Pith Number

pith:XQJMJLIU

pith:2026:XQJMJLIUDTZUDBKXW2BT6QZPOQ

not attested not anchored not stored refs pending

$k$-Nearest Neighbors in Gromov--Wasserstein Space

Caroline Moosmueller, Kaitlyn Hohmeier, Nicolas Fraiman

arxiv:2606.10295 v1 · 2026-06-09 · stat.ML · cs.LG · 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{XQJMJLIUDTZUDBKXW2BT6QZPOQ}

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	2026-06-10T01:10:10.186613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc12c4ad141cf3418557b6833f432f742452834b56a514584559ac0642560218

Aliases

arxiv: 2606.10295 · arxiv_version: 2606.10295v1 · doi: 10.48550/arxiv.2606.10295 · pith_short_12: XQJMJLIUDTZU · pith_short_16: XQJMJLIUDTZUDBKX · pith_short_8: XQJMJLIU

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/XQJMJLIUDTZUDBKXW2BT6QZPOQ \
  | 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: bc12c4ad141cf3418557b6833f432f742452834b56a514584559ac0642560218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3429ec2ba7bdbe23da7956890482454f34a78c3f7ed4f417c8a7937640805cb9",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-09T01:33:01Z",
    "title_canon_sha256": "eb02f86157a1a8381b93ed390760b4a4a5db86eefc28da29ff1aecc61a5d808d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10295",
    "kind": "arxiv",
    "version": 1
  }
}