Pith Number

pith:JBTEXQZI

pith:2026:JBTEXQZIZXE6OGDW5QVTMKEVWN

not attested not anchored not stored refs pending

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels

Dejan Slep\v{c}ev, Lihan Wang, Matthew Rosenzweig

arxiv:2608.01182 v1 · 2026-08-02 · math.AP · math.PR · 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{JBTEXQZIZXE6OGDW5QVTMKEVWN}

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	2026-08-04T02:01:52.904319Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48664bc328cdc9e71876ec2b362895b376759482664d388fa3c84b2b407932d8

Aliases

arxiv: 2608.01182 · arxiv_version: 2608.01182v1 · doi: 10.48550/arxiv.2608.01182 · pith_short_12: JBTEXQZIZXE6 · pith_short_16: JBTEXQZIZXE6OGDW · pith_short_8: JBTEXQZI

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/JBTEXQZIZXE6OGDW5QVTMKEVWN \
  | 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: 48664bc328cdc9e71876ec2b362895b376759482664d388fa3c84b2b407932d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a885fd32071f64c5958294b64d146082948903d3f8d1da0b8313f2e544f194f5",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-02T11:59:43Z",
    "title_canon_sha256": "22793c02465946a0687e2a6a1cdde1d29993669eb6e9753c741bca5d637ccefa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01182",
    "kind": "arxiv",
    "version": 1
  }
}