Pith Number

pith:4XRW2Y75

pith:2026:4XRW2Y75GXDCASUOT5I5QALTC6

not attested not anchored not stored refs pending

Cluster-Aware Matching via Laplacian Optimal Transport

Gabriel Samberg, Nir Sharon, YoonHaeng Hur, YueHaw Khoo

arxiv:2607.16178 v1 · 2026-07-17 · stat.ML · cs.LG · cs.NA · math.NA · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XRW2Y75GXDCASUOT5I5QALTC6}

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	2026-07-20T02:19:38.070660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e36d63fd35c6204a8e9f51d8017317b413f97962316533b83df27bf80218fc

Aliases

arxiv: 2607.16178 · arxiv_version: 2607.16178v1 · doi: 10.48550/arxiv.2607.16178 · pith_short_12: 4XRW2Y75GXDC · pith_short_16: 4XRW2Y75GXDCASUO · pith_short_8: 4XRW2Y75

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/4XRW2Y75GXDCASUOT5I5QALTC6 \
  | 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: e5e36d63fd35c6204a8e9f51d8017317b413f97962316533b83df27bf80218fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c68e44cbed95334f308120d46592a18d18a0840c8f5c28285c127be3402ead",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-17T17:56:51Z",
    "title_canon_sha256": "6e89f2610474ba8cdc8f746a43446cc40104a29ac23100f41df69ac6dd973966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16178",
    "kind": "arxiv",
    "version": 1
  }
}