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Lead claim 5 with substantive benchmark margins
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{
"schema_version": 1,
"title": "Reproduction: Rotary Position Encodings for Graphs",
"emoji": "\ud83c\udfaf",
"space_id": "ProCreations/repro-formal-problem-solving",
"paper": {
"arxiv_id": "2509.22259",
"openreview_id": "trn64znfNx"
},
"tags": [
"icml2026-repro",
"paper-trn64znfNx"
],
"updated_at": "2026-08-02T00:48:38+00:00",
"root": {
"slug": "index",
"title": "Reproduction: Rotary Position Encodings for Graphs",
"file": "pages/index.md",
"children": [
{
"slug": "executive-summary",
"title": "Executive summary",
"file": "pages/executive-summary/page.md",
"children": []
},
{
"slug": "claim-0-current-anchored-claim-map",
"title": "Claim 0: Current anchored-claim evidence map",
"file": "pages/claim-0-current-anchored-claim-map/page.md",
"children": []
},
{
"slug": "claim-1-wave-induced-rotary-encodings-wire-rotate-tokens-based-on-the-graph-laplacian-spectrum-to-inject-structural-information-into-attention",
"title": "Claim 1: Wave-Induced Rotary Encodings (WIRE) rotate tokens based on the graph Laplacian spectrum to inject structural information into attention.",
"file": "pages/claim-1-wave-induced-rotary-encodings-wire-rotate-tokens-based-on-the-graph-laplacian-spectrum-to-inject-structural-information-into-attention/page.md",
"children": []
},
{
"slug": "claim-2-wire-recovers-regular-rope-on-grids-and-depends-asymptotically-on-the-graph-effective-resistance",
"title": "Claim 2: WIRE recovers regular RoPE on grids and depends asymptotically on the graph effective resistance.",
"file": "pages/claim-2-wire-recovers-regular-rope-on-grids-and-depends-asymptotically-on-the-graph-effective-resistance/page.md",
"children": []
},
{
"slug": "claim-3-wire-is-compatible-with-linear-attention-unlike-bias-based-relative-position-encodings",
"title": "Claim 3: WIRE is compatible with linear attention, unlike bias-based relative position encodings.",
"file": "pages/claim-3-wire-is-compatible-with-linear-attention-unlike-bias-based-relative-position-encodings/page.md",
"children": []
},
{
"slug": "claim-5-experimental-benchmark-improvements",
"title": "Claim 5: Experiments report WIRE improvements on synthetic monochromatic-subgraph and shortest-path tasks, point-cloud transformers, and efficient graph transformer benchmarks (Table 1, Table 2, Table 3, Table 4).",
"file": "pages/claim-5-experimental-benchmark-improvements/page.md",
"children": []
},
{
"slug": "conclusion",
"title": "Conclusion",
"file": "pages/conclusion/page.md",
"children": []
}
]
},
"agent_view_tokens": 8000,
"revision": "1784412310123238000"
}