{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RBR5UVUPSM62H6AIJEYILV4TBI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2c77d669f7af0779f1d3fb528b5b5751e3df37e832683ea8bb96f091f0f79464","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-12T19:00:17Z","title_canon_sha256":"501a8c6c4f696e19366cba683d804ceeef4b8dfa9b82e95be6fb7e1cf409e4cf"},"schema_version":"1.0","source":{"id":"2605.18826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18826","created_at":"2026-05-20T00:06:24Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18826v1","created_at":"2026-05-20T00:06:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18826","created_at":"2026-05-20T00:06:24Z"},{"alias_kind":"pith_short_12","alias_value":"RBR5UVUPSM62","created_at":"2026-05-20T00:06:24Z"},{"alias_kind":"pith_short_16","alias_value":"RBR5UVUPSM62H6AI","created_at":"2026-05-20T00:06:24Z"},{"alias_kind":"pith_short_8","alias_value":"RBR5UVUP","created_at":"2026-05-20T00:06:24Z"}],"graph_snapshots":[{"event_id":"sha256:7c0682fb67fe08d631ef49845a0a85ec90c2a9d6185ce8ee3628aed5f9ee97ff","target":"graph","created_at":"2026-05-20T00:06:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.18826/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The attention interaction matrix $QK^{\\top}$ contains two entangled computations: a skew-symmetric component that redistributes information between positions (routing) and a symmetric component that scales mutual relevance (filtering). We decompose 1776 heads across five pretrained transformers and find routing operating at low rank, well below the routing capacity allocated by the weight kernel. We introduce $S$-$D$ attention as a diagnostic parameterization that disentangles routing from filtering by construction with guaranteed stability ($\\mathrm{Re}(\\lambda) \\le 0$) and trains stably with","authors_text":"Rehan Kapadia, Shafayeth Jamil","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-12T19:00:17Z","title":"The Routing and Filtering Structure of Attention"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18826","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8e76eed646b92f78902f688693f1779f80b5d99c1209af9fa63613efc3161d86","target":"record","created_at":"2026-05-20T00:06:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2c77d669f7af0779f1d3fb528b5b5751e3df37e832683ea8bb96f091f0f79464","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-12T19:00:17Z","title_canon_sha256":"501a8c6c4f696e19366cba683d804ceeef4b8dfa9b82e95be6fb7e1cf409e4cf"},"schema_version":"1.0","source":{"id":"2605.18826","kind":"arxiv","version":1}},"canonical_sha256":"8863da568f933da3f808493085d7930a0d2ff7166c3f53581c62afb4d2507b92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8863da568f933da3f808493085d7930a0d2ff7166c3f53581c62afb4d2507b92","first_computed_at":"2026-05-20T00:06:24.623834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:24.623834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kGWzS1ikq0ZIfswFGbjbLGT0TgRik5NaiZKQeCMOkyMOvZ2tbN6kWbqd2emrbGsSn/TItGJiOFDzTNfgEV8vAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:24.624680Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e76eed646b92f78902f688693f1779f80b5d99c1209af9fa63613efc3161d86","sha256:7c0682fb67fe08d631ef49845a0a85ec90c2a9d6185ce8ee3628aed5f9ee97ff"],"state_sha256":"f498c2feb105fef63dfd257993368330e07241a92083f17622a0cb487ff4b708"}