{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RIKNH4WHZ3UPPMWYVYKFTTVWAX","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":"69f74b679a4efd5eb761e292974699734103c7ab046bed0b5fc6218050ffcd92","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-06-14T00:42:23Z","title_canon_sha256":"f72ed128031b8bd42f963e41cf9c04a847775b980e7fdad239010660d796e202"},"schema_version":"1.0","source":{"id":"1406.3671","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3671","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3671v2","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3671","created_at":"2026-05-18T01:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"RIKNH4WHZ3UP","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RIKNH4WHZ3UPPMWY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RIKNH4WH","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:16ac9d27971ef625b007610a95f9e20e47fb2ddb6dafe45cff538d55fbe5d2e6","target":"graph","created_at":"2026-05-18T01:12:40Z","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 max-min fair rate allocation and routing in energy harvesting networks where fairness is required among both the nodes and the time slots. Unlike most previous work on fairness, we focus on multihop topologies and consider different routing methods. We assume a predictable energy profile and focus on the design of efficient and optimal algorithms that can serve as benchmarks for distributed and approximate algorithms. We first develop an algorithm that obtains a max-min fair rate assignment for any given (time-variable or time-invariable) unsplittable routing or a routing ","authors_text":"Cliff Stein, Gil Zussman, Jelena Marasevic","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-06-14T00:42:23Z","title":"Max-min Fair Rate Allocation and Routing in Energy Harvesting Networks: Algorithmic Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3671","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":"sha256:72db43e620e7f3192efb2bc53cd4e22c87ab8126c5e10de98167c0afee4e6ebe","target":"record","created_at":"2026-05-18T01:12:40Z","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":"69f74b679a4efd5eb761e292974699734103c7ab046bed0b5fc6218050ffcd92","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2014-06-14T00:42:23Z","title_canon_sha256":"f72ed128031b8bd42f963e41cf9c04a847775b980e7fdad239010660d796e202"},"schema_version":"1.0","source":{"id":"1406.3671","kind":"arxiv","version":2}},"canonical_sha256":"8a14d3f2c7cee8f7b2d8ae1459ceb605eb689726a15fe8bdf172a069ae3ec015","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a14d3f2c7cee8f7b2d8ae1459ceb605eb689726a15fe8bdf172a069ae3ec015","first_computed_at":"2026-05-18T01:12:40.698456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:40.698456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DXXRXZWol9RdcbMAzTMpjGnU0vUlV0LFiyIE4uc2oa2UgLHIEndTNrmdwIgpNvwOi4eI8+cr/5M8GMiL6GyuAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:40.698791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3671","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72db43e620e7f3192efb2bc53cd4e22c87ab8126c5e10de98167c0afee4e6ebe","sha256:16ac9d27971ef625b007610a95f9e20e47fb2ddb6dafe45cff538d55fbe5d2e6"],"state_sha256":"23e7ed9a7b07d77c1503660934475a69e12285ce43fea17fb3329ec961c2704f"}