Pith Number

pith:NYYLLZ5U

pith:2024:NYYLLZ5UL4IPT7A27JS3WNTO7U

not attested not anchored not stored refs pending

Bounding adapted Wasserstein metrics

Johannes Wiesel, Jonghwa Park, Jose Blanchet, Martin Larsson

arxiv:2407.21492 v2 · 2024-07-31 · 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{NYYLLZ5UL4IPT7A27JS3WNTO7U}

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

Dependence Measures via Adapted Optimal Transport: Stability and Rates of Convergence

Analytical Approach to Continuous-Time Causal Optimal Transport

Receipt and verification

First computed	2026-07-05T11:33:15.439889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e30b5e7b45f10f9fc1afa65bb366efd062b56da1ec8c029fc8b2d2c2a6b81c8

Aliases

arxiv: 2407.21492 · arxiv_version: 2407.21492v2 · doi: 10.48550/arxiv.2407.21492 · pith_short_12: NYYLLZ5UL4IP · pith_short_16: NYYLLZ5UL4IPT7A2 · pith_short_8: NYYLLZ5U

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/NYYLLZ5UL4IPT7A27JS3WNTO7U \
  | 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: 6e30b5e7b45f10f9fc1afa65bb366efd062b56da1ec8c029fc8b2d2c2a6b81c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4816c9f934652aa5bcf6ea8f73bd7f9a63178249f0408dd430268d8b5f8ec9",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-31T10:02:52Z",
    "title_canon_sha256": "86b5d006fe3e066c6470332af923ac4fb8ba72eaf41628f460196be728a80c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21492",
    "kind": "arxiv",
    "version": 2
  }
}