Pith Number

pith:UORHRGVS

pith:2018:UORHRGVSYEDJVAN3VP7U36DDWH

not attested not anchored not stored refs pending

Computing Kantorovich-Wasserstein Distances on $d$-dimensional histograms using $(d+1)$-partite graphs

Federico Bassetti, Gennaro Auricchio, Marco Veneroni, Stefano Gualandi

arxiv:1805.07416 v2 · 2018-05-18 · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UORHRGVSYEDJVAN3VP7U36DDWH}

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	2026-05-17T23:56:33.939242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3a2789ab2c1069a81bbabff4df863b1e01ba8f8917cfb13f51c2b85fed70e3b

Aliases

arxiv: 1805.07416 · arxiv_version: 1805.07416v2 · doi: 10.48550/arxiv.1805.07416 · pith_short_12: UORHRGVSYEDJ · pith_short_16: UORHRGVSYEDJVAN3 · pith_short_8: UORHRGVS

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/UORHRGVSYEDJVAN3VP7U36DDWH \
  | 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: a3a2789ab2c1069a81bbabff4df863b1e01ba8f8917cfb13f51c2b85fed70e3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3940c7c3c225e519d4c0e86a2a7074647247d2dd398311ef337bad662b441488",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-18T19:45:05Z",
    "title_canon_sha256": "4e32cd51e0a3fb2bff565a52d0c85c302861fd7b2079c71884690675eedfdd9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07416",
    "kind": "arxiv",
    "version": 2
  }
}