{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:V2TAVFZ7Y32ZL4N4PD3GDDBVA3","short_pith_number":"pith:V2TAVFZ7","canonical_record":{"source":{"id":"1306.5513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-06-24T06:01:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"de4b225dd5b9357360fce716de3e31b36350949c9caf31e018d120318bdcd101","abstract_canon_sha256":"8b780faba25323221e43aa582abc7710695bb03bb28789c757fd9cf6325b8d43"},"schema_version":"1.0"},"canonical_sha256":"aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1","source":{"kind":"arxiv","id":"1306.5513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5513","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5513v2","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5513","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"pith_short_12","alias_value":"V2TAVFZ7Y32Z","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"V2TAVFZ7Y32ZL4N4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"V2TAVFZ7","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:V2TAVFZ7Y32ZL4N4PD3GDDBVA3","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-06-24T06:01:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"de4b225dd5b9357360fce716de3e31b36350949c9caf31e018d120318bdcd101","abstract_canon_sha256":"8b780faba25323221e43aa582abc7710695bb03bb28789c757fd9cf6325b8d43"},"schema_version":"1.0"},"canonical_sha256":"aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:36.996505Z","signature_b64":"PFcpVxe0hPJmS9hJr/1PWk0cOrZ9W6DVl8RjfAj+NjpfJzcbCA9O2x+ks5sGXcCvvcu59/5XHXIZDmEuKmiQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1","last_reissued_at":"2026-05-18T02:43:36.995903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:36.995903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5513","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":"2026-05-18T02:43:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uL9cm0vL3eh34DQjlULF8LvwELcEtVYgGr5QRBbAfY29BGTyEHSZg5T2pqCK3VM7b/ecOZS+rZW4qpRxyHBcDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T07:31:29.959440Z"},"content_sha256":"9298e606c5328f9a2cf6e06697f6b8b48caed1a78b6dce446cea3c50917424b5","schema_version":"1.0","event_id":"sha256:9298e606c5328f9a2cf6e06697f6b8b48caed1a78b6dce446cea3c50917424b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:V2TAVFZ7Y32ZL4N4PD3GDDBVA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power Minimization in Multi-pair Two-Way Relaying","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"X. Wang, X. Yuan, Z. Fang","submitted_at":"2013-06-24T06:01:24Z","abstract_excerpt":"This doc provides some proofs in our submitted journal paper."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5513","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":"2026-05-18T02:43:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1f/ZIn/GsD5eQDATfApiHp0pd+QaTvPh7oB+S9w2dzK/9tPfRsBI2QGLDXuYfQ8fjJvJ31fcajhhYUW4mO7mAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T07:31:29.960036Z"},"content_sha256":"41b4344348d01e781b3cb20eb275f353ab90c110aaacf1608d63feb12946e122","schema_version":"1.0","event_id":"sha256:41b4344348d01e781b3cb20eb275f353ab90c110aaacf1608d63feb12946e122"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/bundle.json","state_url":"https://pith.science/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/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":"2026-05-19T07:31:29Z","links":{"resolver":"https://pith.science/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3","bundle":"https://pith.science/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/bundle.json","state":"https://pith.science/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2TAVFZ7Y32ZL4N4PD3GDDBVA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:V2TAVFZ7Y32ZL4N4PD3GDDBVA3","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":"8b780faba25323221e43aa582abc7710695bb03bb28789c757fd9cf6325b8d43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-06-24T06:01:24Z","title_canon_sha256":"de4b225dd5b9357360fce716de3e31b36350949c9caf31e018d120318bdcd101"},"schema_version":"1.0","source":{"id":"1306.5513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5513","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5513v2","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5513","created_at":"2026-05-18T02:43:36Z"},{"alias_kind":"pith_short_12","alias_value":"V2TAVFZ7Y32Z","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"V2TAVFZ7Y32ZL4N4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"V2TAVFZ7","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:41b4344348d01e781b3cb20eb275f353ab90c110aaacf1608d63feb12946e122","target":"graph","created_at":"2026-05-18T02:43:36Z","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":"This doc provides some proofs in our submitted journal paper.","authors_text":"X. Wang, X. Yuan, Z. Fang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-06-24T06:01:24Z","title":"Power Minimization in Multi-pair Two-Way Relaying"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5513","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":"sha256:9298e606c5328f9a2cf6e06697f6b8b48caed1a78b6dce446cea3c50917424b5","target":"record","created_at":"2026-05-18T02:43:36Z","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":"8b780faba25323221e43aa582abc7710695bb03bb28789c757fd9cf6325b8d43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-06-24T06:01:24Z","title_canon_sha256":"de4b225dd5b9357360fce716de3e31b36350949c9caf31e018d120318bdcd101"},"schema_version":"1.0","source":{"id":"1306.5513","kind":"arxiv","version":2}},"canonical_sha256":"aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1","first_computed_at":"2026-05-18T02:43:36.995903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:36.995903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFcpVxe0hPJmS9hJr/1PWk0cOrZ9W6DVl8RjfAj+NjpfJzcbCA9O2x+ks5sGXcCvvcu59/5XHXIZDmEuKmiQCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:36.996505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9298e606c5328f9a2cf6e06697f6b8b48caed1a78b6dce446cea3c50917424b5","sha256:41b4344348d01e781b3cb20eb275f353ab90c110aaacf1608d63feb12946e122"],"state_sha256":"999c3277b0ca7b59cdcacc8338acc646e05391baae179400448197eb22ea9bf7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RWcElSg2NqRn05yz2b59L/oT6hvlNTZEzxd4m2GxhBJ5JsZFL4cNuX9avPVdenIG+icEjXl39VjKaWkBOGGOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T07:31:29.962536Z","bundle_sha256":"ca2780138f92919dd356597faa262c167862a9075cda21791b34e2a74514f38f"}}