Pith Number

pith:XNMJ4OLQ

pith:2023:XNMJ4OLQHQPL362QCJGNCXIPZE

not attested not anchored not stored refs pending

A Wasserstein-type metric for generic mixture models, including location-scatter and group invariant measures

Genevi\`eve Dusson, Nathalie Nouaime, Virginie Ehrlacher

arxiv:2301.07963 v1 · 2023-01-19 · math.OC · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNMJ4OLQHQPL362QCJGNCXIPZE}

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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

Flowing Datasets with Wasserstein over Wasserstein Gradient Flows

Receipt and verification

First computed	2026-07-05T05:34:21.011504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb589e39703c1ebdfb50124cd15d0fc9343031662c8569f44c8ce159f330d4e0

Aliases

arxiv: 2301.07963 · arxiv_version: 2301.07963v1 · doi: 10.48550/arxiv.2301.07963 · pith_short_12: XNMJ4OLQHQPL · pith_short_16: XNMJ4OLQHQPL362Q · pith_short_8: XNMJ4OLQ

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/XNMJ4OLQHQPL362QCJGNCXIPZE \
  | 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: bb589e39703c1ebdfb50124cd15d0fc9343031662c8569f44c8ce159f330d4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9354c68a3dfe1dc9d00de849a59f9d11ce3600ddf7c225a7e6b85557432c11",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-01-19T09:33:46Z",
    "title_canon_sha256": "1c589ac7dd23f1c2547c4b59e994fc15f9719901f489ae86e2f9141550391b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07963",
    "kind": "arxiv",
    "version": 1
  }
}