Pith Number

pith:3XME2VRR

pith:2020:3XME2VRRIAETZMWBCX4ELG5RIY

not attested not anchored not stored refs pending

Equitable and Optimal Transport with Multiple Agents

Jamal Atif, Laurent Meunier, Marco Cuturi, Meyer Scetbon

arxiv:2006.07260 v3 · 2020-06-12 · stat.ML · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XME2VRRIAETZMWBCX4ELG5RIY}

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	2026-07-05T02:18:16.139212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd84d563140093cb2c115f8459bb146318de1a3664bd2f3aa9771cea89d718d

Aliases

arxiv: 2006.07260 · arxiv_version: 2006.07260v3 · doi: 10.48550/arxiv.2006.07260 · pith_short_12: 3XME2VRRIAET · pith_short_16: 3XME2VRRIAETZMWB · pith_short_8: 3XME2VRR

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/3XME2VRRIAETZMWBCX4ELG5RIY \
  | 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: ddd84d563140093cb2c115f8459bb146318de1a3664bd2f3aa9771cea89d718d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53acc0a7378ec5b7bbb884460d4b909f78547dc7064bb5387e8929cbf844707",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-06-12T15:15:41Z",
    "title_canon_sha256": "6858a24095808b4ddef5241cf4f76df76f68611d86e5be6d959be59c1f7c5303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07260",
    "kind": "arxiv",
    "version": 3
  }
}