Pith Number

pith:RCNZY4SX

pith:2013:RCNZY4SXRZPMAA4XMCC44BR643

not attested not anchored not stored refs pending

Fast Computation of Wasserstein Barycenters

Arnaud Doucet, Marco Cuturi

arxiv:1310.4375 v3 · 2013-10-16 · 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{RCNZY4SXRZPMAA4XMCC44BR643}

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	2026-05-18T02:49:38.927135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

889b9c72578e5ec003976085ce063ee6d2d7e59d343e0527d750c0219a2e8a56

Aliases

arxiv: 1310.4375 · arxiv_version: 1310.4375v3 · doi: 10.48550/arxiv.1310.4375 · pith_short_12: RCNZY4SXRZPM · pith_short_16: RCNZY4SXRZPMAA4X · pith_short_8: RCNZY4SX

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/RCNZY4SXRZPMAA4XMCC44BR643 \
  | 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: 889b9c72578e5ec003976085ce063ee6d2d7e59d343e0527d750c0219a2e8a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d5dce6612fa174c8a3ec89bb53ce0df33ae7fa84ac2e7c5641a891f3ab2cff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2013-10-16T13:47:14Z",
    "title_canon_sha256": "7e546f10edaa7fe31d360942d410bf37e569895faf489b029cb0806ccf2726f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4375",
    "kind": "arxiv",
    "version": 3
  }
}