Pith Number

pith:YOXL526D

pith:2026:YOXL526DHJX2VH4W5HCV467VTR

not attested not anchored not stored refs pending

Empirical optimal transport potentials: fast rates and a functional central limit theorem

Alberto Gonz\'alez-Sanz, Gilles Mordant, Shunan Sheng

arxiv:2608.00649 v1 · 2026-08-01 · 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{YOXL526DHJX2VH4W5HCV467VTR}

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	2026-08-04T00:38:28.962619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3aebeebc33a6faa9f96e9c55e7bf59c667f24b3ebc532c6f7e9e12b631d2cfd

Aliases

arxiv: 2608.00649 · arxiv_version: 2608.00649v1 · doi: 10.48550/arxiv.2608.00649 · pith_short_12: YOXL526DHJX2 · pith_short_16: YOXL526DHJX2VH4W · pith_short_8: YOXL526D

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/YOXL526DHJX2VH4W5HCV467VTR \
  | 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: c3aebeebc33a6faa9f96e9c55e7bf59c667f24b3ebc532c6f7e9e12b631d2cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7dc68040e896b72e752fc2fe8ce13730397a93d07bfdaf98edf0fdcd1177a4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-01T13:09:00Z",
    "title_canon_sha256": "367ecd9fb3e120b75382a7f88deed7c0d23d041225e1dd32b1a36e4dbf26b86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00649",
    "kind": "arxiv",
    "version": 1
  }
}