Pith Number

pith:X6HGIUZD

pith:2025:X6HGIUZDERGDFAMMZC6IWS2S2S

not attested not anchored not stored refs pending

Robust Alignment via Partial Gromov-Wasserstein Distances

Sloan Nietert, Xiaoyun Gong, Ziv Goldfeld

arxiv:2506.21507 v1 · 2025-06-26 · math.ST · stat.ML · 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{X6HGIUZDERGDFAMMZC6IWS2S2S}

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.

Cited by

1 paper in Pith

Gromov-Wasserstein and optimal transport: from assignment problems to probabilistic numeric

Receipt and verification

First computed	2026-07-05T11:27:47.080779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8e645323244c32818cc8bc8b4b52d4bdb8f2bbec6fe6796a224de332844e2c

Aliases

arxiv: 2506.21507 · arxiv_version: 2506.21507v1 · doi: 10.48550/arxiv.2506.21507 · pith_short_12: X6HGIUZDERGD · pith_short_16: X6HGIUZDERGDFAMM · pith_short_8: X6HGIUZD

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/X6HGIUZDERGDFAMMZC6IWS2S2S \
  | 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: bf8e645323244c32818cc8bc8b4b52d4bdb8f2bbec6fe6796a224de332844e2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37972fe1699973ed832082d21a396f418bbd8d14ba3c39ff40255c21bee599a",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-26T17:32:53Z",
    "title_canon_sha256": "015ae47df90e72f2ec50ff8b8445237c3399c2114b8c2f66861099c91e3ac12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21507",
    "kind": "arxiv",
    "version": 1
  }
}