{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:FRCXLZAYD2K7KNGYKJAG47PVLC","short_pith_number":"pith:FRCXLZAY","canonical_record":{"source":{"id":"2606.27449","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T18:18:32Z","cross_cats_sorted":[],"title_canon_sha256":"7baf064573302621040f6d1f90cb50fbc347aa0e1e485de275344a4a265e460c","abstract_canon_sha256":"c3f6cfb90de49e1c278faf8add6ec7df9c6768d716eb3486d6ecf5ad11d38afa"},"schema_version":"1.0"},"canonical_sha256":"2c4575e4181e95f534d852406e7df55887407ad37ce9a7c02b2d9f88cc4679a8","source":{"kind":"arxiv","id":"2606.27449","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:FRCXLZAYD2K7KNGYKJAG47PVLC","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27449","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2026-06-25T18:18:32Z","cross_cats_sorted":[],"title_canon_sha256":"7baf064573302621040f6d1f90cb50fbc347aa0e1e485de275344a4a265e460c","abstract_canon_sha256":"c3f6cfb90de49e1c278faf8add6ec7df9c6768d716eb3486d6ecf5ad11d38afa"},"schema_version":"1.0"},"canonical_sha256":"2c4575e4181e95f534d852406e7df55887407ad37ce9a7c02b2d9f88cc4679a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T00:14:06.630838Z","signature_b64":"KRcYWYNPSWHEDibi6mjx0CjJTrCVhKTxoAEJtXx112uuJIqttGqMGgd8RqxRWFVPeW49fPtWdyz6ib/K5WYRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c4575e4181e95f534d852406e7df55887407ad37ce9a7c02b2d9f88cc4679a8","last_reissued_at":"2026-06-29T00:14:06.630405Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T00:14:06.630405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27449","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-29T00:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VzNgKjK3pigojwOpwZxaGMi0vD4ngs9RMTMU3/5NmZB95cD2XUcbBSwpcqSrYPluJ8/T0HwrFGfhDH+j7CTYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:06:28.733267Z"},"content_sha256":"afbdc96f27f44740b6fa09125c86203bf28af3a06f9c590fcf1b55406608b3c5","schema_version":"1.0","event_id":"sha256:afbdc96f27f44740b6fa09125c86203bf28af3a06f9c590fcf1b55406608b3c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:FRCXLZAYD2K7KNGYKJAG47PVLC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Prism Transformer: Progressive Head Schedules for Hierarchical Attention Processing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Shubham Aggarwal","submitted_at":"2026-06-25T18:18:32Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27449","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27449/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-29T00:14:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iQ0DR/u3RasI7dqG/83BCdI4791Mg9DbfNhszPESK3Md1LjbHNNtna+F/I3FtpzWz6HhrV4DPgsf4KyulIl3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T04:06:28.733646Z"},"content_sha256":"c331a1b7caf975737a71da2188dc3746c834a02c42342d68843e9d731596a472","schema_version":"1.0","event_id":"sha256:c331a1b7caf975737a71da2188dc3746c834a02c42342d68843e9d731596a472"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/bundle.json","state_url":"https://pith.science/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T04:06:28Z","links":{"resolver":"https://pith.science/pith/FRCXLZAYD2K7KNGYKJAG47PVLC","bundle":"https://pith.science/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/bundle.json","state":"https://pith.science/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FRCXLZAYD2K7KNGYKJAG47PVLC/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0qWmiIh61KnpOqeJhW3W26zDfjtAZ6VofyBtW2pWpWjLnw0iZfODA2L1N0PvxHmUomf0L8wSYC6Yaz/kuC/+Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T04:06:28.735539Z","bundle_sha256":"dcccb6f6b9750c433c30482612431e9b799d2a786870be13e219022a83e2b0e4"}}