{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HJYS5WCXDQFCWHXWAJVPIOCXVX","short_pith_number":"pith:HJYS5WCX","canonical_record":{"source":{"id":"2405.05823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T14:59:19Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"40dfae35d928b68b8609b22388ae1114f3bb0ba518cc96a75cd222a23e38ecd3","abstract_canon_sha256":"fb2b859575bd0976c3e6275ce98c635b38a58bcab52faa57bf0ad91ef0a44d4b"},"schema_version":"1.0"},"canonical_sha256":"3a712ed8571c0a2b1ef6026af43857adf7cccd2c656d7913bc83b478ea23949f","source":{"kind":"arxiv","id":"2405.05823","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05823","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05823v1","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05823","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"HJYS5WCXDQFC","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"HJYS5WCXDQFCWHXW","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"HJYS5WCX","created_at":"2026-07-05T08:17:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HJYS5WCXDQFCWHXWAJVPIOCXVX","target":"record","payload":{"canonical_record":{"source":{"id":"2405.05823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T14:59:19Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"40dfae35d928b68b8609b22388ae1114f3bb0ba518cc96a75cd222a23e38ecd3","abstract_canon_sha256":"fb2b859575bd0976c3e6275ce98c635b38a58bcab52faa57bf0ad91ef0a44d4b"},"schema_version":"1.0"},"canonical_sha256":"3a712ed8571c0a2b1ef6026af43857adf7cccd2c656d7913bc83b478ea23949f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:17:23.372173Z","signature_b64":"3G3fW0ZdQn23FHKhRXu0Dq/gM9OvXamPYO1CUlen/XlwP3KSZ0vaF3ntCKSvhqhnuW/6ViG6dSLclqI+gxoNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a712ed8571c0a2b1ef6026af43857adf7cccd2c656d7913bc83b478ea23949f","last_reissued_at":"2026-07-05T08:17:23.371747Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:17:23.371747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.05823","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":"2026-07-05T08:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ga47PEzfMQ0aworFvHfYKQ7u/RVEtZ5AQ9/K648de5vJytJpQx0pbiaT1S+8HSeJWYgpKcKM/BHKUFDDRzBhDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:38:54.019294Z"},"content_sha256":"84851880f58c138468896ffddff7d8259fda135ad2ed4169b1991235b5c3f55e","schema_version":"1.0","event_id":"sha256:84851880f58c138468896ffddff7d8259fda135ad2ed4169b1991235b5c3f55e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HJYS5WCXDQFCWHXWAJVPIOCXVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Secrecy Capacity of 1-2-1 Atomic Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Martina Cardone, Minoh Jeong, Mohammad Milanian","submitted_at":"2024-05-09T14:59:19Z","abstract_excerpt":"We consider the problem of secure communication over a noiseless 1-2-1 network, an abstract model introduced to capture the directivity characteristic of mmWave communications. We focus on structured networks, which we refer to as 1-2-1 atomic networks. Broadly speaking, these are characterized by a source, a destination, and three layers of intermediate nodes with sparse connections. The goal is for the source to securely communicate to the destination in the presence of an eavesdropper with unbounded computation capabilities, but limited network presence. We derive novel upper and lower boun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05823","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/2405.05823/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":"2026-07-05T08:17:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atm0QLpgTXIYFT5AAi+QJnsI8mWH7Lo9dwxm9xweYA1VJLEvMNcK62RIFI4EAsEaRJoeobXyRIHq/WUFt8bkAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T18:38:54.019842Z"},"content_sha256":"f2d279e36fcab5c7c10db9241224dc2a344542a3d7f8a2a93f7d011b966c35df","schema_version":"1.0","event_id":"sha256:f2d279e36fcab5c7c10db9241224dc2a344542a3d7f8a2a93f7d011b966c35df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/bundle.json","state_url":"https://pith.science/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/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":"2026-08-15T18:38:54Z","links":{"resolver":"https://pith.science/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX","bundle":"https://pith.science/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/bundle.json","state":"https://pith.science/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJYS5WCXDQFCWHXWAJVPIOCXVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HJYS5WCXDQFCWHXWAJVPIOCXVX","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":"fb2b859575bd0976c3e6275ce98c635b38a58bcab52faa57bf0ad91ef0a44d4b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T14:59:19Z","title_canon_sha256":"40dfae35d928b68b8609b22388ae1114f3bb0ba518cc96a75cd222a23e38ecd3"},"schema_version":"1.0","source":{"id":"2405.05823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.05823","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"2405.05823v1","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05823","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"HJYS5WCXDQFC","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"HJYS5WCXDQFCWHXW","created_at":"2026-07-05T08:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"HJYS5WCX","created_at":"2026-07-05T08:17:23Z"}],"graph_snapshots":[{"event_id":"sha256:f2d279e36fcab5c7c10db9241224dc2a344542a3d7f8a2a93f7d011b966c35df","target":"graph","created_at":"2026-07-05T08:17:23Z","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/2405.05823/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of secure communication over a noiseless 1-2-1 network, an abstract model introduced to capture the directivity characteristic of mmWave communications. We focus on structured networks, which we refer to as 1-2-1 atomic networks. Broadly speaking, these are characterized by a source, a destination, and three layers of intermediate nodes with sparse connections. The goal is for the source to securely communicate to the destination in the presence of an eavesdropper with unbounded computation capabilities, but limited network presence. We derive novel upper and lower boun","authors_text":"Martina Cardone, Minoh Jeong, Mohammad Milanian","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T14:59:19Z","title":"On the Secrecy Capacity of 1-2-1 Atomic Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05823","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":"sha256:84851880f58c138468896ffddff7d8259fda135ad2ed4169b1991235b5c3f55e","target":"record","created_at":"2026-07-05T08:17:23Z","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":"fb2b859575bd0976c3e6275ce98c635b38a58bcab52faa57bf0ad91ef0a44d4b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-05-09T14:59:19Z","title_canon_sha256":"40dfae35d928b68b8609b22388ae1114f3bb0ba518cc96a75cd222a23e38ecd3"},"schema_version":"1.0","source":{"id":"2405.05823","kind":"arxiv","version":1}},"canonical_sha256":"3a712ed8571c0a2b1ef6026af43857adf7cccd2c656d7913bc83b478ea23949f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a712ed8571c0a2b1ef6026af43857adf7cccd2c656d7913bc83b478ea23949f","first_computed_at":"2026-07-05T08:17:23.371747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:17:23.371747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3G3fW0ZdQn23FHKhRXu0Dq/gM9OvXamPYO1CUlen/XlwP3KSZ0vaF3ntCKSvhqhnuW/6ViG6dSLclqI+gxoNBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:17:23.372173Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.05823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84851880f58c138468896ffddff7d8259fda135ad2ed4169b1991235b5c3f55e","sha256:f2d279e36fcab5c7c10db9241224dc2a344542a3d7f8a2a93f7d011b966c35df"],"state_sha256":"b5a9bb758d685650417df3a5b2e14fd5dc74b16253829849b2ee51cc7059501e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7nc80VQ8e7ucCsT1vd3xHYw4xBO+N9PE6F8JBozelvljLqJ5nGXcuRA39OaYG5WPF54YEUtx6k6aNXkurzprAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T18:38:54.023549Z","bundle_sha256":"e23ab5f16b60c0faf2c6b20aa19505b6bff51074dd72d55bba96688d382a03a2"}}