Pith Number

pith:UDQL4E2S

pith:2026:UDQL4E2S7UC2C4MF2ASZ4CNY5P

not attested not anchored not stored refs pending

Hyperbolic Graph Neural Networks Under the Microscope: The Role of Geometry-Task Alignment

Dionisia Naddeo, Geri Skenderi, Jonas Linkerh\"agner, Nicola Toschi, Veronica Lachi

Hyperbolic graph neural networks outperform Euclidean ones only when the task itself requires preserving the graph's metric structure.

arxiv:2602.01828 v2 · 2026-02-02 · cs.LG

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\usepackage{pith}
\pithnumber{UDQL4E2S7UC2C4MF2ASZ4CNY5P}

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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.

Claims

C1strongest claim

HGNNs gain an advantage on link prediction, a naturally geometry-aligned task, whereas this advantage largely disappears on standard node classification benchmarks, which are typically not geometry-aligned.

C2weakest assumption

That link prediction is inherently geometry-aligned while standard node classification benchmarks are not, and that the chosen distortion measures and benchmarks generalize beyond the tested cases.

C3one line summary

HGNNs recover low-distortion representations and outperform Euclidean models only on geometry-aligned tasks such as link prediction, while the advantage disappears on non-aligned tasks like node classification.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:00.097600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e0be1352fd05a17185d0259e09b8ebf1e65663b84c5c0551d8c225543b7eb9

Aliases

arxiv: 2602.01828 · arxiv_version: 2602.01828v2 · doi: 10.48550/arxiv.2602.01828 · pith_short_12: UDQL4E2S7UC2 · pith_short_16: UDQL4E2S7UC2C4MF · pith_short_8: UDQL4E2S

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/UDQL4E2S7UC2C4MF2ASZ4CNY5P \
  | 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: a0e0be1352fd05a17185d0259e09b8ebf1e65663b84c5c0551d8c225543b7eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ef0215f595be1f32ebfc6900b3d59054c5ae1f03faf44fb34d258f57b3e9f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-02T09:01:58Z",
    "title_canon_sha256": "2f48ecc4de1e079bab579484a8d956acc375f7aa6edf9948ba24dfc4b899eed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01828",
    "kind": "arxiv",
    "version": 2
  }
}