{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:YKLAW2O3VFUHIN64YSNVC67TBC","short_pith_number":"pith:YKLAW2O3","canonical_record":{"source":{"id":"1203.2297","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-11T00:30:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"85cb048a65572b676d45fa2ead173ff8244fe46313e3ddaf75d31202244a9943","abstract_canon_sha256":"882f30da0e6e73403248955e36b7357f9a660cb3a756f704598534c3b0642e9c"},"schema_version":"1.0"},"canonical_sha256":"c2960b69dba9687437dcc49b517bf308b41a182ef34cbdf5de1cfe4925ebc428","source":{"kind":"arxiv","id":"1203.2297","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2297","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2297v3","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2297","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"YKLAW2O3VFUH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YKLAW2O3VFUHIN64","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YKLAW2O3","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:YKLAW2O3VFUHIN64YSNVC67TBC","target":"record","payload":{"canonical_record":{"source":{"id":"1203.2297","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-11T00:30:46Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"85cb048a65572b676d45fa2ead173ff8244fe46313e3ddaf75d31202244a9943","abstract_canon_sha256":"882f30da0e6e73403248955e36b7357f9a660cb3a756f704598534c3b0642e9c"},"schema_version":"1.0"},"canonical_sha256":"c2960b69dba9687437dcc49b517bf308b41a182ef34cbdf5de1cfe4925ebc428","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:24.333346Z","signature_b64":"4Cw8RpwdafjnnfII9DieMukVJFHpZ4EeGqpVh2L4yAzk+MxjQVN8VeV4dWb8zPVNv6y4q1haSNwox+mf6Hz1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2960b69dba9687437dcc49b517bf308b41a182ef34cbdf5de1cfe4925ebc428","last_reissued_at":"2026-05-18T03:57:24.332618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:24.332618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.2297","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXugCZDXkNsgjq+F9XYJwJFF9aNEiH9C9Bt384aLcFsPHUtUShCCAfsT8dTPFUq1wTW+aWb8x8yuO6OKDD20Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:21:56.570079Z"},"content_sha256":"d2487f84882e9ee4277553306378f85cec6a028c26bd708771d2c6e281e345d2","schema_version":"1.0","event_id":"sha256:d2487f84882e9ee4277553306378f85cec6a028c26bd708771d2c6e281e345d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:YKLAW2O3VFUHIN64YSNVC67TBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analog network coding in general SNR regime: Performance of a greedy scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Minghua Chen, Samar Agnihotri, Sidharth Jaggi","submitted_at":"2012-03-11T00:30:46Z","abstract_excerpt":"The problem of maximum rate achievable with analog network coding for a unicast communication over a layered relay network with directed links is considered. A relay node performing analog network coding scales and forwards the signals received at its input. Recently this problem has been considered under certain assumptions on per node scaling factor and received SNR. Previously, we established a result that allows us to characterize the optimal performance of analog network coding in network scenarios beyond those that can be analyzed using the approaches based on such assumptions.\n  The key"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2297","kind":"arxiv","version":3},"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":"2026-05-18T03:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hNC61wNkQ0xhWE1Yq3iH+a57BE79t5CkgImcFLBhdQ8odXzYJTy0y34/kiiWiUlQVogXbJqQKFNmBBk3l8H3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:21:56.570804Z"},"content_sha256":"f13274f650d4fe9d3142070b4bc9edc6a43b8feca42bf1ac61bdf5741a0ce03a","schema_version":"1.0","event_id":"sha256:f13274f650d4fe9d3142070b4bc9edc6a43b8feca42bf1ac61bdf5741a0ce03a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YKLAW2O3VFUHIN64YSNVC67TBC/bundle.json","state_url":"https://pith.science/pith/YKLAW2O3VFUHIN64YSNVC67TBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YKLAW2O3VFUHIN64YSNVC67TBC/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":"2026-05-25T19:21:56Z","links":{"resolver":"https://pith.science/pith/YKLAW2O3VFUHIN64YSNVC67TBC","bundle":"https://pith.science/pith/YKLAW2O3VFUHIN64YSNVC67TBC/bundle.json","state":"https://pith.science/pith/YKLAW2O3VFUHIN64YSNVC67TBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YKLAW2O3VFUHIN64YSNVC67TBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YKLAW2O3VFUHIN64YSNVC67TBC","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":"882f30da0e6e73403248955e36b7357f9a660cb3a756f704598534c3b0642e9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-11T00:30:46Z","title_canon_sha256":"85cb048a65572b676d45fa2ead173ff8244fe46313e3ddaf75d31202244a9943"},"schema_version":"1.0","source":{"id":"1203.2297","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2297","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2297v3","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2297","created_at":"2026-05-18T03:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"YKLAW2O3VFUH","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YKLAW2O3VFUHIN64","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YKLAW2O3","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:f13274f650d4fe9d3142070b4bc9edc6a43b8feca42bf1ac61bdf5741a0ce03a","target":"graph","created_at":"2026-05-18T03:57:24Z","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":"The problem of maximum rate achievable with analog network coding for a unicast communication over a layered relay network with directed links is considered. A relay node performing analog network coding scales and forwards the signals received at its input. Recently this problem has been considered under certain assumptions on per node scaling factor and received SNR. Previously, we established a result that allows us to characterize the optimal performance of analog network coding in network scenarios beyond those that can be analyzed using the approaches based on such assumptions.\n  The key","authors_text":"Minghua Chen, Samar Agnihotri, Sidharth Jaggi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-11T00:30:46Z","title":"Analog network coding in general SNR regime: Performance of a greedy scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2297","kind":"arxiv","version":3},"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:d2487f84882e9ee4277553306378f85cec6a028c26bd708771d2c6e281e345d2","target":"record","created_at":"2026-05-18T03:57:24Z","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":"882f30da0e6e73403248955e36b7357f9a660cb3a756f704598534c3b0642e9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-11T00:30:46Z","title_canon_sha256":"85cb048a65572b676d45fa2ead173ff8244fe46313e3ddaf75d31202244a9943"},"schema_version":"1.0","source":{"id":"1203.2297","kind":"arxiv","version":3}},"canonical_sha256":"c2960b69dba9687437dcc49b517bf308b41a182ef34cbdf5de1cfe4925ebc428","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2960b69dba9687437dcc49b517bf308b41a182ef34cbdf5de1cfe4925ebc428","first_computed_at":"2026-05-18T03:57:24.332618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:24.332618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Cw8RpwdafjnnfII9DieMukVJFHpZ4EeGqpVh2L4yAzk+MxjQVN8VeV4dWb8zPVNv6y4q1haSNwox+mf6Hz1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:24.333346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2297","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2487f84882e9ee4277553306378f85cec6a028c26bd708771d2c6e281e345d2","sha256:f13274f650d4fe9d3142070b4bc9edc6a43b8feca42bf1ac61bdf5741a0ce03a"],"state_sha256":"4793fc5d5443d009b18d73596a0fb2e1598a304409519bbcffa3e0fa9d84814d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SYtYUlbARioUB2acZ4BwRcXEi959GsVqAFhNGk432DAjvdzzG6AKGNbFTVyf0DhiU0aKcqlrZF7G0JBIlwBLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:21:56.594065Z","bundle_sha256":"2b25dec735ce50dbc52387de1b291eebbe84a86e2beaa31647c79a6cead36cfa"}}