Pith Number

pith:GBGZT5LS

pith:2026:GBGZT5LS4Q54VSU4PFK4RUHOEJ

not attested not anchored not stored refs pending

Minkowski-Type Wasserstein Metrics and Barycenters for Location-Scale Mixtures with Application to Domain Adaptation

Songyan Luo, Yunxin Zhang

arxiv:2606.26482 v1 · 2026-06-25 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBGZT5LS4Q54VSU4PFK4RUHOEJ}

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	2026-06-26T01:15:32.413583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304d99f572e43bcaca9c7955c8d0ee22460c67ca3eae7e3543e29007c0ca425b

Aliases

arxiv: 2606.26482 · arxiv_version: 2606.26482v1 · doi: 10.48550/arxiv.2606.26482 · pith_short_12: GBGZT5LS4Q54 · pith_short_16: GBGZT5LS4Q54VSU4 · pith_short_8: GBGZT5LS

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/GBGZT5LS4Q54VSU4PFK4RUHOEJ \
  | 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: 304d99f572e43bcaca9c7955c8d0ee22460c67ca3eae7e3543e29007c0ca425b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a28d01d284527d43a2a48c4cfa2fc8aa65d582542934df3c954f645451e640",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-25T00:42:28Z",
    "title_canon_sha256": "6f4831bc8c5360fa4c887d923a9ddeceb5330d25a69be6cd4a446a35e082b487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26482",
    "kind": "arxiv",
    "version": 1
  }
}