{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TVP2PV5KMRA7RUROJQ3BC3CVB6","short_pith_number":"pith:TVP2PV5K","canonical_record":{"source":{"id":"1303.3651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-15T00:59:33Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ddd7f60352437f492bf3d01a6713e6f4a389f3bd0ce8a1cb16b3e072e7dd0eb7","abstract_canon_sha256":"79dc69e3f550ec867b50e0bf1178954da387f4d11ee31682185562635016d395"},"schema_version":"1.0"},"canonical_sha256":"9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63","source":{"kind":"arxiv","id":"1303.3651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3651","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3651v1","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3651","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"pith_short_12","alias_value":"TVP2PV5KMRA7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TVP2PV5KMRA7RURO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TVP2PV5K","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TVP2PV5KMRA7RUROJQ3BC3CVB6","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-15T00:59:33Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ddd7f60352437f492bf3d01a6713e6f4a389f3bd0ce8a1cb16b3e072e7dd0eb7","abstract_canon_sha256":"79dc69e3f550ec867b50e0bf1178954da387f4d11ee31682185562635016d395"},"schema_version":"1.0"},"canonical_sha256":"9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:52.784339Z","signature_b64":"FLlldQJJlWq9Bh9wpJURTbvVk+7w8OesXL5aZrF1Z+NgIDA2jGs/kHLI6uQoSFwLV5mOY1zjY9MNr8SCERKODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63","last_reissued_at":"2026-05-18T03:30:52.783517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:52.783517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3651","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":"2026-05-18T03:30:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Co0jntL2t+pZOIrk0feT4N6u8ERtYf7S2DvenPZqfh/+ILc9o+f011xw1G6L02ipvg9ToaBJA0sHaWdXZbRiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:49:25.998338Z"},"content_sha256":"ed089a4c065c5c0bf8b4bdce6d59c27c63109689ab5868a906ab5201cbcc1e0c","schema_version":"1.0","event_id":"sha256:ed089a4c065c5c0bf8b4bdce6d59c27c63109689ab5868a906ab5201cbcc1e0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TVP2PV5KMRA7RUROJQ3BC3CVB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Power Allocation for Energy Harvesting and Power Grid Coexisting Wireless Communication Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jie Gong, Sheng Zhou, Zhisheng Niu","submitted_at":"2013-03-15T00:59:33Z","abstract_excerpt":"This paper considers the power allocation of a single-link wireless communication with joint energy harvesting and grid power supply. We formulate the problem as minimizing the grid power consumption with random energy and data arrival, and analyze the structure of the optimal power allocation policy in some special cases. For the case that all the packets are arrived before transmission, it is a dual problem of throughput maximization, and the optimal solution is found by the two-stage water filling (WF) policy, which allocates the harvested energy in the first stage, and then allocates the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3651","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":"2026-05-18T03:30:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TupGOHstAo0xwzrHvx3llUF10pGyOFrytr+MYwFZwapjrjgJ+biR6pz624owTu8oq2VcR4Zl0pkH6D5xHFObAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:49:25.999025Z"},"content_sha256":"16a4718dee424febac9a61a2749828a653cfdc092f9e95e83b6cba5da8dde1ef","schema_version":"1.0","event_id":"sha256:16a4718dee424febac9a61a2749828a653cfdc092f9e95e83b6cba5da8dde1ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/bundle.json","state_url":"https://pith.science/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/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":"2026-05-26T15:49:26Z","links":{"resolver":"https://pith.science/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6","bundle":"https://pith.science/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/bundle.json","state":"https://pith.science/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TVP2PV5KMRA7RUROJQ3BC3CVB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TVP2PV5KMRA7RUROJQ3BC3CVB6","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":"79dc69e3f550ec867b50e0bf1178954da387f4d11ee31682185562635016d395","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-15T00:59:33Z","title_canon_sha256":"ddd7f60352437f492bf3d01a6713e6f4a389f3bd0ce8a1cb16b3e072e7dd0eb7"},"schema_version":"1.0","source":{"id":"1303.3651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3651","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3651v1","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3651","created_at":"2026-05-18T03:30:52Z"},{"alias_kind":"pith_short_12","alias_value":"TVP2PV5KMRA7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TVP2PV5KMRA7RURO","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TVP2PV5K","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:16a4718dee424febac9a61a2749828a653cfdc092f9e95e83b6cba5da8dde1ef","target":"graph","created_at":"2026-05-18T03:30:52Z","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 paper considers the power allocation of a single-link wireless communication with joint energy harvesting and grid power supply. We formulate the problem as minimizing the grid power consumption with random energy and data arrival, and analyze the structure of the optimal power allocation policy in some special cases. For the case that all the packets are arrived before transmission, it is a dual problem of throughput maximization, and the optimal solution is found by the two-stage water filling (WF) policy, which allocates the harvested energy in the first stage, and then allocates the p","authors_text":"Jie Gong, Sheng Zhou, Zhisheng Niu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-15T00:59:33Z","title":"Optimal Power Allocation for Energy Harvesting and Power Grid Coexisting Wireless Communication Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3651","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:ed089a4c065c5c0bf8b4bdce6d59c27c63109689ab5868a906ab5201cbcc1e0c","target":"record","created_at":"2026-05-18T03:30:52Z","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":"79dc69e3f550ec867b50e0bf1178954da387f4d11ee31682185562635016d395","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-15T00:59:33Z","title_canon_sha256":"ddd7f60352437f492bf3d01a6713e6f4a389f3bd0ce8a1cb16b3e072e7dd0eb7"},"schema_version":"1.0","source":{"id":"1303.3651","kind":"arxiv","version":1}},"canonical_sha256":"9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63","first_computed_at":"2026-05-18T03:30:52.783517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:52.783517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FLlldQJJlWq9Bh9wpJURTbvVk+7w8OesXL5aZrF1Z+NgIDA2jGs/kHLI6uQoSFwLV5mOY1zjY9MNr8SCERKODw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:52.784339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed089a4c065c5c0bf8b4bdce6d59c27c63109689ab5868a906ab5201cbcc1e0c","sha256:16a4718dee424febac9a61a2749828a653cfdc092f9e95e83b6cba5da8dde1ef"],"state_sha256":"1b8e442a5a02df193a53dfaec0fee983a2153dfcd823a6f15671c41fbf120977"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GnWWo3o0pkA9iWaXmoumbDLBs6nAABLc1KambIYrlFYN+mibYMQw5ZZ4ssKKAJMkRlA+BEwkzqLeJF+uaElhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:49:26.002434Z","bundle_sha256":"ac239f3c0bb9d71c67ad8c1b7beccacf8f743aaf90a83214e8eeb21f3c393a64"}}