{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:UC3J7KFAO22HDF2Q3GRXYE4HNF","short_pith_number":"pith:UC3J7KFA","canonical_record":{"source":{"id":"2607.23763","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T17:17:42Z","cross_cats_sorted":["cs.DC"],"title_canon_sha256":"25ff3f39f148093ac132b3a2660ad4f3cf0e5b22d068618e9c6b3ecd17a5338c","abstract_canon_sha256":"fa428e2527f2762392406b65668a42b17672b62fada0029b7bbb170ba0a24f57"},"schema_version":"1.0"},"canonical_sha256":"a0b69fa8a076b4719750d9a37c138769545881a48cd3c8cf4d8aaa0f868d17d9","source":{"kind":"arxiv","id":"2607.23763","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23763","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23763v1","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23763","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"UC3J7KFAO22H","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_16","alias_value":"UC3J7KFAO22HDF2Q","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_8","alias_value":"UC3J7KFA","created_at":"2026-07-28T01:23:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:UC3J7KFAO22HDF2Q3GRXYE4HNF","target":"record","payload":{"canonical_record":{"source":{"id":"2607.23763","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T17:17:42Z","cross_cats_sorted":["cs.DC"],"title_canon_sha256":"25ff3f39f148093ac132b3a2660ad4f3cf0e5b22d068618e9c6b3ecd17a5338c","abstract_canon_sha256":"fa428e2527f2762392406b65668a42b17672b62fada0029b7bbb170ba0a24f57"},"schema_version":"1.0"},"canonical_sha256":"a0b69fa8a076b4719750d9a37c138769545881a48cd3c8cf4d8aaa0f868d17d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T01:23:10.064343Z","signature_b64":"f8Y0WyKqlUwNwpuIaIZMxyojt4g7fSwnbwiffFwz6Sn5av256H77Afn4hV7Oy9vfgUG3y/ZO5ehnPbBmLYtlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0b69fa8a076b4719750d9a37c138769545881a48cd3c8cf4d8aaa0f868d17d9","last_reissued_at":"2026-07-28T01:23:10.063524Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T01:23:10.063524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.23763","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":"2026-07-28T01:23:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C3/my7yn2gk1el1PgNBh8xjbvwqa55v0UE7Mrm6F+2xIIY8pHipvoSy5WewTJXkbBy64DXFjq5Njxv9jsjOFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:26:54.546304Z"},"content_sha256":"469ca5e642898bbb288daffe55300de15ea91025eb4014bfc830098f0bee9abf","schema_version":"1.0","event_id":"sha256:469ca5e642898bbb288daffe55300de15ea91025eb4014bfc830098f0bee9abf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:UC3J7KFAO22HDF2Q3GRXYE4HNF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parallel Cascaded Recursive Filtering on Multi-Core CPUs and GPUs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DC"],"primary_cat":"eess.SP","authors_text":"Bernd-Peter Paris, Haotian Zhai","submitted_at":"2026-07-26T17:17:42Z","abstract_excerpt":"The companion of this paper reformulated cascaded second-order (biquad) recursive filtering as a block-tridiagonal linear system and developed two parallel solution algorithms, PH factorization and cyclic reduction, reaching over 600 Megasamples per second on a single SIMD core. This paper scales that framework to multi-core CPUs and GPUs, where a new obstacle appears: the terminal outputs of each signal block group are the initial conditions of the next, so naively distributed groups serialize. The dependency is resolved by superposition -- each group's output splits into a zero-state respons"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23763","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/2607.23763/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":"2026-07-28T01:23:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lg3BM8ge589nd/PG9s2ZNQkgKMkdkdj5mAY68HF27vok53zWOPxU9D9lRym2dHXs4OJD+cUt9f59lSSUTEu4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T08:26:54.546795Z"},"content_sha256":"fa4cf448e691bc3253715870e20c201c667b21c6422997caf36203dd5e43a806","schema_version":"1.0","event_id":"sha256:fa4cf448e691bc3253715870e20c201c667b21c6422997caf36203dd5e43a806"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/bundle.json","state_url":"https://pith.science/