{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JBVF2TYHBHFAJY23IWFCR4BCOC","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":"652b1876346f09f07b607eb9d42a55e988a743756e36feb829e14442e81b8b90","cross_cats_sorted":["physics.bio-ph","physics.data-an","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-12T08:24:12Z","title_canon_sha256":"1f5c9cad8137cd1fe61975f844b9b63e16a1e31a58d53ff1fae6779522ccef37"},"schema_version":"1.0","source":{"id":"1609.03299","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03299","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03299v3","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03299","created_at":"2026-05-17T23:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"JBVF2TYHBHFA","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JBVF2TYHBHFAJY23","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JBVF2TYH","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:e37305fd0b086b42a4414b4f5bb67b186e0abb07ecd6658f69f26d7407353520","target":"graph","created_at":"2026-05-17T23:44:15Z","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":"In many non-linear systems, such as plasma oscillation, boson condensation, chemical reaction, and even predatory-prey oscillation, the coarse-grained dynamics are governed by an equation containing anti-symmetric transitions, known as the anti-symmetric Lotka-Volterra (ALV) equations. In this work, we prove the existence of a novel bifurcation mechanism for the ALV equations, where the equilibrium state can be drastically changed by flipping the stability of a pair of fixed points. As an application, we focus on the implications of the bifurcation mechanism for evolutionary networks; we found","authors_text":"Angsheng Li, Man-Hong Yung, Xi Yong, Xue-Ke Song, Xun Gao","cross_cats":["physics.bio-ph","physics.data-an","physics.soc-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-12T08:24:12Z","title":"Emergence of Network Bifurcation Triggered by Entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03299","kind":"arxiv","version":3},"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:aa993b388598227aa5fb2ac62eeef4400633e90d27a4219975959d6c8d5a288e","target":"record","created_at":"2026-05-17T23:44:15Z","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":"652b1876346f09f07b607eb9d42a55e988a743756e36feb829e14442e81b8b90","cross_cats_sorted":["physics.bio-ph","physics.data-an","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2016-09-12T08:24:12Z","title_canon_sha256":"1f5c9cad8137cd1fe61975f844b9b63e16a1e31a58d53ff1fae6779522ccef37"},"schema_version":"1.0","source":{"id":"1609.03299","kind":"arxiv","version":3}},"canonical_sha256":"486a5d4f0709ca04e35b458a28f0227085c598cc718635e199f6ea5d3d9d60fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"486a5d4f0709ca04e35b458a28f0227085c598cc718635e199f6ea5d3d9d60fd","first_computed_at":"2026-05-17T23:44:15.746610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:15.746610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TQW9dwVDafEMgdVSxjuh9NtZfkT0dwSnfZFWDO/w4wUfpfqgagPsKcDC8TMgaIjpi1XGCxJ5V3qi1kBcDqSbCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:15.747368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03299","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa993b388598227aa5fb2ac62eeef4400633e90d27a4219975959d6c8d5a288e","sha256:e37305fd0b086b42a4414b4f5bb67b186e0abb07ecd6658f69f26d7407353520"],"state_sha256":"f762fb701b88b9d72ebb997a2eb3306c3535984a48697c2599c2849615ee2faf"}