Pith Number

pith:UT4ND4DD

pith:2015:UT4ND4DDGOQW5PWCCHYYTXNCEB

not attested not anchored not stored refs pending

Learning with a Wasserstein Loss

Charlie Frogner, Chiyuan Zhang, Hossein Mobahi, Mauricio Araya-Polo, Tomaso Poggio

arxiv:1506.05439 v3 · 2015-06-17 · cs.LG · cs.CV · 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{UT4ND4DDGOQW5PWCCHYYTXNCEB}

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	2026-05-18T01:23:38.213026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4f8d1f06333a16ebec211f189dda2205e06a811987759da3abbf900e06ed62e

Aliases

arxiv: 1506.05439 · arxiv_version: 1506.05439v3 · doi: 10.48550/arxiv.1506.05439 · pith_short_12: UT4ND4DDGOQW · pith_short_16: UT4ND4DDGOQW5PWC · pith_short_8: UT4ND4DD

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/UT4ND4DDGOQW5PWCCHYYTXNCEB \
  | 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: a4f8d1f06333a16ebec211f189dda2205e06a811987759da3abbf900e06ed62e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37ab7e0a4e41d91fcd0592bfc250222d07828627a99164bccc7c73f6722d961",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-06-17T19:36:41Z",
    "title_canon_sha256": "881137350ef609860f5a95ca5e8a56742e2e7d1fe896637430a86c21638753aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05439",
    "kind": "arxiv",
    "version": 3
  }
}