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/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":"2026-08-07T08:26:54Z","links":{"resolver":"https://pith.science/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF","bundle":"https://pith.science/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/bundle.json","state":"https://pith.science/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UC3J7KFAO22HDF2Q3GRXYE4HNF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UC3J7KFAO22HDF2Q3GRXYE4HNF","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":"fa428e2527f2762392406b65668a42b17672b62fada0029b7bbb170ba0a24f57","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T17:17:42Z","title_canon_sha256":"25ff3f39f148093ac132b3a2660ad4f3cf0e5b22d068618e9c6b3ecd17a5338c"},"schema_version":"1.0","source":{"id":"2607.23763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.23763","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"arxiv_version","alias_value":"2607.23763v1","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.23763","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_12","alias_value":"UC3J7KFAO22H","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_16","alias_value":"UC3J7KFAO22HDF2Q","created_at":"2026-07-28T01:23:10Z"},{"alias_kind":"pith_short_8","alias_value":"UC3J7KFA","created_at":"2026-07-28T01:23:10Z"}],"graph_snapshots":[{"event_id":"sha256:fa4cf448e691bc3253715870e20c201c667b21c6422997caf36203dd5e43a806","target":"graph","created_at":"2026-07-28T01:23:10Z","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/2607.23763/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The companion of this paper reformulated cascaded second-order (biquad) recursive filtering as a block-tridiagonal linear system and developed two parallel solution algorithms, PH factorization and cyclic reduction, reaching over 600 Megasamples per second on a single SIMD core. This paper scales that framework to multi-core CPUs and GPUs, where a new obstacle appears: the terminal outputs of each signal block group are the initial conditions of the next, so naively distributed groups serialize. The dependency is resolved by superposition -- each group's output splits into a zero-state respons","authors_text":"Bernd-Peter Paris, Haotian Zhai","cross_cats":["cs.DC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T17:17:42Z","title":"Parallel Cascaded Recursive Filtering on Multi-Core CPUs and GPUs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.23763","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":"sha256:469ca5e642898bbb288daffe55300de15ea91025eb4014bfc830098f0bee9abf","target":"record","created_at":"2026-07-28T01:23:10Z","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":"fa428e2527f2762392406b65668a42b17672b62fada0029b7bbb170ba0a24f57","cross_cats_sorted":["cs.DC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-07-26T17:17:42Z","title_canon_sha256":"25ff3f39f148093ac132b3a2660ad4f3cf0e5b22d068618e9c6b3ecd17a5338c"},"schema_version":"1.0","source":{"id":"2607.23763","kind":"arxiv","version":1}},"canonical_sha256":"a0b69fa8a076b4719750d9a37c138769545881a48cd3c8cf4d8aaa0f868d17d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0b69fa8a076b4719750d9a37c138769545881a48cd3c8cf4d8aaa0f868d17d9","first_computed_at":"2026-07-28T01:23:10.063524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T01:23:10.063524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f8Y0WyKqlUwNwpuIaIZMxyojt4g7fSwnbwiffFwz6Sn5av256H77Afn4hV7Oy9vfgUG3y/ZO5ehnPbBmLYtlDA==","signature_status":"signed_v1","signed_at":"2026-07-28T01:23:10.064343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.23763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:469ca5e642898bbb288daffe55300de15ea91025eb4014bfc830098f0bee9abf","sha256:fa4cf448e691bc3253715870e20c201c667b21c6422997caf36203dd5e43a806"],"state_sha256":"8feb0d4efaaa8c155e19c3df03dc69f1ea5a48de96ebe0ff8697eac934e9970b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OGUFKslx/7vvCN4yki/bTVTI05gjvr8NvtoEl4FWwfGFSpbzO+CkKSQivR3NKj47cP5Cz1/VfrVSB1FuuBFTAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T08:26:54.551699Z","bundle_sha256":"ab49936b9fc5d1c4a362afbb7345db946e7f8c314682fd693fe4caa9bcd3080e"}}