{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:FRCXLZAYD2K7KNGYKJAG47PVLC","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":"c3f6cfb90de49e1c278faf8add6ec7df9c6768d716eb3486d6ecf5ad11d38afa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T18:18:32Z","title_canon_sha256":"7baf064573302621040f6d1f90cb50fbc347aa0e1e485de275344a4a265e460c"},"schema_version":"1.0","source":{"id":"2606.27449","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27449","created_at":"2026-06-29T00:14:06Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27449v1","created_at":"2026-06-29T00:14:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27449","created_at":"2026-06-29T00:14:06Z"},{"alias_kind":"pith_short_12","alias_value":"FRCXLZAYD2K7","created_at":"2026-06-29T00:14:06Z"},{"alias_kind":"pith_short_16","alias_value":"FRCXLZAYD2K7KNGY","created_at":"2026-06-29T00:14:06Z"},{"alias_kind":"pith_short_8","alias_value":"FRCXLZAY","created_at":"2026-06-29T00:14:06Z"}],"graph_snapshots":[{"event_id":"sha256:c331a1b7caf975737a71da2188dc3746c834a02c42342d68843e9d731596a472","target":"graph","created_at":"2026-06-29T00:14:06Z","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/2606.27449/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-head attention conventionally partitions the hidden dimension equally across all heads at every layer, enforcing an identical representational subspace dimension (dh = dmodel/h) throughout the models depth. In this work, we identify this uniform allocation as a fundamental structural bottleneck: due to their restricted dimensional space, early-layer heads are unable to faithfully capture complex, high-dimensional contextual patterns. To resolve this, we introduce the Prism Transformer, a novel architectural paradigm that replaces the static, uniform head configuration with a progressive ","authors_text":"Shubham Aggarwal","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T18:18:32Z","title":"Prism Transformer: Progressive Head Schedules for Hierarchical Attention Processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27449","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:afbdc96f27f44740b6fa09125c86203bf28af3a06f9c590fcf1b55406608b3c5","target":"record","created_at":"2026-06-29T00:14:06Z","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":"c3f6cfb90de49e1c278faf8add6ec7df9c6768d716eb3486d6ecf5ad11d38afa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T18:18:32Z","title_canon_sha256":"7baf064573302621040f6d1f90cb50fbc347aa0e1e485de275344a4a265e460c"},"schema_version":"1.0","source":{"id":"2606.27449","kind":"arxiv","version":1}},"canonical_sha256":"2c4575e4181e95f534d852406e7df55887407ad37ce9a7c02b2d9f88cc4679a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c4575e4181e95f534d852406e7df55887407ad37ce9a7c02b2d9f88cc4679a8","first_computed_at":"2026-06-29T00:14:06.630405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T00:14:06.630405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KRcYWYNPSWHEDibi6mjx0CjJTrCVhKTxoAEJtXx112uuJIqttGqMGgd8RqxRWFVPeW49fPtWdyz6ib/K5WYRAQ==","signature_status":"signed_v1","signed_at":"2026-06-29T00:14:06.630838Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27449","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afbdc96f27f44740b6fa09125c86203bf28af3a06f9c590fcf1b55406608b3c5","sha256:c331a1b7caf975737a71da2188dc3746c834a02c42342d68843e9d731596a472"],"state_sha256":"3984006eac1b00a9b3a796710dfdc1971ba5be409fa52daacd265b4d8d124711"}