Pith Number

pith:QSSH3HEZ

pith:2025:QSSH3HEZLAHKEBOOO4V5XPMBPT

not attested not anchored not stored refs pending

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

Antonio Candelieri, Enza Messina, Francesco Archetti, Iman Seyedi

arxiv:2509.04089 v1 · 2025-09-04 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSSH3HEZLAHKEBOOO4V5XPMBPT}

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	2026-07-05T12:04:53.314814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84a47d9c99580ea205ce772bdbbd817cc327ac1e5a133e28304b12ce007564f7

Aliases

arxiv: 2509.04089 · arxiv_version: 2509.04089v1 · doi: 10.48550/arxiv.2509.04089 · pith_short_12: QSSH3HEZLAHK · pith_short_16: QSSH3HEZLAHKEBOO · pith_short_8: QSSH3HEZ

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/QSSH3HEZLAHKEBOOO4V5XPMBPT \
  | 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: 84a47d9c99580ea205ce772bdbbd817cc327ac1e5a133e28304b12ce007564f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09055ace5e30ba8fcf09d08abb608f77a997e2c9024dcd870eb0175e9d17e1dc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-04T10:44:30Z",
    "title_canon_sha256": "16fd9ffc8019d71b14b0dd461f0a03caeacfc6729f3eca8b88b4cf9ba9b2792f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04089",
    "kind": "arxiv",
    "version": 1
  }
}