{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7WO4TJ54N7CWBOVWIVBSQVT4AQ","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":"6bd02211dba0d4c7857035c3af437c43ec2a60dbaaf737e812add166c1e06ecf","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-04-11T15:27:38Z","title_canon_sha256":"96e9b56c74fb4c64c2facd6ac39da6b84b26f92a9eb21f9c03b07b5a38ead22f"},"schema_version":"1.0","source":{"id":"1704.03355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03355","created_at":"2026-05-18T00:45:38Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03355v1","created_at":"2026-05-18T00:45:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03355","created_at":"2026-05-18T00:45:38Z"},{"alias_kind":"pith_short_12","alias_value":"7WO4TJ54N7CW","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7WO4TJ54N7CWBOVW","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7WO4TJ54","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:72bbb4df7f512a84ff9777d53edacf2b03f5bf726b4fd1f9ddf07967cf7167ba","target":"graph","created_at":"2026-05-18T00:45:38Z","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 a standard bifurcation of a dynamical system, the stationary points (or more generally attractors) change qualitatively when varying a control parameter. Here we describe a novel unusual effect, when the change of a parameter, e.g. a growth rate, does not influence the stationary states, but nevertheless leads to a qualitative change of dynamics. For instance, such a dynamic transition can be between the convergence to a stationary state and a strong increase without stationary states, or between the convergence to one stationary state and that to a different state. This effect is illustrat","authors_text":"D. Sornette, E.P. Yukalova, V.I. Yukalov","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-04-11T15:27:38Z","title":"Dynamic Transition in Symbiotic Evolution Induced by Growth Rate Variation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03355","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:fad1731a96a852f552348640219c432f1aa365784e4d3b3f8f1b7df97d5f783a","target":"record","created_at":"2026-05-18T00:45:38Z","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":"6bd02211dba0d4c7857035c3af437c43ec2a60dbaaf737e812add166c1e06ecf","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-04-11T15:27:38Z","title_canon_sha256":"96e9b56c74fb4c64c2facd6ac39da6b84b26f92a9eb21f9c03b07b5a38ead22f"},"schema_version":"1.0","source":{"id":"1704.03355","kind":"arxiv","version":1}},"canonical_sha256":"fd9dc9a7bc6fc560bab6454328567c0416ea3fe47bd38421c03c0064ed2c415c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd9dc9a7bc6fc560bab6454328567c0416ea3fe47bd38421c03c0064ed2c415c","first_computed_at":"2026-05-18T00:45:38.539777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:38.539777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RUbLoqbEpPZNos2t/vYxpICP9Hc5oZov4yIUNz8iyBgw2rhdG0aFMRYvZ89QY9IV0EyksZGZ+PF+B6uqNoAvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:38.540284Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fad1731a96a852f552348640219c432f1aa365784e4d3b3f8f1b7df97d5f783a","sha256:72bbb4df7f512a84ff9777d53edacf2b03f5bf726b4fd1f9ddf07967cf7167ba"],"state_sha256":"6f1024260c4f67caacdbf172359de5e5522e2e53384b0bb9c97c3330fcce88ef"}