{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MQA57K27NEH3A47E3KYL47KEI4","short_pith_number":"pith:MQA57K27","canonical_record":{"source":{"id":"2607.25507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-07-28T09:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"3326a34b904f5b3e10b0b931d880411beabfb41f47e0ee7bea08ba6f20ecb0a7","abstract_canon_sha256":"d35fff9dd8f7013e506d273b74812c6b13dd415450936337cc77220730b588ad"},"schema_version":"1.0"},"canonical_sha256":"6401dfab5f690fb073e4dab0be7d444717b60693e14b2362ee4849d531452eb0","source":{"kind":"arxiv","id":"2607.25507","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25507","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25507v1","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25507","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"MQA57K27NEH3","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_16","alias_value":"MQA57K27NEH3A47E","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_8","alias_value":"MQA57K27","created_at":"2026-07-29T01:25:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MQA57K27NEH3A47E3KYL47KEI4","target":"record","payload":{"canonical_record":{"source":{"id":"2607.25507","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-07-28T09:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"3326a34b904f5b3e10b0b931d880411beabfb41f47e0ee7bea08ba6f20ecb0a7","abstract_canon_sha256":"d35fff9dd8f7013e506d273b74812c6b13dd415450936337cc77220730b588ad"},"schema_version":"1.0"},"canonical_sha256":"6401dfab5f690fb073e4dab0be7d444717b60693e14b2362ee4849d531452eb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:25:18.868849Z","signature_b64":"071L2oQmRY1neBFSqX0IcYlpplGXgQsm94JYhz4pVRJ/QDBWThxnyzgwdtJF+WY5nYyMhMXFg60wAL6MoZS9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6401dfab5f690fb073e4dab0be7d444717b60693e14b2362ee4849d531452eb0","last_reissued_at":"2026-07-29T01:25:18.867950Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:25:18.867950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.25507","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":"2026-07-29T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PG7OL5qLsoBBsaNh81vH0MRizyaW8mSpkB8y51v+57egFAbc+tHcnvsWht46iVxVi/E1LSzAhb5Sd+WI7R0DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T03:31:37.593977Z"},"content_sha256":"269c0f836721f231a0e4b7150ff7be71457bf561653d73fd31c3e878f60fa736","schema_version":"1.0","event_id":"sha256:269c0f836721f231a0e4b7150ff7be71457bf561653d73fd31c3e878f60fa736"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MQA57K27NEH3A47E3KYL47KEI4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase Structure in Rotary Attention: A Spectral Framework for Semantic Continuity and Execution-Boundary Governance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CL","authors_text":"Abraham Chachamovits","submitted_at":"2026-07-28T09:41:05Z","abstract_excerpt":"Transformer language models are usually analyzed through vector geometry, yet ordered context and rotary position encoding introduce explicit phase structure into query-key interactions. This paper develops a bounded spectral framework for examining rotary phase alignment, hidden-state continuity, and semantic drift without treating language models as literal physical wave systems. It first identifies ordered hidden-state sequences, rather than vocabulary indices, as valid domains for spectral decomposition. It then derives the Rotary Position Embedding (RoPE) attention score as a sum of magni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25507","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/2607.25507/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":"2026-07-29T01:25:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oRnUoUwpdOW2duEt43y+0NdeOLIktXPuFvLxusw/zikbxOsplI3fzyrTL1aQVB+Wa9WPkcaYHnz2xj9kdyEgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T03:31:37.594544Z"},"content_sha256":"5633883526fd5eece86c402cab5313a2d0087b9f069d077c78e83a1831407088","schema_version":"1.0","event_id":"sha256:5633883526fd5eece86c402cab5313a2d0087b9f069d077c78e83a1831407088"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MQA57K27NEH3A47E3KYL47KEI4/bundle.json","state_url":"https://pith.science/pith/MQA57K27NEH3