Pith Number

pith:X2RY4GLS

pith:2017:X2RY4GLSNLGNC7M6QWERKPTYB7

not attested not anchored not stored refs pending

Parallel Streaming Wasserstein Barycenters

Justin Solomon, Matthew Staib, Sebastian Claici, Stefanie Jegelka

arxiv:1705.07443 v2 · 2017-05-21 · cs.LG · math.OC · stat.CO · 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{X2RY4GLSNLGNC7M6QWERKPTYB7}

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	2026-05-18T00:30:44.742992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea38e19726accd17d9e8589153e780fccbe92a2f22527e9bd22630618fbb3ab

Aliases

arxiv: 1705.07443 · arxiv_version: 1705.07443v2 · doi: 10.48550/arxiv.1705.07443 · pith_short_12: X2RY4GLSNLGN · pith_short_16: X2RY4GLSNLGNC7M6 · pith_short_8: X2RY4GLS

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/X2RY4GLSNLGNC7M6QWERKPTYB7 \
  | 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: bea38e19726accd17d9e8589153e780fccbe92a2f22527e9bd22630618fbb3ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a093af3a3c059eca3c30d5087b75b4f1c97c2e3e4e4f6a89f8ba60e3e0e22859",
    "cross_cats_sorted": [
      "math.OC",
      "stat.CO",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2017-05-21T12:24:27Z",
    "title_canon_sha256": "8f13b28c61b90254ec1342ec907811f88fafff790e973e55ee82274f610f961a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07443",
    "kind": "arxiv",
    "version": 2
  }
}