Pith Number

pith:U6PCFGDV

pith:2017:U6PCFGDVAGB56776P5PNLBZIQP

not attested not anchored not stored refs pending

Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications

Axel Munk, Carla Tameling, Max Sommerfeld

arxiv:1707.00973 v3 · 2017-07-04 · 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{U6PCFGDVAGB56776P5PNLBZIQP}

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	2026-05-18T00:05:39.717396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79e2298750183df7ffe7f5ed5872883edb9f25c3fd5210f27ec3a328304186e

Aliases

arxiv: 1707.00973 · arxiv_version: 1707.00973v3 · doi: 10.48550/arxiv.1707.00973 · pith_short_12: U6PCFGDVAGB5 · pith_short_16: U6PCFGDVAGB56776 · pith_short_8: U6PCFGDV

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/U6PCFGDVAGB56776P5PNLBZIQP \
  | 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: a79e2298750183df7ffe7f5ed5872883edb9f25c3fd5210f27ec3a328304186e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851e1d9e73e5cd6e5cb34e78b36362317d4fa070cad46110876bbcdf6c43d260",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-04T13:33:06Z",
    "title_canon_sha256": "faf26ca1a515473e13bd937d8e77e4754d485b631d9aa8b50120302116c29043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00973",
    "kind": "arxiv",
    "version": 3
  }
}