A47E3KYL47KEI4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MQA57K27NEH3A47E3KYL47KEI4/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":"2026-08-20T03:31:37Z","links":{"resolver":"https://pith.science/pith/MQA57K27NEH3A47E3KYL47KEI4","bundle":"https://pith.science/pith/MQA57K27NEH3A47E3KYL47KEI4/bundle.json","state":"https://pith.science/pith/MQA57K27NEH3A47E3KYL47KEI4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MQA57K27NEH3A47E3KYL47KEI4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MQA57K27NEH3A47E3KYL47KEI4","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":"d35fff9dd8f7013e506d273b74812c6b13dd415450936337cc77220730b588ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-07-28T09:41:05Z","title_canon_sha256":"3326a34b904f5b3e10b0b931d880411beabfb41f47e0ee7bea08ba6f20ecb0a7"},"schema_version":"1.0","source":{"id":"2607.25507","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25507","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25507v1","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25507","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_12","alias_value":"MQA57K27NEH3","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_16","alias_value":"MQA57K27NEH3A47E","created_at":"2026-07-29T01:25:18Z"},{"alias_kind":"pith_short_8","alias_value":"MQA57K27","created_at":"2026-07-29T01:25:18Z"}],"graph_snapshots":[{"event_id":"sha256:5633883526fd5eece86c402cab5313a2d0087b9f069d077c78e83a1831407088","target":"graph","created_at":"2026-07-29T01:25:18Z","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/2607.25507/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transformer language models are usually analyzed through vector geometry, yet ordered context and rotary position encoding introduce explicit phase structure into query-key interactions. This paper develops a bounded spectral framework for examining rotary phase alignment, hidden-state continuity, and semantic drift without treating language models as literal physical wave systems. It first identifies ordered hidden-state sequences, rather than vocabulary indices, as valid domains for spectral decomposition. It then derives the Rotary Position Embedding (RoPE) attention score as a sum of magni","authors_text":"Abraham Chachamovits","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-07-28T09:41:05Z","title":"Phase Structure in Rotary Attention: A Spectral Framework for Semantic Continuity and Execution-Boundary Governance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25507","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":"sha256:269c0f836721f231a0e4b7150ff7be71457bf561653d73fd31c3e878f60fa736","target":"record","created_at":"2026-07-29T01:25:18Z","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":"d35fff9dd8f7013e506d273b74812c6b13dd415450936337cc77220730b588ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CL","submitted_at":"2026-07-28T09:41:05Z","title_canon_sha256":"3326a34b904f5b3e10b0b931d880411beabfb41f47e0ee7bea08ba6f20ecb0a7"},"schema_version":"1.0","source":{"id":"2607.25507","kind":"arxiv","version":1}},"canonical_sha256":"6401dfab5f690fb073e4dab0be7d444717b60693e14b2362ee4849d531452eb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6401dfab5f690fb073e4dab0be7d444717b60693e14b2362ee4849d531452eb0","first_computed_at":"2026-07-29T01:25:18.867950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:25:18.867950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"071L2oQmRY1neBFSqX0IcYlpplGXgQsm94JYhz4pVRJ/QDBWThxnyzgwdtJF+WY5nYyMhMXFg60wAL6MoZS9Dw==","signature_status":"signed_v1","signed_at":"2026-07-29T01:25:18.868849Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25507","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:269c0f836721f231a0e4b7150ff7be71457bf561653d73fd31c3e878f60fa736","sha256:5633883526fd5eece86c402cab5313a2d0087b9f069d077c78e83a1831407088"],"state_sha256":"0b35b631510ed3a8053a6354b2da9e048a6187b560c017720f558050376a7e12"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zPbiHI4eqQngxBb0tWRAzYDpmRyELDWb9yGH46TM6Vf3CLIvKVZU/ph86decZkXbHgGKrJgOrZJN6CzeK+VHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T03:31:37.599388Z","bundle_sha256":"e16cda2493a2df04ad89ec7cc5da04a278c4bc2a525605470f8e76748a2ebe69"}}