Pith Number

pith:XOVBA7RB

pith:2024:XOVBA7RBFYMKODXL6VRMYUIL7J

not attested not anchored not stored refs pending

Degrees of the Wasserstein Distance to Small Toric Models

Greg DePaul, Ikenna Nometa, Nilava Metya, Serkan Ho\c{s}ten

arxiv:2402.09626 v2 · 2024-02-15 · math.AG · 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{XOVBA7RBFYMKODXL6VRMYUIL7J}

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	2026-07-05T10:02:02.106709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbaa107e212e18a70eebf562cc510bfa5e6c0fd62cf75b7b3f1f7d6e7d19228a

Aliases

arxiv: 2402.09626 · arxiv_version: 2402.09626v2 · doi: 10.48550/arxiv.2402.09626 · pith_short_12: XOVBA7RBFYMK · pith_short_16: XOVBA7RBFYMKODXL · pith_short_8: XOVBA7RB

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/XOVBA7RBFYMKODXL6VRMYUIL7J \
  | 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: bbaa107e212e18a70eebf562cc510bfa5e6c0fd62cf75b7b3f1f7d6e7d19228a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4190fd63ada503354a73d24fc9e206e79e2c4ebc37c5e58fca5db0f006a4b7fc",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-15T00:02:41Z",
    "title_canon_sha256": "00c8b6685f94115c8aceb0bb1b8d02762fb4bf67244c3b2fbaa6f67c473cdbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.09626",
    "kind": "arxiv",
    "version": 2
  }
}