Pith Number

pith:LZBBE7SW

pith:2026:LZBBE7SWZWOV76MFULTNVYNNPK

not attested not anchored not stored refs pending

Network Learning with Semi-relaxed Gromov-Wasserstein

Charles Dufour, Leonardo V. Santoro, Ulysse Naepels

arxiv:2606.02223 v1 · 2026-06-01 · cs.LG · math.ST · stat.ME · 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{LZBBE7SWZWOV76MFULTNVYNNPK}

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	2026-06-02T03:04:53.563005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e42127e56cd9d5ff985a2e6dae1ad7aba7ee76d8c848f96c39cd2b99f8219c1

Aliases

arxiv: 2606.02223 · arxiv_version: 2606.02223v1 · doi: 10.48550/arxiv.2606.02223 · pith_short_12: LZBBE7SWZWOV · pith_short_16: LZBBE7SWZWOV76MF · pith_short_8: LZBBE7SW

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/LZBBE7SWZWOV76MFULTNVYNNPK \
  | 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: 5e42127e56cd9d5ff985a2e6dae1ad7aba7ee76d8c848f96c39cd2b99f8219c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3323016bcb2e03d26f1bdea1f7ccf888c668b27becb5767198afbcde6623eceb",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-01T13:21:17Z",
    "title_canon_sha256": "b5fb8cf66bae48fd31c411d135d4c0454dfcd5c39a8408a1ae9b301eb6027903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02223",
    "kind": "arxiv",
    "version": 1
  }
}