Pith Number

pith:VIBJ6V7T

pith:2026:VIBJ6V7T7E4CBSVGEYX3U336WY

not attested not anchored not stored refs pending

Scaling Higher-Order Graph Learning with Maximal Clique Complexes

Antoine Vialle, Aref Einizade, Fragkiskos D. Malliaros, Jhony H. Giraldo

arxiv:2605.31373 v1 · 2026-05-29 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIBJ6V7T7E4CBSVGEYX3U336WY}

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	2026-06-01T02:04:01.598144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa029f57f3f93820caa6262fba6f7eb6378b6dc76fe7951edaeef5a065e2eb01

Aliases

arxiv: 2605.31373 · arxiv_version: 2605.31373v1 · doi: 10.48550/arxiv.2605.31373 · pith_short_12: VIBJ6V7T7E4C · pith_short_16: VIBJ6V7T7E4CBSVG · pith_short_8: VIBJ6V7T

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/VIBJ6V7T7E4CBSVGEYX3U336WY \
  | 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: aa029f57f3f93820caa6262fba6f7eb6378b6dc76fe7951edaeef5a065e2eb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a958ee4dfffb2d5f09b54ac0414dbc128ef36270737ac47e52205e9aa3c0664",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-29T14:42:40Z",
    "title_canon_sha256": "ec8a8dc7ac98868512b795ea3e5dd62125ddbb2766de834adf3b8f17d7a779eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31373",
    "kind": "arxiv",
    "version": 1
  }
}