{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:WVBCJ22WDPBRHMGKTJTAWFVXM7","short_pith_number":"pith:WVBCJ22W","canonical_record":{"source":{"id":"2603.24604","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-03-14T13:27:39Z","cross_cats_sorted":["cs.IT","math.IT","physics.app-ph"],"title_canon_sha256":"51c64f2d8ebc3af50778a4d4f5c9bcf5fe297b8b7c4eaf65d46635a802350508","abstract_canon_sha256":"70e06584befae54833152d28f796a0cadefe82a210ad0f5030f4886e3f3d6849"},"schema_version":"1.0"},"canonical_sha256":"b54224eb561bc313b0ca9a660b16b767c981556aea86277e9bd171deb44cd49f","source":{"kind":"arxiv","id":"2603.24604","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.24604","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2603.24604v2","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.24604","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"WVBCJ22WDPBR","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"WVBCJ22WDPBRHMGK","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"WVBCJ22W","created_at":"2026-08-10T01:09:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:WVBCJ22WDPBRHMGKTJTAWFVXM7","target":"record","payload":{"canonical_record":{"source":{"id":"2603.24604","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-03-14T13:27:39Z","cross_cats_sorted":["cs.IT","math.IT","physics.app-ph"],"title_canon_sha256":"51c64f2d8ebc3af50778a4d4f5c9bcf5fe297b8b7c4eaf65d46635a802350508","abstract_canon_sha256":"70e06584befae54833152d28f796a0cadefe82a210ad0f5030f4886e3f3d6849"},"schema_version":"1.0"},"canonical_sha256":"b54224eb561bc313b0ca9a660b16b767c981556aea86277e9bd171deb44cd49f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-10T01:09:44.426039Z","signature_b64":"bev53veh+3skj4iWYacBqCjaozWr/98nFc9yC+bhgpB3y0N4OdHWJhWw7CLosbRyjJ+pMqlTArDCv8PenEZnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b54224eb561bc313b0ca9a660b16b767c981556aea86277e9bd171deb44cd49f","last_reissued_at":"2026-08-10T01:09:44.423681Z","signature_status":"signed_v1","first_computed_at":"2026-08-10T01:09:44.423681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.24604","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":"2026-08-10T01:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kStGEgftl0doNj4twBcCBLxibjxSytyBrQz4V81mPPry2btq7nfDRWNJUOKV78Aj8gOf337TtV4KJR4cOEpTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:32:02.966521Z"},"content_sha256":"0b5cf01b4ee8152f87ab70566f7fac3c44ba29b8167b94ef6a5168215aebc29b","schema_version":"1.0","event_id":"sha256:0b5cf01b4ee8152f87ab70566f7fac3c44ba29b8167b94ef6a5168215aebc29b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:WVBCJ22WDPBRHMGKTJTAWFVXM7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analog Computing with Hybrid Couplers and Phase Shifters","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","math.IT","physics.app-ph"],"primary_cat":"eess.SP","authors_text":"Bruno Clerckx, Matteo Nerini, Xuekang Liu","submitted_at":"2026-03-14T13:27:39Z","abstract_excerpt":"Analog computing with microwave signals can enable exceptionally fast computations, potentially surpassing the limits of conventional digital computing. For example, by letting some input signals propagate through a linear microwave network and reading the corresponding output signals, we can instantly compute a matrix-vector product without any digital operations. In this paper, we investigate the computational capabilities of linear microwave networks made exclusively of two low-cost and fundamental components: hybrid couplers and phase shifters, which are both implementable in microstrip. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.24604","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/2603.24604/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":"2026-08-10T01:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XAeoNbJ7/96eiZhfnNSJbAz23PKYSzgL7wJp5O+GGLTDWB2y1NkpCuFAz7yeGaOcgqqmBOpDzUMMTQexB1sKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:32:02.967025Z"},"content_sha256":"553975a42e23a7daece4fbdd85d7a37fbecd88be21cd3993424fbca6ebc97a2f","schema_version":"1.0","event_id":"sha256:553975a42e23a7daece4fbdd85d7a37fbecd88be21cd3993424fbca6ebc97a2f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/bundle.json","state_url":"https://pith.science/