{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LMF6IEWIUQANVXPPN6AZO7DNBM","short_pith_number":"pith:LMF6IEWI","canonical_record":{"source":{"id":"1409.5099","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-16T16:02:02Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"e82b9b6e732f969284135208fa2c020b372db24c1a11d7154c6dc7ec298e1297","abstract_canon_sha256":"cb84d00dc00fc473de7a346e8eb089b46e0cb57b50f3ff8c687dbb5c59c1ac48"},"schema_version":"1.0"},"canonical_sha256":"5b0be412c8a400daddef6f81977c6d0b3c7a7d5e2dd3f34e07db60cb239aa175","source":{"kind":"arxiv","id":"1409.5099","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5099","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5099v1","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5099","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"LMF6IEWIUQAN","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LMF6IEWIUQANVXPP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LMF6IEWI","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LMF6IEWIUQANVXPPN6AZO7DNBM","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5099","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-16T16:02:02Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"e82b9b6e732f969284135208fa2c020b372db24c1a11d7154c6dc7ec298e1297","abstract_canon_sha256":"cb84d00dc00fc473de7a346e8eb089b46e0cb57b50f3ff8c687dbb5c59c1ac48"},"schema_version":"1.0"},"canonical_sha256":"5b0be412c8a400daddef6f81977c6d0b3c7a7d5e2dd3f34e07db60cb239aa175","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:37.850039Z","signature_b64":"aHr88heDuPQ/Owh7ZjV14yUXkV0npkVyvHBOVg71FLscdbJyuN+2ADzefkJT0niSQAcWkgYYkRpjGtSAUawrAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b0be412c8a400daddef6f81977c6d0b3c7a7d5e2dd3f34e07db60cb239aa175","last_reissued_at":"2026-05-18T02:42:37.849325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:37.849325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5099","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":"2026-05-18T02:42:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dwVB9Wm5sIQygjlUpk6ChqGG0VVnD5vT4M189aOIdtowZYd/dW3OTaeK7cNLofckmS6IS/XbECjzAPcLkp5GBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:19:36.421765Z"},"content_sha256":"29b5ef571ee7c3aa7feefd33ce8b1ac7a408d3c367e65b09717c77dec5cb44c4","schema_version":"1.0","event_id":"sha256:29b5ef571ee7c3aa7feefd33ce8b1ac7a408d3c367e65b09717c77dec5cb44c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LMF6IEWIUQANVXPPN6AZO7DNBM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Least Squares Algorithm for Signal Matched Synthesis Filter Bank: Part II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Binish Fatimah, S. D. Joshi","submitted_at":"2014-09-16T16:02:02Z","abstract_excerpt":"In the companion paper, we proposed a concept of signal matched whitening filter bank and developed a time and order recursive, fast least squares algorithm for the same. Objective of part II of the paper is two fold: first is to define a concept of signal matched synthesis filter bank, hence combining definitions of part I and part II we obtain a filter bank matched to a given signal. We also develop a fast time and order recursive, least squares algorithm for obtaining the same. The synthesis filters, obtained here, reconstruct the given signal only and not every signal from the finite energ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5099","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":""},"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":"2026-05-18T02:42:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"shEtrtA6TKBk5YCHYlTTJjEjSIcBsyLU2FIUnNETmkOiuRwXf0hIlvvuYMQcDb3v93260sb1BAxNkbMlrgoTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:19:36.422116Z"},"content_sha256":"f241d05320074d4d40a3ad0b555bd53eeed27c5b23ac670247d6482a5dec5918","schema_version":"1.0","event_id":"sha256:f241d05320074d4d40a3ad0b555bd53eeed27c5b23ac670247d6482a5dec5918"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/bundle.json","state_url":"https://pith.science/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/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":"2026-06-26T01:19:36Z","links":{"resolver":"https://pith.science/pith/LMF6IEWIUQANVXPPN6AZO7DNBM","bundle":"https://pith.science/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/bundle.json","state":"https://pith.science/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMF6IEWIUQANVXPPN6AZO7DNBM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LMF6IEWIUQANVXPPN6AZO7DNBM","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":"cb84d00dc00fc473de7a346e8eb089b46e0cb57b50f3ff8c687dbb5c59c1ac48","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-16T16:02:02Z","title_canon_sha256":"e82b9b6e732f969284135208fa2c020b372db24c1a11d7154c6dc7ec298e1297"},"schema_version":"1.0","source":{"id":"1409.5099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5099","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5099v1","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5099","created_at":"2026-05-18T02:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"LMF6IEWIUQAN","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LMF6IEWIUQANVXPP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LMF6IEWI","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:f241d05320074d4d40a3ad0b555bd53eeed27c5b23ac670247d6482a5dec5918","target":"graph","created_at":"2026-05-18T02:42:37Z","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"},"paper":{"abstract_excerpt":"In the companion paper, we proposed a concept of signal matched whitening filter bank and developed a time and order recursive, fast least squares algorithm for the same. Objective of part II of the paper is two fold: first is to define a concept of signal matched synthesis filter bank, hence combining definitions of part I and part II we obtain a filter bank matched to a given signal. We also develop a fast time and order recursive, least squares algorithm for obtaining the same. The synthesis filters, obtained here, reconstruct the given signal only and not every signal from the finite energ","authors_text":"Binish Fatimah, S. D. Joshi","cross_cats":["math.IT","math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-16T16:02:02Z","title":"Exact Least Squares Algorithm for Signal Matched Synthesis Filter Bank: Part II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5099","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":"sha256:29b5ef571ee7c3aa7feefd33ce8b1ac7a408d3c367e65b09717c77dec5cb44c4","target":"record","created_at":"2026-05-18T02:42:37Z","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":"cb84d00dc00fc473de7a346e8eb089b46e0cb57b50f3ff8c687dbb5c59c1ac48","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-16T16:02:02Z","title_canon_sha256":"e82b9b6e732f969284135208fa2c020b372db24c1a11d7154c6dc7ec298e1297"},"schema_version":"1.0","source":{"id":"1409.5099","kind":"arxiv","version":1}},"canonical_sha256":"5b0be412c8a400daddef6f81977c6d0b3c7a7d5e2dd3f34e07db60cb239aa175","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b0be412c8a400daddef6f81977c6d0b3c7a7d5e2dd3f34e07db60cb239aa175","first_computed_at":"2026-05-18T02:42:37.849325Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:37.849325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHr88heDuPQ/Owh7ZjV14yUXkV0npkVyvHBOVg71FLscdbJyuN+2ADzefkJT0niSQAcWkgYYkRpjGtSAUawrAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:37.850039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29b5ef571ee7c3aa7feefd33ce8b1ac7a408d3c367e65b09717c77dec5cb44c4","sha256:f241d05320074d4d40a3ad0b555bd53eeed27c5b23ac670247d6482a5dec5918"],"state_sha256":"8cb87e0f31a2b3de5a2e82c34b1d24e6693d1faac4f52c45f00f503628be8b10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"trmHjLRwTrwyJe+Wl+0+uaWRcTsElnOO8AGPUWrBjrGZawjz/55FbtIOKReJgfoXPZQzlYq1iQichHCdWC4YAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:19:36.424041Z","bundle_sha256":"d31be1d7f6c1294dd6bfbb0e286b803e68b0990773ed9b4a58112455a285cd12"}}