{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:A57BCDH5WNIC47HVSGBPZDPW27","short_pith_number":"pith:A57BCDH5","canonical_record":{"source":{"id":"2606.26420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-06-24T22:22:47Z","cross_cats_sorted":[],"title_canon_sha256":"deb57ab2f8c8c25469c6fa0367bda627ed2fb29e7dcaade304152ae23b75127b","abstract_canon_sha256":"6547e480c02f45bad04855b6560915e0b1b60f932dbcf1574a7a4258d3f618c8"},"schema_version":"1.0"},"canonical_sha256":"077e110cfdb3502e7cf59182fc8df6d7c600e8d7ad19a007ecd9a6449958412e","source":{"kind":"arxiv","id":"2606.26420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26420","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26420v1","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26420","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_12","alias_value":"A57BCDH5WNIC","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_16","alias_value":"A57BCDH5WNIC47HV","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_8","alias_value":"A57BCDH5","created_at":"2026-06-26T00:15:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:A57BCDH5WNIC47HVSGBPZDPW27","target":"record","payload":{"canonical_record":{"source":{"id":"2606.26420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-06-24T22:22:47Z","cross_cats_sorted":[],"title_canon_sha256":"deb57ab2f8c8c25469c6fa0367bda627ed2fb29e7dcaade304152ae23b75127b","abstract_canon_sha256":"6547e480c02f45bad04855b6560915e0b1b60f932dbcf1574a7a4258d3f618c8"},"schema_version":"1.0"},"canonical_sha256":"077e110cfdb3502e7cf59182fc8df6d7c600e8d7ad19a007ecd9a6449958412e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-26T00:15:40.423036Z","signature_b64":"iEatDyf2IWBS23iSJUbsCBd+cqN7Pisj4A9fXtC/O7Ha9uWJIiIu05a/8PJf9wyi1W7ZZryHo3xwzP1QTbzlAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"077e110cfdb3502e7cf59182fc8df6d7c600e8d7ad19a007ecd9a6449958412e","last_reissued_at":"2026-06-26T00:15:40.422644Z","signature_status":"signed_v1","first_computed_at":"2026-06-26T00:15:40.422644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.26420","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":"2026-06-26T00:15:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d/aVCKctbMJG9x1YGTOfS+N6rlhhyyCntmbF6RKKjQlTzuaukcojrmHd3hepIRCmMQqYujUqwchS3rl6HrcxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:00:04.561894Z"},"content_sha256":"ee9044631659f52d6a86d9b1adf704a5f3b4ed58f9076c26fcabbf8ece4e9190","schema_version":"1.0","event_id":"sha256:ee9044631659f52d6a86d9b1adf704a5f3b4ed58f9076c26fcabbf8ece4e9190"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:A57BCDH5WNIC47HVSGBPZDPW27","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MIMO Zak-OTFS: Channel Estimation, Detection, and Throughput Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Faraz Barati, Jeffrey G. Andrews, Rahul Kumar Jaiswal, Ronny Hadani, Saif Khan Mohammed","submitted_at":"2026-06-24T22:22:47Z","abstract_excerpt":"Zak-Orthogonal Time Frequency Space (Zak-OTFS) modulation has demonstrated substantial performance gains over cyclic-prefix orthogonal frequency-division multiplexing (CP-OFDM) in highly time- and frequency-selective channels. In this paper, we extend Zak-OTFS to a multiple-input multiple-output (MIMO) framework. We first derive a complete system model for MIMO Zak-OTFS based directly on the physical multipath channel; ours is the first work to do so. We then propose an efficient channel estimation method using structured pilot placement in the delay-Doppler (DD) domain. The proposed approach "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26420","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/2606.26420/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":"2026-06-26T00:15:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dSgCbabY8sZUSHboIiQtFO5VZ8k/2L4lZXfvEnkc13AH2Wlq1bcLtOb1SvQNyE86ubo2G1oxr4xU+/bdTS2UDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T02:00:04.562259Z"},"content_sha256":"80514c1c1ef271a9ebbb7660f5879f114f95d79dd62003d9354141f94df3996f","schema_version":"1.0","event_id":"sha256:80514c1c1ef271a9ebbb7660f5879f114f95d79dd62003d9354141f94df3996f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A57BCDH5WNIC47HVSGBPZDPW27/bundle.json","state_url":"https://pith.science/pith/A57BCDH5WNIC47HVSGBPZDPW27/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A57BCDH5WNIC47HVSGBPZDPW27/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":"2026-06-29T02:00:04Z","links":{"resolver":"https://pith.science/pith/A57BCDH5WNIC47HVSGBPZDPW27","bundle":"https://pith.science/pith/A57BCDH5WNIC47HVSGBPZDPW27/bundle.json","state":"https://pith.science/pith/A57BCDH5WNIC47HVSGBPZDPW27/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A57BCDH5WNIC47HVSGBPZDPW27/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A57BCDH5WNIC47HVSGBPZDPW27","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":"6547e480c02f45bad04855b6560915e0b1b60f932dbcf1574a7a4258d3f618c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-06-24T22:22:47Z","title_canon_sha256":"deb57ab2f8c8c25469c6fa0367bda627ed2fb29e7dcaade304152ae23b75127b"},"schema_version":"1.0","source":{"id":"2606.26420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.26420","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"arxiv_version","alias_value":"2606.26420v1","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.26420","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_12","alias_value":"A57BCDH5WNIC","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_16","alias_value":"A57BCDH5WNIC47HV","created_at":"2026-06-26T00:15:40Z"},{"alias_kind":"pith_short_8","alias_value":"A57BCDH5","created_at":"2026-06-26T00:15:40Z"}],"graph_snapshots":[{"event_id":"sha256:80514c1c1ef271a9ebbb7660f5879f114f95d79dd62003d9354141f94df3996f","target":"graph","created_at":"2026-06-26T00:15:40Z","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/2606.26420/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Zak-Orthogonal Time Frequency Space (Zak-OTFS) modulation has demonstrated substantial performance gains over cyclic-prefix orthogonal frequency-division multiplexing (CP-OFDM) in highly time- and frequency-selective channels. In this paper, we extend Zak-OTFS to a multiple-input multiple-output (MIMO) framework. We first derive a complete system model for MIMO Zak-OTFS based directly on the physical multipath channel; ours is the first work to do so. We then propose an efficient channel estimation method using structured pilot placement in the delay-Doppler (DD) domain. The proposed approach ","authors_text":"Faraz Barati, Jeffrey G. Andrews, Rahul Kumar Jaiswal, Ronny Hadani, Saif Khan Mohammed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-06-24T22:22:47Z","title":"MIMO Zak-OTFS: Channel Estimation, Detection, and Throughput Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.26420","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:ee9044631659f52d6a86d9b1adf704a5f3b4ed58f9076c26fcabbf8ece4e9190","target":"record","created_at":"2026-06-26T00:15:40Z","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":"6547e480c02f45bad04855b6560915e0b1b60f932dbcf1574a7a4258d3f618c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2026-06-24T22:22:47Z","title_canon_sha256":"deb57ab2f8c8c25469c6fa0367bda627ed2fb29e7dcaade304152ae23b75127b"},"schema_version":"1.0","source":{"id":"2606.26420","kind":"arxiv","version":1}},"canonical_sha256":"077e110cfdb3502e7cf59182fc8df6d7c600e8d7ad19a007ecd9a6449958412e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"077e110cfdb3502e7cf59182fc8df6d7c600e8d7ad19a007ecd9a6449958412e","first_computed_at":"2026-06-26T00:15:40.422644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-26T00:15:40.422644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEatDyf2IWBS23iSJUbsCBd+cqN7Pisj4A9fXtC/O7Ha9uWJIiIu05a/8PJf9wyi1W7ZZryHo3xwzP1QTbzlAg==","signature_status":"signed_v1","signed_at":"2026-06-26T00:15:40.423036Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.26420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee9044631659f52d6a86d9b1adf704a5f3b4ed58f9076c26fcabbf8ece4e9190","sha256:80514c1c1ef271a9ebbb7660f5879f114f95d79dd62003d9354141f94df3996f"],"state_sha256":"d2067e6bcaaaf4fba79d9cf4529889a7c6746444c1df50063f9642ce4a424e6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PxWU9HjGEje5EUFUlNtrNNXho/HLUXCAldOCbzqLlfsuHp8/ol0xrCpG3Dg4huk+337QGB+qnxxgka1PcPO8CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T02:00:04.564259Z","bundle_sha256":"af1dc0850d6fb6c72825cd09d0810ebcd06aa7f7cdb531e921835becbf9549c2"}}