Pith Number

pith:LWSGSHUB

pith:2025:LWSGSHUBR6CGIYW3R4FH3AL5T6

not attested not anchored not stored refs pending

A note on the relations between mixture models, maximum-likelihood and entropic optimal transport

Etienne Lasalle (OCKHAM), Titouan Vayer (OCKHAM)

arxiv:2501.12005 v2 · 2025-01-21 · stat.ML · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWSGSHUBR6CGIYW3R4FH3AL5T6}

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	2026-07-05T10:04:23.008121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da4691e818f846462db8f0a7d817d9f9b53c226c9685c52a83560796608c823

Aliases

arxiv: 2501.12005 · arxiv_version: 2501.12005v2 · doi: 10.48550/arxiv.2501.12005 · pith_short_12: LWSGSHUBR6CG · pith_short_16: LWSGSHUBR6CGIYW3 · pith_short_8: LWSGSHUB

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/LWSGSHUBR6CGIYW3R4FH3AL5T6 \
  | 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: 5da4691e818f846462db8f0a7d817d9f9b53c226c9685c52a83560796608c823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2b0c6e44836c466516f8e2377550dce1c739f9ac21c8a73254563d1bac3ef1",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-01-21T09:55:21Z",
    "title_canon_sha256": "6cc4bd3085412eb2bb6746a6cdd47c0391f60a6d4e85f77dd185381a1468a6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12005",
    "kind": "arxiv",
    "version": 2
  }
}