{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:S5EDEB5QFT6CU67MGVDK6A4H5H","short_pith_number":"pith:S5EDEB5Q","canonical_record":{"source":{"id":"1510.00082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-01T01:00:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"575f3b735025250321f7fcb327caacfa991ec13841780bb8934c9642eb02f890","abstract_canon_sha256":"6f3b081ade775dfb71762cfc8096ae83cac46b1f635e1563885a91ee27651ca9"},"schema_version":"1.0"},"canonical_sha256":"97483207b02cfc2a7bec3546af0387e9efd2df3a9adae7c754cb1cd86e0d7213","source":{"kind":"arxiv","id":"1510.00082","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00082","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00082v2","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00082","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"pith_short_12","alias_value":"S5EDEB5QFT6C","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S5EDEB5QFT6CU67M","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S5EDEB5Q","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:S5EDEB5QFT6CU67MGVDK6A4H5H","target":"record","payload":{"canonical_record":{"source":{"id":"1510.00082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-01T01:00:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"575f3b735025250321f7fcb327caacfa991ec13841780bb8934c9642eb02f890","abstract_canon_sha256":"6f3b081ade775dfb71762cfc8096ae83cac46b1f635e1563885a91ee27651ca9"},"schema_version":"1.0"},"canonical_sha256":"97483207b02cfc2a7bec3546af0387e9efd2df3a9adae7c754cb1cd86e0d7213","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:34.880674Z","signature_b64":"4uKlv/AN8oioy5BO77Erw9qtbqCHKFVWLBV7MY7avzOuOchdHlSTArALvQbNkK84xZukyWdd7VEFAt2PgDgMAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97483207b02cfc2a7bec3546af0387e9efd2df3a9adae7c754cb1cd86e0d7213","last_reissued_at":"2026-05-18T00:58:34.880107Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:34.880107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.00082","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":"2026-05-18T00:58:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HIVim1QgUAJYotoQY6b1D0mZnNOgDpQqp64PscdRtmz3H+IlDXwQCxMJGbH1cHKz5u7wXREm6D2TMmyTaq3NBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:02:13.504668Z"},"content_sha256":"3f507c024a7e9d95f5d6d0dacaea54f285f832ecd9f8ff227be7210868e80bbc","schema_version":"1.0","event_id":"sha256:3f507c024a7e9d95f5d6d0dacaea54f285f832ecd9f8ff227be7210868e80bbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:S5EDEB5QFT6CU67MGVDK6A4H5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secure Routing in Multihop Wireless Ad-hoc Networks with Decode-and-Forward Relaying","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jianping Yao, Suili Feng, Xiangyun Zhou, Yuan Liu","submitted_at":"2015-10-01T01:00:56Z","abstract_excerpt":"In this paper, we study the problem of secure routing in a multihop wireless ad-hoc network in the presence of randomly distributed eavesdroppers. Specifically, the locations of the eavesdroppers are modeled as a homogeneous Poisson point process (PPP) and the source-destination pair is assisted by intermediate relays using the decode-and-forward (DF) strategy. We analytically characterize the physical layer security performance of any chosen multihop path using the end-to-end secure connection probability (SCP) for both colluding and non-colluding eavesdroppers. To facilitate finding an effic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00082","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":""},"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":"2026-05-18T00:58:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"naSp3DKcuQF1pW2LE3SpZtXvgj1wr4kkEaMRMqVZ4/Zv62wdUIkwpW/zCHDVxv7zVr330ucgeRtHf7vEfMguCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:02:13.505419Z"},"content_sha256":"88a278f1f734cb27a36e18e7a5dc363e92eb79528a8cdf46838b288ff295785c","schema_version":"1.0","event_id":"sha256:88a278f1f734cb27a36e18e7a5dc363e92eb79528a8cdf46838b288ff295785c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/bundle.json","state_url":"https://pith.science/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/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":"2026-06-10T06:02:13Z","links":{"resolver":"https://pith.science/pith/S5EDEB5QFT6CU67MGVDK6A4H5H","bundle":"https://pith.science/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/bundle.json","state":"https://pith.science/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5EDEB5QFT6CU67MGVDK6A4H5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S5EDEB5QFT6CU67MGVDK6A4H5H","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":"6f3b081ade775dfb71762cfc8096ae83cac46b1f635e1563885a91ee27651ca9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-01T01:00:56Z","title_canon_sha256":"575f3b735025250321f7fcb327caacfa991ec13841780bb8934c9642eb02f890"},"schema_version":"1.0","source":{"id":"1510.00082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00082","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00082v2","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00082","created_at":"2026-05-18T00:58:34Z"},{"alias_kind":"pith_short_12","alias_value":"S5EDEB5QFT6C","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S5EDEB5QFT6CU67M","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S5EDEB5Q","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:88a278f1f734cb27a36e18e7a5dc363e92eb79528a8cdf46838b288ff295785c","target":"graph","created_at":"2026-05-18T00:58:34Z","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"},"paper":{"abstract_excerpt":"In this paper, we study the problem of secure routing in a multihop wireless ad-hoc network in the presence of randomly distributed eavesdroppers. Specifically, the locations of the eavesdroppers are modeled as a homogeneous Poisson point process (PPP) and the source-destination pair is assisted by intermediate relays using the decode-and-forward (DF) strategy. We analytically characterize the physical layer security performance of any chosen multihop path using the end-to-end secure connection probability (SCP) for both colluding and non-colluding eavesdroppers. To facilitate finding an effic","authors_text":"Jianping Yao, Suili Feng, Xiangyun Zhou, Yuan Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-01T01:00:56Z","title":"Secure Routing in Multihop Wireless Ad-hoc Networks with Decode-and-Forward Relaying"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00082","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":"sha256:3f507c024a7e9d95f5d6d0dacaea54f285f832ecd9f8ff227be7210868e80bbc","target":"record","created_at":"2026-05-18T00:58:34Z","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":"6f3b081ade775dfb71762cfc8096ae83cac46b1f635e1563885a91ee27651ca9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-01T01:00:56Z","title_canon_sha256":"575f3b735025250321f7fcb327caacfa991ec13841780bb8934c9642eb02f890"},"schema_version":"1.0","source":{"id":"1510.00082","kind":"arxiv","version":2}},"canonical_sha256":"97483207b02cfc2a7bec3546af0387e9efd2df3a9adae7c754cb1cd86e0d7213","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97483207b02cfc2a7bec3546af0387e9efd2df3a9adae7c754cb1cd86e0d7213","first_computed_at":"2026-05-18T00:58:34.880107Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:34.880107Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4uKlv/AN8oioy5BO77Erw9qtbqCHKFVWLBV7MY7avzOuOchdHlSTArALvQbNkK84xZukyWdd7VEFAt2PgDgMAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:34.880674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f507c024a7e9d95f5d6d0dacaea54f285f832ecd9f8ff227be7210868e80bbc","sha256:88a278f1f734cb27a36e18e7a5dc363e92eb79528a8cdf46838b288ff295785c"],"state_sha256":"8032532568445b7f97f6b7020be33304d0c2e1294001b8cd51870e7c54203828"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ag5KAmZG4uCcyx7cXVji6oxDzU4cVAZWOMujzIi6NjbjodW9UhMz7yAKshMqgR/3tv8yxsPiT1JiYy0JZeJrDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:02:13.509781Z","bundle_sha256":"0ffa42540917aec9970e7824c64490c4af70bc8f327c7763900411c5e261b0c6"}}