Pith Number

pith:KETLXG3X

pith:2019:KETLXG3X3GBVYLPKCYOSWET2MD

not attested not anchored not stored refs pending

Kantorovich distance on a finite metric space

Giovanni Pistone, Luigi Montrucchio

arxiv:1905.07547 v5 · 2019-05-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KETLXG3X3GBVYLPKCYOSWET2MD}

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.

Cited by

2 papers in Pith

Resistance Distance and Linearized Optimal Transport on Graphs

A discrete Benamou-Brenier formulation of Optimal Transport on graphs

Receipt and verification

First computed	2026-07-05T00:18:07.628114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5126bb9b77d9835c2dea161d2b127a60d609fc26b6c09a4945e80c75538dcecb

Aliases

arxiv: 1905.07547 · arxiv_version: 1905.07547v5 · doi: 10.48550/arxiv.1905.07547 · pith_short_12: KETLXG3X3GBV · pith_short_16: KETLXG3X3GBVYLPK · pith_short_8: KETLXG3X

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/KETLXG3X3GBVYLPKCYOSWET2MD \
  | 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: 5126bb9b77d9835c2dea161d2b127a60d609fc26b6c09a4945e80c75538dcecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "befb3e569fdec66a79078d381a292a81e7109a5445b71c59d0186c144fe8a2f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-18T07:41:26Z",
    "title_canon_sha256": "263086205695b006d753fe69e56e26faf8e263f06c9102583c5bb32961637209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07547",
    "kind": "arxiv",
    "version": 5
  }
}