Pith Number

pith:7Z7KBE5H

pith:2026:7Z7KBE5H2ZPC5TKFJR5XAYCHWE

not attested not anchored not stored refs pending

An Optimal Transportation Approach for Improved Confidence Intervals

Christophe Quentin Valvason, Eustasio del Barrio, Stefan Sperlich

arxiv:2606.22008 v1 · 2026-06-20 · stat.ME · math.PR · math.ST · 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{7Z7KBE5H2ZPC5TKFJR5XAYCHWE}

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	2026-06-23T02:13:05.471201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7ea093a7d65e2ecd454c7b706047b12e14b886caf5778bacd3f68a49b49536

Aliases

arxiv: 2606.22008 · arxiv_version: 2606.22008v1 · doi: 10.48550/arxiv.2606.22008 · pith_short_12: 7Z7KBE5H2ZPC · pith_short_16: 7Z7KBE5H2ZPC5TKF · pith_short_8: 7Z7KBE5H

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/7Z7KBE5H2ZPC5TKFJR5XAYCHWE \
  | 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: fe7ea093a7d65e2ecd454c7b706047b12e14b886caf5778bacd3f68a49b49536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f5040bdde939a9ce7db5b25088b0153b2fdec97834e08d6cba87acbe56035db",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-20T12:15:24Z",
    "title_canon_sha256": "f39aeea2d505669537cc0f619b7f8e8de84d5802d2c08451c3eb2296f6625d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22008",
    "kind": "arxiv",
    "version": 1
  }
}