Pith Number

pith:UTM64OBL

pith:2021:UTM64OBL4VYYDHBV4SG45N4PUO

not attested not anchored not stored refs pending

Sampling From the Wasserstein Barycenter

(2) Massachusetts Institute of Technology, Centrale Marseille, Chiheb Daaloul (1), CNRS, Department of Mathematics, France, I2M, Jacques Liandrat (1), Magali Tournus (1) ((1) Aix-Marseille Univ., Marseille, Thibaut Le Gouic (2), UMR7373, USA)

arxiv:2105.01706 v1 · 2021-05-04 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTM64OBL4VYYDHBV4SG45N4PUO}

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	2026-07-05T02:37:47.321216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d9ee382be571819c35e48dceb78fa3b946d8d7a068549fdadc4dfaf87e4ded

Aliases

arxiv: 2105.01706 · arxiv_version: 2105.01706v1 · doi: 10.48550/arxiv.2105.01706 · pith_short_12: UTM64OBL4VYY · pith_short_16: UTM64OBL4VYYDHBV · pith_short_8: UTM64OBL

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/UTM64OBL4VYYDHBV4SG45N4PUO \
  | 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: a4d9ee382be571819c35e48dceb78fa3b946d8d7a068549fdadc4dfaf87e4ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2e5b40b008e7d9277b7397e9f15b8a62c1a0b73e1dd025c19b52f0ba165152",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-05-04T18:57:41Z",
    "title_canon_sha256": "f32234300d381303dd0735a4b4e4efea3d31aa70afcf42a8f0fe8a8b23d0dde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01706",
    "kind": "arxiv",
    "version": 1
  }
}