Pith Number

pith:Z5THE7DH

pith:2024:Z5THE7DHOLK5DNMINY7ZY75GG3

not attested not anchored not stored refs pending

Statistical Convergence Rates of Optimal Transport Map Estimation between General Distributions

Lingzhou Xue, Runze Li, Yizhe Ding

arxiv:2412.08064 v1 · 2024-12-11 · math.ST · math.PR · stat.ME · stat.ML · 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{Z5THE7DHOLK5DNMINY7ZY75GG3}

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	2026-07-05T09:47:43.823434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf66727c6772d5d1b5886e3f9c7fa636f43b9ae3c2272ec1b2ef1ded6f6a15cd

Aliases

arxiv: 2412.08064 · arxiv_version: 2412.08064v1 · doi: 10.48550/arxiv.2412.08064 · pith_short_12: Z5THE7DHOLK5 · pith_short_16: Z5THE7DHOLK5DNMI · pith_short_8: Z5THE7DH

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/Z5THE7DHOLK5DNMINY7ZY75GG3 \
  | 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: cf66727c6772d5d1b5886e3f9c7fa636f43b9ae3c2272ec1b2ef1ded6f6a15cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e239ee02910af6695c16974fe0b6b1fd53e5ed3fc8a4b5ecb79b7f3fdb9e6d01",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-12-11T03:18:17Z",
    "title_canon_sha256": "413e998bd5bf1bfde216a61bb36dde7adc253aed3b7997cd6229363153e1bdbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08064",
    "kind": "arxiv",
    "version": 1
  }
}