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/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":"2026-08-10T09:32:02Z","links":{"resolver":"https://pith.science/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7","bundle":"https://pith.science/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/bundle.json","state":"https://pith.science/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVBCJ22WDPBRHMGKTJTAWFVXM7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:WVBCJ22WDPBRHMGKTJTAWFVXM7","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":"70e06584befae54833152d28f796a0cadefe82a210ad0f5030f4886e3f3d6849","cross_cats_sorted":["cs.IT","math.IT","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-03-14T13:27:39Z","title_canon_sha256":"51c64f2d8ebc3af50778a4d4f5c9bcf5fe297b8b7c4eaf65d46635a802350508"},"schema_version":"1.0","source":{"id":"2603.24604","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.24604","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2603.24604v2","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.24604","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"WVBCJ22WDPBR","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"WVBCJ22WDPBRHMGK","created_at":"2026-08-10T01:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"WVBCJ22W","created_at":"2026-08-10T01:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:553975a42e23a7daece4fbdd85d7a37fbecd88be21cd3993424fbca6ebc97a2f","target":"graph","created_at":"2026-08-10T01:09:44Z","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/2603.24604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Analog computing with microwave signals can enable exceptionally fast computations, potentially surpassing the limits of conventional digital computing. For example, by letting some input signals propagate through a linear microwave network and reading the corresponding output signals, we can instantly compute a matrix-vector product without any digital operations. In this paper, we investigate the computational capabilities of linear microwave networks made exclusively of two low-cost and fundamental components: hybrid couplers and phase shifters, which are both implementable in microstrip. W","authors_text":"Bruno Clerckx, Matteo Nerini, Xuekang Liu","cross_cats":["cs.IT","math.IT","physics.app-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-03-14T13:27:39Z","title":"Analog Computing with Hybrid Couplers and Phase Shifters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.24604","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":"sha256:0b5cf01b4ee8152f87ab70566f7fac3c44ba29b8167b94ef6a5168215aebc29b","target":"record","created_at":"2026-08-10T01:09:44Z","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":"70e06584befae54833152d28f796a0cadefe82a210ad0f5030f4886e3f3d6849","cross_cats_sorted":["cs.IT","math.IT","physics.app-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2026-03-14T13:27:39Z","title_canon_sha256":"51c64f2d8ebc3af50778a4d4f5c9bcf5fe297b8b7c4eaf65d46635a802350508"},"schema_version":"1.0","source":{"id":"2603.24604","kind":"arxiv","version":2}},"canonical_sha256":"b54224eb561bc313b0ca9a660b16b767c981556aea86277e9bd171deb44cd49f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b54224eb561bc313b0ca9a660b16b767c981556aea86277e9bd171deb44cd49f","first_computed_at":"2026-08-10T01:09:44.423681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-10T01:09:44.423681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bev53veh+3skj4iWYacBqCjaozWr/98nFc9yC+bhgpB3y0N4OdHWJhWw7CLosbRyjJ+pMqlTArDCv8PenEZnCQ==","signature_status":"signed_v1","signed_at":"2026-08-10T01:09:44.426039Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.24604","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b5cf01b4ee8152f87ab70566f7fac3c44ba29b8167b94ef6a5168215aebc29b","sha256:553975a42e23a7daece4fbdd85d7a37fbecd88be21cd3993424fbca6ebc97a2f"],"state_sha256":"6c6c838f8697d1272b7e33991b169769e27f7058d9eb08e10fd95ee63b380d89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3Y8gX2BlSku6Qsh83S/lmH28qrEysoZiuLJygLf1mLdPef3DsSirCwUVfqyOQLOzPCsoLxAOs6vchV0/MBsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T09:32:02.970698Z","bundle_sha256":"0fdb82dd6328f7b53d6abaff1453446d953451b4de15ae4edf6792780368957a"}}