{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QMMFYFGOMAWHOZRTZCIPFA3P2I","short_pith_number":"pith:QMMFYFGO","canonical_record":{"source":{"id":"2404.16327","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-04-25T04:27:25Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"8af6e03d22d1002d6bae45a50c970f810b04bbc35d763a98c29c860e304fae6c","abstract_canon_sha256":"ab86a81c150b3ae3712e30c4ea0ceda82687fecaa6c2220b9c07aaa559f181a4"},"schema_version":"1.0"},"canonical_sha256":"83185c14ce602c776633c890f2836fd236611bf15f39bdbd8f1b40b6b0bd86a9","source":{"kind":"arxiv","id":"2404.16327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.16327","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"2404.16327v1","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.16327","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"QMMFYFGOMAWH","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_16","alias_value":"QMMFYFGOMAWHOZRT","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_8","alias_value":"QMMFYFGO","created_at":"2026-07-05T08:58:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QMMFYFGOMAWHOZRTZCIPFA3P2I","target":"record","payload":{"canonical_record":{"source":{"id":"2404.16327","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-04-25T04:27:25Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"8af6e03d22d1002d6bae45a50c970f810b04bbc35d763a98c29c860e304fae6c","abstract_canon_sha256":"ab86a81c150b3ae3712e30c4ea0ceda82687fecaa6c2220b9c07aaa559f181a4"},"schema_version":"1.0"},"canonical_sha256":"83185c14ce602c776633c890f2836fd236611bf15f39bdbd8f1b40b6b0bd86a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:58:43.734808Z","signature_b64":"2VF7wQLYcYT/uyySaDHxDg4UZwJC2VViCEg/ZkXaOenjC7reQnlex6n63jHG9peIBmMP6DVTVNLtXGft9sPAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83185c14ce602c776633c890f2836fd236611bf15f39bdbd8f1b40b6b0bd86a9","last_reissued_at":"2026-07-05T08:58:43.734376Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:58:43.734376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.16327","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":"2026-07-05T08:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atKoUNQtfoUe6kQ46TfHv6sqH05ilu320qM1hLd1J3VAPNOZw3jUvD9LuR72zcvYrE8dALOtsGM5s0ALu4mwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:48:29.086523Z"},"content_sha256":"7db3cb4a702879f29c2c49f38dd78f6ed21dc43d67d66e1b8142b2442ec6b942","schema_version":"1.0","event_id":"sha256:7db3cb4a702879f29c2c49f38dd78f6ed21dc43d67d66e1b8142b2442ec6b942"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QMMFYFGOMAWHOZRTZCIPFA3P2I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Step-Chirp Sequences With Flexible Bandwidth","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["eess.SP","math.IT"],"primary_cat":"cs.IT","authors_text":"Cheng Du, Yi Jiang","submitted_at":"2024-04-25T04:27:25Z","abstract_excerpt":"Sequences with low aperiodic autocorrelation sidelobes have been extensively researched in literatures. With sufficiently low integrated sidelobe level (ISL), their power spectrums are asymptotically flat over the whole frequency domain. However, for the beam sweeping in the massive multi-input multi-output (MIMO) broadcast channels, the flat spectrum should be constrained in a passband with tunable bandwidth to achieve the flexible tradeoffs between the beamforming gain and the beam sweeping time. Motivated by this application, we construct a family of sequences termed the generalized step-ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.16327","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/2404.16327/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":"2026-07-05T08:58:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uj6yGQuC6g+oKZjIibPNBJccsq4Xadbu1JOZBcbk31WHCphPjdENfzih+hpegQ+Q8qSwCUgEL6ESbfJg/yc3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T00:48:29.087037Z"},"content_sha256":"5338cba669ee33553bbc3bdf463847febfc2ff472e672266dd27cd3407675d94","schema_version":"1.0","event_id":"sha256:5338cba669ee33553bbc3bdf463847febfc2ff472e672266dd27cd3407675d94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/bundle.json","state_url":"https://pith.science/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/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":"2026-08-07T00:48:29Z","links":{"resolver":"https://pith.science/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I","bundle":"https://pith.science/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/bundle.json","state":"https://pith.science/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMMFYFGOMAWHOZRTZCIPFA3P2I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QMMFYFGOMAWHOZRTZCIPFA3P2I","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":"ab86a81c150b3ae3712e30c4ea0ceda82687fecaa6c2220b9c07aaa559f181a4","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-04-25T04:27:25Z","title_canon_sha256":"8af6e03d22d1002d6bae45a50c970f810b04bbc35d763a98c29c860e304fae6c"},"schema_version":"1.0","source":{"id":"2404.16327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.16327","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"2404.16327v1","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.16327","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"QMMFYFGOMAWH","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_16","alias_value":"QMMFYFGOMAWHOZRT","created_at":"2026-07-05T08:58:43Z"},{"alias_kind":"pith_short_8","alias_value":"QMMFYFGO","created_at":"2026-07-05T08:58:43Z"}],"graph_snapshots":[{"event_id":"sha256:5338cba669ee33553bbc3bdf463847febfc2ff472e672266dd27cd3407675d94","target":"graph","created_at":"2026-07-05T08:58:43Z","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/2404.16327/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Sequences with low aperiodic autocorrelation sidelobes have been extensively researched in literatures. With sufficiently low integrated sidelobe level (ISL), their power spectrums are asymptotically flat over the whole frequency domain. However, for the beam sweeping in the massive multi-input multi-output (MIMO) broadcast channels, the flat spectrum should be constrained in a passband with tunable bandwidth to achieve the flexible tradeoffs between the beamforming gain and the beam sweeping time. Motivated by this application, we construct a family of sequences termed the generalized step-ch","authors_text":"Cheng Du, Yi Jiang","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-04-25T04:27:25Z","title":"Generalized Step-Chirp Sequences With Flexible Bandwidth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.16327","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":"sha256:7db3cb4a702879f29c2c49f38dd78f6ed21dc43d67d66e1b8142b2442ec6b942","target":"record","created_at":"2026-07-05T08:58:43Z","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":"ab86a81c150b3ae3712e30c4ea0ceda82687fecaa6c2220b9c07aaa559f181a4","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2024-04-25T04:27:25Z","title_canon_sha256":"8af6e03d22d1002d6bae45a50c970f810b04bbc35d763a98c29c860e304fae6c"},"schema_version":"1.0","source":{"id":"2404.16327","kind":"arxiv","version":1}},"canonical_sha256":"83185c14ce602c776633c890f2836fd236611bf15f39bdbd8f1b40b6b0bd86a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83185c14ce602c776633c890f2836fd236611bf15f39bdbd8f1b40b6b0bd86a9","first_computed_at":"2026-07-05T08:58:43.734376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:43.734376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2VF7wQLYcYT/uyySaDHxDg4UZwJC2VViCEg/ZkXaOenjC7reQnlex6n63jHG9peIBmMP6DVTVNLtXGft9sPAAg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:43.734808Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.16327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7db3cb4a702879f29c2c49f38dd78f6ed21dc43d67d66e1b8142b2442ec6b942","sha256:5338cba669ee33553bbc3bdf463847febfc2ff472e672266dd27cd3407675d94"],"state_sha256":"1e1b5c2befe71e89e29e6be064e9ccdd47d530ddb1bdbf01db3b79234790ee6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6vSigD3OdeNalDB5LNtyVzHBWNqznJuxutoqgqRRF/vt862NTL1HYJWiivqEhDqBtY74wfIeORNnkpH4h/4NDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T00:48:29.091689Z","bundle_sha256":"2bfa6c66e3480d981738d69133a061066149a214b6e07ea714eff999c06283f7"}}