Pith Number

pith:BGE4FDNJ

pith:2025:BGE4FDNJSO5YHNRSA233D2YMXB

not attested not anchored not stored refs pending

Fast Wasserstein rates for estimating probability distributions of probabilistic graphical models

Daniel Bartl, Stephan Eckstein

arxiv:2510.09270 v2 · 2025-10-10 · math.ST · math.PR · 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{BGE4FDNJSO5YHNRSA233D2YMXB}

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	2026-05-22T01:03:48.100206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0989c28da993bb83b63206b7b1eb0cb85f4350db03988427dfc5b85538a71e93

Aliases

arxiv: 2510.09270 · arxiv_version: 2510.09270v2 · doi: 10.48550/arxiv.2510.09270 · pith_short_12: BGE4FDNJSO5Y · pith_short_16: BGE4FDNJSO5YHNRS · pith_short_8: BGE4FDNJ

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/BGE4FDNJSO5YHNRSA233D2YMXB \
  | 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: 0989c28da993bb83b63206b7b1eb0cb85f4350db03988427dfc5b85538a71e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7271ee99e886a814de0569ab17972fafb10b7d5c934533a7ecab7004fc75e884",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-10-10T11:12:26Z",
    "title_canon_sha256": "4eff5019d7cb0a7acc9f067d34b12dc56f89a91c3dabec8fa6248a7f60242fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.09270",
    "kind": "arxiv",
    "version": 2
  }
}