Pith Number

pith:4UUZAFJW

pith:2023:4UUZAFJWOES453RQ2FL5HL5H5V

not attested not anchored not stored refs pending

Learning Elastic Costs to Shape Monge Displacements

Aram-Alexandre Pooladian, Eug\`ene Ndiaye, Jonathan Niles-Weed, Marco Cuturi, Michal Klein, Pierre Ablin

arxiv:2306.11895 v2 · 2023-06-20 · 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{4UUZAFJWOES453RQ2FL5HL5H5V}

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.

Cited by

2 papers in Pith

Wasserstein distances and divergences of order $p$ by quantum channels

Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bits

Receipt and verification

First computed	2026-07-05T08:22:20.557267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5299015367125ceee30d157d3afa7ed4e037f32bd4094966c4aa419667c0149

Aliases

arxiv: 2306.11895 · arxiv_version: 2306.11895v2 · doi: 10.48550/arxiv.2306.11895 · pith_short_12: 4UUZAFJWOES4 · pith_short_16: 4UUZAFJWOES453RQ · pith_short_8: 4UUZAFJW

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/4UUZAFJWOES453RQ2FL5HL5H5V \
  | 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: e5299015367125ceee30d157d3afa7ed4e037f32bd4094966c4aa419667c0149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83353ff167547eeb59392d69e32779145050d5385e7446e58d0b30e8d24c0b25",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-06-20T21:17:32Z",
    "title_canon_sha256": "6f86d16218d02d5c89e1ddb10fce7c841689f9da77d2caf15438f3135bf431f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.11895",
    "kind": "arxiv",
    "version": 2
  }
}