{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RRAMQK4JOL645RR4LO2V3CTCCY","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":"040487d392061695448b3fda68dc71530fedbd73fa76bf00a140f4b4ce469444","cross_cats_sorted":["cs.NA","cs.SD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-06-29T19:49:30Z","title_canon_sha256":"34fd7b361a0744ed285f30a046a9ff1950477bd8ae1ee760638226b5c5134de3"},"schema_version":"1.0","source":{"id":"0906.5202","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.5202","created_at":"2026-06-03T23:06:27Z"},{"alias_kind":"arxiv_version","alias_value":"0906.5202v2","created_at":"2026-06-03T23:06:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5202","created_at":"2026-06-03T23:06:27Z"},{"alias_kind":"pith_short_12","alias_value":"RRAMQK4JOL64","created_at":"2026-06-03T23:06:27Z"},{"alias_kind":"pith_short_16","alias_value":"RRAMQK4JOL645RR4","created_at":"2026-06-03T23:06:27Z"},{"alias_kind":"pith_short_8","alias_value":"RRAMQK4J","created_at":"2026-06-03T23:06:27Z"}],"graph_snapshots":[{"event_id":"sha256:586645509ff1b4b52f0c9dd96f7d195a6b739b20ebb5c7368a8e5cda0be02672","target":"graph","created_at":"2026-06-03T23:06:27Z","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/0906.5202/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we introduce a broad family of adaptive, linear time-frequency representations termed superposition frames, and show that they admit desirable fast overlap-add reconstruction properties akin to standard short-time Fourier techniques. This approach stands in contrast to many adaptive time-frequency representations in the extant literature, which, while more flexible than standard fixed-resolution approaches, typically fail to provide efficient reconstruction and often lack the regular structure necessary for precise frame-theoretic analysis. Our main technical contributions come","authors_text":"Daniel Rudoy, Patrick J. Wolfe, Prabahan Basu","cross_cats":["cs.NA","cs.SD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-06-29T19:49:30Z","title":"Superposition frames for adaptive time-frequency analysis and fast reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5202","kind":"arxiv","version":2},"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":"sha256:3631ebdd1a99369d071ea7063a2afa0e78ba04597520c97e362fa59fed0efe8e","target":"record","created_at":"2026-06-03T23:06:27Z","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":"040487d392061695448b3fda68dc71530fedbd73fa76bf00a140f4b4ce469444","cross_cats_sorted":["cs.NA","cs.SD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-06-29T19:49:30Z","title_canon_sha256":"34fd7b361a0744ed285f30a046a9ff1950477bd8ae1ee760638226b5c5134de3"},"schema_version":"1.0","source":{"id":"0906.5202","kind":"arxiv","version":2}},"canonical_sha256":"8c40c82b8972fdcec63c5bb55d8a62161ce6d35c80bcc9c52f15b11ae7a99481","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c40c82b8972fdcec63c5bb55d8a62161ce6d35c80bcc9c52f15b11ae7a99481","first_computed_at":"2026-06-03T23:06:27.489229Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:27.489229Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8TAujlr9i+BK/iOEYjD91AMEXlDL/k1vB8Yl1D4jLns0B0gOSZxQzvqiTgg6Ed+bF2iephZQrFt6DdOZc5xlBA==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:27.489671Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.5202","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3631ebdd1a99369d071ea7063a2afa0e78ba04597520c97e362fa59fed0efe8e","sha256:586645509ff1b4b52f0c9dd96f7d195a6b739b20ebb5c7368a8e5cda0be02672"],"state_sha256":"19841a73f0cb1874626a4d3d97aaeb7efbef47a4968ff7e810fd146de98e6005"}