{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JW5YRQAPYHOM3BE7WWI5AKXDIF","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":"cbf7df9d86511d8fd16a0219c99d2c815fd0ceeff07e62040736655ab5adac5a","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-07T09:53:02Z","title_canon_sha256":"e0b2c52ba82e41536f0c57cdd1afdce14bf00e8dee00605416385e28a4c5dc2c"},"schema_version":"1.0","source":{"id":"2606.08544","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08544","created_at":"2026-06-09T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08544v1","created_at":"2026-06-09T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08544","created_at":"2026-06-09T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"JW5YRQAPYHOM","created_at":"2026-06-09T01:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"JW5YRQAPYHOM3BE7","created_at":"2026-06-09T01:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"JW5YRQAP","created_at":"2026-06-09T01:05:39Z"}],"graph_snapshots":[{"event_id":"sha256:26ed782a5776afcb3b03c2fd55f5a1099253df27392195211a3d8e143d406e37","target":"graph","created_at":"2026-06-09T01:05:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.08544/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In multi-hop device-to-device (D2D) networks, the optimization of network-level metrics is particularly difficult due to the tight coupling between network-layer routing and physical-layer resource allocation. Departing from traditional average-performance metrics, this paper addresses the joint optimization of routing paths, transmission power, and bandwidth allocation. We formulate a generalized cost function to minimize the maximum transmission time (i.e., the bottleneck delay) alongside the total energy consumption. To tackle the resulting highly non-convex formulation, we propose a novel ","authors_text":"Caixia Kou, Jacek Gondzio, Kai-Xiang Hu","cross_cats":["cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-07T09:53:02Z","title":"Block coordinate descent for joint delay-energy optimization in multi-hop D2D networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08544","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":"sha256:1597abc8e85ea4b27a6c7e4121499e3630d7da1dc452e9549e5d07f195be8f6a","target":"record","created_at":"2026-06-09T01:05:39Z","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":"cbf7df9d86511d8fd16a0219c99d2c815fd0ceeff07e62040736655ab5adac5a","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-06-07T09:53:02Z","title_canon_sha256":"e0b2c52ba82e41536f0c57cdd1afdce14bf00e8dee00605416385e28a4c5dc2c"},"schema_version":"1.0","source":{"id":"2606.08544","kind":"arxiv","version":1}},"canonical_sha256":"4dbb88c00fc1dccd849fb591d02ae341544281efa30df833e3c63c950f455622","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dbb88c00fc1dccd849fb591d02ae341544281efa30df833e3c63c950f455622","first_computed_at":"2026-06-09T01:05:39.678266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:39.678266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4HD9AHT7BDg8kqb4CcbfOv4QhxdTAQxszxOCgGu7NMr/JFsn4dpoXb892G3cG7WjhpV3wJ4awy9lwEZdygXjCA==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:39.678682Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.08544","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1597abc8e85ea4b27a6c7e4121499e3630d7da1dc452e9549e5d07f195be8f6a","sha256:26ed782a5776afcb3b03c2fd55f5a1099253df27392195211a3d8e143d406e37"],"state_sha256":"38fe9a91426d0121ce395c44bbc9487269b072be5bbe9d25ca3efb9ba6930232"}