Pith Number

pith:JAB3LZ54

pith:2020:JAB3LZ54X2SPYZ5E5JTZY77OOC

not attested not anchored not stored refs pending

Wasserstein Distance to Independence Models

Asgar Jamneshan, Bernd Sturmfels, Guido Mont\'ufar, Lorenzo Venturello, T\"urk\"u \"Ozl\"um \c{C}elik

arxiv:2003.06725 v2 · 2020-03-15 · math.OC · 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{JAB3LZ54X2SPYZ5E5JTZY77OOC}

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	2026-07-05T01:43:14.409277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4803b5e7bcbea4fc67a4ea679c7fee708cc6ed2b872f5c00bef630b2077add0d

Aliases

arxiv: 2003.06725 · arxiv_version: 2003.06725v2 · doi: 10.48550/arxiv.2003.06725 · pith_short_12: JAB3LZ54X2SP · pith_short_16: JAB3LZ54X2SPYZ5E · pith_short_8: JAB3LZ54

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/JAB3LZ54X2SPYZ5E5JTZY77OOC \
  | 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: 4803b5e7bcbea4fc67a4ea679c7fee708cc6ed2b872f5c00bef630b2077add0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c942276deaea8d7ba6f35ee2ff6705a1858b3a30d77df2b31402b944e769e30",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-03-15T00:17:24Z",
    "title_canon_sha256": "97472069a2d2a26e52a0c436ceccd3f994e3832a102dfcf56184f914d0fe4489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06725",
    "kind": "arxiv",
    "version": 2
  }
}