Pith Number

pith:CKCILCHB

pith:2021:CKCILCHBKYNTIV7RH5XWI33WJL

not attested not anchored not stored refs pending

A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation

Adrien Vacher, Alessandro Rudi, Boris Muzellec, Francis Bach, Francois-Xavier Vialard

arxiv:2101.05380 v4 · 2021-01-13 · math.ST · math.OC · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKCILCHBKYNTIV7RH5XWI33WJL}

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	2026-07-05T03:19:04.347583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12848588e1561b3457f13f6f646f764ac22a3cc3c9f5ad2c9d4ef1d2eaf81772

Aliases

arxiv: 2101.05380 · arxiv_version: 2101.05380v4 · doi: 10.48550/arxiv.2101.05380 · pith_short_12: CKCILCHBKYNT · pith_short_16: CKCILCHBKYNTIV7R · pith_short_8: CKCILCHB

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/CKCILCHBKYNTIV7RH5XWI33WJL \
  | 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: 12848588e1561b3457f13f6f646f764ac22a3cc3c9f5ad2c9d4ef1d2eaf81772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6ab9a1090cf528ec64035d611f0d591208b75607ac036d653269182dce668c",
    "cross_cats_sorted": [
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-01-13T22:56:46Z",
    "title_canon_sha256": "bbd72734ec30eb0274ff1f28b6b796201301b280dbe8f65163cf42797779a9d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05380",
    "kind": "arxiv",
    "version": 4
  }
}