{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YCKBW6JO7B5NAYQ7O7XBWN5COK","short_pith_number":"pith:YCKBW6JO","canonical_record":{"source":{"id":"1609.08270","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2016-09-27T06:16:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"066d1512e63a0f0d898f3f497ab0569c199d089b755dcf429c9802e82bfa14aa","abstract_canon_sha256":"f09177907b815d89da3c1d48a8d82d11b1cc077d04e48958950a38d973679fb8"},"schema_version":"1.0"},"canonical_sha256":"c0941b792ef87ad0621f77ee1b37a2729da523445b2b87af8e87e475b5bf27ec","source":{"kind":"arxiv","id":"1609.08270","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08270","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08270v1","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08270","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"pith_short_12","alias_value":"YCKBW6JO7B5N","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YCKBW6JO7B5NAYQ7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YCKBW6JO","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YCKBW6JO7B5NAYQ7O7XBWN5COK","target":"record","payload":{"canonical_record":{"source":{"id":"1609.08270","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2016-09-27T06:16:59Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"066d1512e63a0f0d898f3f497ab0569c199d089b755dcf429c9802e82bfa14aa","abstract_canon_sha256":"f09177907b815d89da3c1d48a8d82d11b1cc077d04e48958950a38d973679fb8"},"schema_version":"1.0"},"canonical_sha256":"c0941b792ef87ad0621f77ee1b37a2729da523445b2b87af8e87e475b5bf27ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:46.271034Z","signature_b64":"+N69R57dAQXnCB1lQoi+K8b57EaDmv+1YYHOElnRySOx8Vt3iFCYxIC52bZR+9gPwpEt18oWeOB1GOAl+OQuDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0941b792ef87ad0621f77ee1b37a2729da523445b2b87af8e87e475b5bf27ec","last_reissued_at":"2026-05-18T01:03:46.270627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:46.270627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.08270","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":"2026-05-18T01:03:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/pu1gnusXsq3709o2yLmEaBvGDuvN7oVeXAbbWCbemIWjl5pbcd83t2CsE3fKtJks2B+UagANUfpx6MjAxOIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:18:45.293655Z"},"content_sha256":"794b3282cade03cb8385ca70a2cc9d76c3143a196a25e5e6fa8f41d33f708bef","schema_version":"1.0","event_id":"sha256:794b3282cade03cb8385ca70a2cc9d76c3143a196a25e5e6fa8f41d33f708bef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YCKBW6JO7B5NAYQ7O7XBWN5COK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Coded Cooperative Networks with Energy Harvesting and Wireless Power Transfer","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Huisheng Zhang, Mikael Skoglund, Ming Xiao, Nan Qi, Theodoros A. Tsiftsis","submitted_at":"2016-09-27T06:16:59Z","abstract_excerpt":"The optimum off-line energy management scheme for multi-user multi-relay networks employing energy harvesting and wireless energy transfer is studied. Specifically, the users are capable of harvesting and transferring energy to each other over consecutive transmissions, though they have no fixed energy supplies. Meanwhile, network coding for the users' messages is conducted at the relays to enable cooperative transmission with source nodes in independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$ fading channels. Therefore, a simultaneous two level cooperation, i.e., i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08270","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":""},"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":"2026-05-18T01:03:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsVNOXnvRGG2BPDzPjm8WFW98GO+k5f+lRGndM+9v99q2QrNL7RLPkfiM85A5vgKp6VYm7zPpHNMuFC7R657DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T04:18:45.293994Z"},"content_sha256":"4e1622170865b75ae020a56131d368b27c56a72a6502257199631f2888a35b28","schema_version":"1.0","event_id":"sha256:4e1622170865b75ae020a56131d368b27c56a72a6502257199631f2888a35b28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/bundle.json","state_url":"https://pith.science/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/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":"2026-05-30T04:18:45Z","links":{"resolver":"https://pith.science/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK","bundle":"https://pith.science/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/bundle.json","state":"https://pith.science/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YCKBW6JO7B5NAYQ7O7XBWN5COK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YCKBW6JO7B5NAYQ7O7XBWN5COK","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":"f09177907b815d89da3c1d48a8d82d11b1cc077d04e48958950a38d973679fb8","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2016-09-27T06:16:59Z","title_canon_sha256":"066d1512e63a0f0d898f3f497ab0569c199d089b755dcf429c9802e82bfa14aa"},"schema_version":"1.0","source":{"id":"1609.08270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08270","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08270v1","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08270","created_at":"2026-05-18T01:03:46Z"},{"alias_kind":"pith_short_12","alias_value":"YCKBW6JO7B5N","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YCKBW6JO7B5NAYQ7","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YCKBW6JO","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:4e1622170865b75ae020a56131d368b27c56a72a6502257199631f2888a35b28","target":"graph","created_at":"2026-05-18T01:03:46Z","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 optimum off-line energy management scheme for multi-user multi-relay networks employing energy harvesting and wireless energy transfer is studied. Specifically, the users are capable of harvesting and transferring energy to each other over consecutive transmissions, though they have no fixed energy supplies. Meanwhile, network coding for the users' messages is conducted at the relays to enable cooperative transmission with source nodes in independent but not necessarily identically distributed (i.n.i.d.) Nakagami-$m$ fading channels. Therefore, a simultaneous two level cooperation, i.e., i","authors_text":"Huisheng Zhang, Mikael Skoglund, Ming Xiao, Nan Qi, Theodoros A. Tsiftsis","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2016-09-27T06:16:59Z","title":"Efficient Coded Cooperative Networks with Energy Harvesting and Wireless Power Transfer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08270","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":"sha256:794b3282cade03cb8385ca70a2cc9d76c3143a196a25e5e6fa8f41d33f708bef","target":"record","created_at":"2026-05-18T01:03:46Z","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":"f09177907b815d89da3c1d48a8d82d11b1cc077d04e48958950a38d973679fb8","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.IT","submitted_at":"2016-09-27T06:16:59Z","title_canon_sha256":"066d1512e63a0f0d898f3f497ab0569c199d089b755dcf429c9802e82bfa14aa"},"schema_version":"1.0","source":{"id":"1609.08270","kind":"arxiv","version":1}},"canonical_sha256":"c0941b792ef87ad0621f77ee1b37a2729da523445b2b87af8e87e475b5bf27ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0941b792ef87ad0621f77ee1b37a2729da523445b2b87af8e87e475b5bf27ec","first_computed_at":"2026-05-18T01:03:46.270627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:46.270627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+N69R57dAQXnCB1lQoi+K8b57EaDmv+1YYHOElnRySOx8Vt3iFCYxIC52bZR+9gPwpEt18oWeOB1GOAl+OQuDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:46.271034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:794b3282cade03cb8385ca70a2cc9d76c3143a196a25e5e6fa8f41d33f708bef","sha256:4e1622170865b75ae020a56131d368b27c56a72a6502257199631f2888a35b28"],"state_sha256":"de50f97f6bfb331912d812c737ebeaefcf8e1ecc4b8c0649f2ecba023e48bb2e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+eZJNZq1L5ZT6r6WgBxUPp5x6RHXRMkTjBjWfVHJqNawNzhFFrhF+PBAFAhnVzBSLaVrCHpyp9d6XkQ9/TACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T04:18:45.295894Z","bundle_sha256":"16c3adcf2237393af3e4853979b4ed7a5bf524ad0adaa7fb7b1daad2f2fe7e7d"}}