, Justin Solomon

arxiv:1905.03329 v1 · 2019-05-08 · cs.LG · 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{G3J6NRXN2EFPHHIW5ZI6D5UO54}

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	2026-05-17T23:46:40.366128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d3e6c6edd10af39d16ee51e1f68eef34ae24e1f4491f3f4e5b6c98ba2e5e83

Aliases

arxiv: 1905.03329 · arxiv_version: 1905.03329v1 · doi: 10.48550/arxiv.1905.03329 · pith_short_12: G3J6NRXN2EFP · pith_short_16: G3J6NRXN2EFPHHIW · pith_short_8: G3J6NRXN

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/G3J6NRXN2EFPHHIW5ZI6D5UO54 \
  | 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: 36d3e6c6edd10af39d16ee51e1f68eef34ae24e1f4491f3f4e5b6c98ba2e5e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6426a173a105257ce772935f922d15c7955f18d38208152615a4c8f36bea8464",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-08T20:48:28Z",
    "title_canon_sha256": "8aff2db61b940e00c6033d1c2d678683111decca5175471f6754e75b141fb63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03329",
    "kind": "arxiv",
    "version": 1
  }
}