{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NIDRB2WZ56QKC72EPFIYIIF4IU","short_pith_number":"pith:NIDRB2WZ","canonical_record":{"source":{"id":"2601.18426","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-26T12:35:43Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"9296443c67b664ee2265d820815b251938e9326b187eaa915b8d73bae67cf2fa","abstract_canon_sha256":"0c06ffaba0240937e479b034d6ab3719adf2862fac25f5076efae1e237884a51"},"schema_version":"1.0"},"canonical_sha256":"6a0710ead9efa0a17f4479518420bc45015c8cc157195716ce8c68f8227882ef","source":{"kind":"arxiv","id":"2601.18426","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.18426","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2601.18426v2","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.18426","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"NIDRB2WZ56QK","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"NIDRB2WZ56QKC72E","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"NIDRB2WZ","created_at":"2026-07-07T02:18:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NIDRB2WZ56QKC72EPFIYIIF4IU","target":"record","payload":{"canonical_record":{"source":{"id":"2601.18426","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-26T12:35:43Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"9296443c67b664ee2265d820815b251938e9326b187eaa915b8d73bae67cf2fa","abstract_canon_sha256":"0c06ffaba0240937e479b034d6ab3719adf2862fac25f5076efae1e237884a51"},"schema_version":"1.0"},"canonical_sha256":"6a0710ead9efa0a17f4479518420bc45015c8cc157195716ce8c68f8227882ef","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:18:33.433526Z","signature_b64":"vL52tr1i3MIPviYs0+ycmzSgQSsUO3ZkLeh7lVSz4SGSg4RGv748+44M8ya0Sdc9nfcqvbqPVULWYnmU+p1ZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a0710ead9efa0a17f4479518420bc45015c8cc157195716ce8c68f8227882ef","last_reissued_at":"2026-07-07T02:18:33.432518Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:18:33.432518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.18426","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-07T02:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B/klWMWpXEWNGqo24vvJrAGnuMV1fG+G2vxi3EAq2NqAFREdFnCtST7+gxNUnfV7zmF3XDYiJyZo/chRfMsWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T08:35:06.674578Z"},"content_sha256":"2500c68851b699521610364a90b7e234516c50c22b016ce2ec614a8ad293f501","schema_version":"1.0","event_id":"sha256:2500c68851b699521610364a90b7e234516c50c22b016ce2ec614a8ad293f501"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NIDRB2WZ56QKC72EPFIYIIF4IU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Theory of Atomic Beamforming","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"quant-ph","authors_text":"Kaibin Huang, Mingyao Cui, Qunsong Zeng","submitted_at":"2026-01-26T12:35:43Z","abstract_excerpt":"Leveraging the quantum advantages of highly excited atoms, Rydberg atomic receivers (RAREs) represent a paradigm shift in microwave detection with extremely high sensitivity and broadband tunability. However, existing studies often model RAREs as isotropic point receivers and neglect the spatial variation of Rydberg atomic states within vapor cells, which can lead to inaccurate characterization of their reception patterns. To address this issue, we theoretically analyze the spatial response of a local-oscillator (LO) field-dressed RARE. Our results reveal that as the vapor-cell length increase"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.18426","kind":"arxiv","version":2},"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/2601.18426/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":"2026-07-07T02:18:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EfLpbQASevFgIAccNVvbwplEbUNd9qjSWJuoe1tiOZ2kwkKKAbYQ5Svzg6UhKAiOJZRRNhhwFUbh3teGGMeOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T08:35:06.675073Z"},"content_sha256":"33d2016ea5964a55e85503cf0d5a80d22440e59bdea59dd8e46caaf077229790","schema_version":"1.0","event_id":"sha256:33d2016ea5964a55e85503cf0d5a80d22440e59bdea59dd8e46caaf077229790"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/bundle.json","state_url":"https://pith.science/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/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":"2026-08-05T08:35:06Z","links":{"resolver":"https://pith.science/pith/NIDRB2WZ56QKC72EPFIYIIF4IU","bundle":"https://pith.science/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/bundle.json","state":"https://pith.science/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NIDRB2WZ56QKC72EPFIYIIF4IU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NIDRB2WZ56QKC72EPFIYIIF4IU","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":"0c06ffaba0240937e479b034d6ab3719adf2862fac25f5076efae1e237884a51","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-26T12:35:43Z","title_canon_sha256":"9296443c67b664ee2265d820815b251938e9326b187eaa915b8d73bae67cf2fa"},"schema_version":"1.0","source":{"id":"2601.18426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.18426","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"arxiv_version","alias_value":"2601.18426v2","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.18426","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_12","alias_value":"NIDRB2WZ56QK","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_16","alias_value":"NIDRB2WZ56QKC72E","created_at":"2026-07-07T02:18:33Z"},{"alias_kind":"pith_short_8","alias_value":"NIDRB2WZ","created_at":"2026-07-07T02:18:33Z"}],"graph_snapshots":[{"event_id":"sha256:33d2016ea5964a55e85503cf0d5a80d22440e59bdea59dd8e46caaf077229790","target":"graph","created_at":"2026-07-07T02:18:33Z","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/2601.18426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Leveraging the quantum advantages of highly excited atoms, Rydberg atomic receivers (RAREs) represent a paradigm shift in microwave detection with extremely high sensitivity and broadband tunability. However, existing studies often model RAREs as isotropic point receivers and neglect the spatial variation of Rydberg atomic states within vapor cells, which can lead to inaccurate characterization of their reception patterns. To address this issue, we theoretically analyze the spatial response of a local-oscillator (LO) field-dressed RARE. Our results reveal that as the vapor-cell length increase","authors_text":"Kaibin Huang, Mingyao Cui, Qunsong Zeng","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-26T12:35:43Z","title":"A Theory of Atomic Beamforming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.18426","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":"sha256:2500c68851b699521610364a90b7e234516c50c22b016ce2ec614a8ad293f501","target":"record","created_at":"2026-07-07T02:18:33Z","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":"0c06ffaba0240937e479b034d6ab3719adf2862fac25f5076efae1e237884a51","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-26T12:35:43Z","title_canon_sha256":"9296443c67b664ee2265d820815b251938e9326b187eaa915b8d73bae67cf2fa"},"schema_version":"1.0","source":{"id":"2601.18426","kind":"arxiv","version":2}},"canonical_sha256":"6a0710ead9efa0a17f4479518420bc45015c8cc157195716ce8c68f8227882ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a0710ead9efa0a17f4479518420bc45015c8cc157195716ce8c68f8227882ef","first_computed_at":"2026-07-07T02:18:33.432518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:18:33.432518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vL52tr1i3MIPviYs0+ycmzSgQSsUO3ZkLeh7lVSz4SGSg4RGv748+44M8ya0Sdc9nfcqvbqPVULWYnmU+p1ZDA==","signature_status":"signed_v1","signed_at":"2026-07-07T02:18:33.433526Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.18426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2500c68851b699521610364a90b7e234516c50c22b016ce2ec614a8ad293f501","sha256:33d2016ea5964a55e85503cf0d5a80d22440e59bdea59dd8e46caaf077229790"],"state_sha256":"2ec2c8d3b65af0d14bc366814f31163f7ada5eafb3eacc5cc7a1b0c38567f65d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NT5YlgWKwJWAVWiljo+2XH4yC55LBPFSigydvxY8mgs9r7apO3DIpMTqR/gqgof//XirggpM2OlfylmFZZTiAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T08:35:06.678644Z","bundle_sha256":"c23857e3470349100d39dec755ca62f3c0fb9a952b7f0ce708e59eb8e0252671"}}