Pith Number

pith:XH5S6MUL

pith:2026:XH5S6MULFM7XVRKMNQAGA3YBW5

not attested not anchored not stored refs pending

Geometrical fairness in graph neural networks

Arturo P\'erez-Peralta, Blas Kolic, Rosa E. Lillo, Sandra Ben\'itez-Pe\~na

arxiv:2606.17684 v1 · 2026-06-16 · stat.ML · cs.CY · 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{XH5S6MULFM7XVRKMNQAGA3YBW5}

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	2026-06-19T16:10:19.328902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9fb2f328b2b3f7ac54c6c00606f01b77ebea65e4048a13e371a89afc95358b1

Aliases

arxiv: 2606.17684 · arxiv_version: 2606.17684v1 · doi: 10.48550/arxiv.2606.17684 · pith_short_12: XH5S6MULFM7X · pith_short_16: XH5S6MULFM7XVRKM · pith_short_8: XH5S6MUL

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/XH5S6MULFM7XVRKMNQAGA3YBW5 \
  | 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: b9fb2f328b2b3f7ac54c6c00606f01b77ebea65e4048a13e371a89afc95358b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28c39f99ba351350287e0e851feabdf01ad48d465b4129ef285d397a1ceddf1",
    "cross_cats_sorted": [
      "cs.CY",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-16T08:50:30Z",
    "title_canon_sha256": "090dfbb44d73ac01c61d51cffaeff02cf7f868ff699c289e72002d91a5bddbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17684",
    "kind": "arxiv",
    "version": 1
  }
}