Pith Number

pith:7X76PEPN

pith:2019:7X76PEPN4BJK3AP3SM37J5MU5C

not attested not anchored not stored refs pending

On the Complexity of Approximating Multimarginal Optimal Transport

Marco Cuturi, Michael I. Jordan, Nhat Ho, Tianyi Lin

arxiv:1910.00152 v4 · 2019-09-30 · stat.ML · cs.DS · cs.LG · math.OC · stat.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X76PEPN4BJK3AP3SM37J5MU5C}

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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

Decentralised convex optimisation with probability-proportional-to-size quantization

Receipt and verification

First computed	2026-07-05T03:58:43.512599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdffe791ede052ad81fb9337f4f594e88bedb4b2569c6eefdea80ab24e74272c

Aliases

arxiv: 1910.00152 · arxiv_version: 1910.00152v4 · doi: 10.48550/arxiv.1910.00152 · pith_short_12: 7X76PEPN4BJK · pith_short_16: 7X76PEPN4BJK3AP3 · pith_short_8: 7X76PEPN

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/7X76PEPN4BJK3AP3SM37J5MU5C \
  | 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: fdffe791ede052ad81fb9337f4f594e88bedb4b2569c6eefdea80ab24e74272c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a91d41075d55dcb7dda9bd7a4a3a14b70d6a5e5199f5930b1b32e01099ea04",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "math.OC",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-09-30T23:43:43Z",
    "title_canon_sha256": "286f1b6866caf214429e03c822fdf602dafb0e850274ee07c387f9e9e56c8b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00152",
    "kind": "arxiv",
    "version": 4
  }
}