{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SMEWIDLZRRRWRYHOO24VLGNWC2","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":"6228ef4c782cd08207be2bec390ab8d1a1ff41e41b95f966b73d2477faac2632","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-27T04:51:57Z","title_canon_sha256":"e11eb56a3aa05f5fa6989ec47c9fa77f53002f74290d3a70d39934091cd9d011"},"schema_version":"1.0","source":{"id":"1908.10671","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.10671","created_at":"2026-07-05T00:45:52Z"},{"alias_kind":"arxiv_version","alias_value":"1908.10671v2","created_at":"2026-07-05T00:45:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.10671","created_at":"2026-07-05T00:45:52Z"},{"alias_kind":"pith_short_12","alias_value":"SMEWIDLZRRRW","created_at":"2026-07-05T00:45:52Z"},{"alias_kind":"pith_short_16","alias_value":"SMEWIDLZRRRWRYHO","created_at":"2026-07-05T00:45:52Z"},{"alias_kind":"pith_short_8","alias_value":"SMEWIDLZ","created_at":"2026-07-05T00:45:52Z"}],"graph_snapshots":[{"event_id":"sha256:bfdaf8dc16757d03e9d70a25e6948d96ca642280990e24ff0b8f1f274a3da631","target":"graph","created_at":"2026-07-05T00:45:52Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.10671/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the discrete Green's function to elucidate how resource fluctuations determine flow fluctuations in a network optimizing a global cost function. To enhance the robustness of the network against fluctuations, we develop the schemes of optimal bandwidth allocation in links and optimal resource adjustment in nodes. With the total bandwidth of the network fixed, the approach of optimal bandwidth allocation is to increase the bandwidth in links such that the number of overloaded links or the amount of excess flows in networks under fluctuations can be minimized. Similarly, the approach","authors_text":"K. Y. Henry Tsang, K. Y. Michael Wong","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-27T04:51:57Z","title":"Bandwidth Allocation and Resource Adjustment for Stability Enhancement in Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.10671","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:ee5e09b9dcd01cd5fdca3b263a81f98fd261eef00c619e1e2bb9b51d27bd8db8","target":"record","created_at":"2026-07-05T00:45:52Z","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":"6228ef4c782cd08207be2bec390ab8d1a1ff41e41b95f966b73d2477faac2632","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-27T04:51:57Z","title_canon_sha256":"e11eb56a3aa05f5fa6989ec47c9fa77f53002f74290d3a70d39934091cd9d011"},"schema_version":"1.0","source":{"id":"1908.10671","kind":"arxiv","version":2}},"canonical_sha256":"9309640d798c6368e0ee76b95599b61694f08acca7c93af1fc1df1cd419ac926","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9309640d798c6368e0ee76b95599b61694f08acca7c93af1fc1df1cd419ac926","first_computed_at":"2026-07-05T00:45:52.160265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:45:52.160265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2y16rhlGduA/lcqQTDLMjvR5sWJO8aAhfEhiGabQ7TvFC/Zp2GosK9kQDFG2qUECrBSdT8AMzABQEkG+VoqDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:45:52.160658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.10671","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee5e09b9dcd01cd5fdca3b263a81f98fd261eef00c619e1e2bb9b51d27bd8db8","sha256:bfdaf8dc16757d03e9d70a25e6948d96ca642280990e24ff0b8f1f274a3da631"],"state_sha256":"7527ad8c24ef9d41666b75bf1912fee3766acf157b42053261dac1cfdad5b23e"}