Pith Number

pith:NDOOWDKW

pith:2018:NDOOWDKW5IY2P5VVHRF7PSRXHE

not attested not anchored not stored refs pending

A Fast Globally Linearly Convergent Algorithm for the Computation of Wasserstein Barycenters

Defeng Sun, Jia Li, Kim-Chuan Toh, Lei Yang

arxiv:1809.04249 v5 · 2018-09-12 · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDOOWDKW5IY2P5VVHRF7PSRXHE}

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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.

Cited by

1 paper in Pith

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

Receipt and verification

First computed	2026-07-05T02:01:59.644972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dceb0d56ea31a7f6b53c4bf7ca3739082c0711f9c5fca4bbc4b664c9a32dfc

Aliases

arxiv: 1809.04249 · arxiv_version: 1809.04249v5 · doi: 10.48550/arxiv.1809.04249 · pith_short_12: NDOOWDKW5IY2 · pith_short_16: NDOOWDKW5IY2P5VV · pith_short_8: NDOOWDKW

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/NDOOWDKW5IY2P5VVHRF7PSRXHE \
  | 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: 68dceb0d56ea31a7f6b53c4bf7ca3739082c0711f9c5fca4bbc4b664c9a32dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab3817c62c0e1a0bacd06b6dc71c584315b442ae4d82b27eb35ffa666777c1a",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-12T04:13:48Z",
    "title_canon_sha256": "a8a5ce2d7dec335395043cebc8047b5c396b819d0c8cc3d1db9d5d0250ebac9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04249",
    "kind": "arxiv",
    "version": 5
  }
}