{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5MB3QFLZVOJIIPFH4GQBKKNY2X","short_pith_number":"pith:5MB3QFLZ","schema_version":"1.0","canonical_sha256":"eb03b81579ab92843ca7e1a01529b8d5e0994b6a22491c7c0283d7fc7fe6342b","source":{"kind":"arxiv","id":"1401.7125","version":2},"attestation_state":"computed","paper":{"title":"Early warning signs for saddle-escape transitions in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.QM"],"primary_cat":"nlin.AO","authors_text":"Christian Kuehn, Gerd Zschaler, Thilo gross","submitted_at":"2014-01-28T10:07:03Z","abstract_excerpt":"Many real world systems are at risk of undergoing critical transitions, leading to sudden qualitative and sometimes irreversible regime shifts. The development of early warning signals is recognized as a major challenge. Recent progress builds on a mathematical framework in which a real-world system is described by a low-dimensional equation system with a small number of key variables, where the critical transition often corresponds to a bifurcation. Here we show that in high-dimensional systems, containing many variables, we frequently encounter an additional non-bifurcative saddle-type mecha"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1401.7125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2014-01-28T10:07:03Z","cross_cats_sorted":["math.DS","q-bio.QM"],"title_canon_sha256":"89d6c1aa03840e9ac9d0b1ffb5203ef9e905c4a0291d1ae339e3024cd9402239","abstract_canon_sha256":"fb9d3966d97ae36053b5c7e82a940ee16ad45170a919c5cb2a9a9887c7c7c3fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:02.318732Z","signature_b64":"YQE/fGKb1HKkPouUdO0mRM7HVlrtQ0qc2k3dG4FNaZ85tKOyO5k2nxwScZ3a6fqyIjzfV9d/LHcLGa+X7PPfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb03b81579ab92843ca7e1a01529b8d5e0994b6a22491c7c0283d7fc7fe6342b","last_reissued_at":"2026-05-18T00:50:02.318125Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:02.318125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Early warning signs for saddle-escape transitions in complex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.QM"],"primary_cat":"nlin.AO","authors_text":"Christian Kuehn, Gerd Zschaler, Thilo gross","submitted_at":"2014-01-28T10:07:03Z","abstract_excerpt":"Many real world systems are at risk of undergoing critical transitions, leading to sudden qualitative and sometimes irreversible regime shifts. The development of early warning signals is recognized as a major challenge. Recent progress builds on a mathematical framework in which a real-world system is described by a low-dimensional equation system with a small number of key variables, where the critical transition often corresponds to a bifurcation. Here we show that in high-dimensional systems, containing many variables, we frequently encounter an additional non-bifurcative saddle-type mecha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7125","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.7125","created_at":"2026-05-18T00:50:02.318223+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.7125v2","created_at":"2026-05-18T00:50:02.318223+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7125","created_at":"2026-05-18T00:50:02.318223+00:00"},{"alias_kind":"pith_short_12","alias_value":"5MB3QFLZVOJI","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5MB3QFLZVOJIIPFH","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5MB3QFLZ","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X","json":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X.json","graph_json":"https://pith.science/api/pith-number/5MB3QFLZVOJIIPFH4GQBKKNY2X/graph.json","events_json":"https://pith.science/api/pith-number/5MB3QFLZVOJIIPFH4GQBKKNY2X/events.json","paper":"https://pith.science/paper/5MB3QFLZ"},"agent_actions":{"view_html":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X","download_json":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X.json","view_paper":"https://pith.science/paper/5MB3QFLZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.7125&json=true","fetch_graph":"https://pith.science/api/pith-number/5MB3QFLZVOJIIPFH4GQBKKNY2X/graph.json","fetch_events":"https://pith.science/api/pith-number/5MB3QFLZVOJIIPFH4GQBKKNY2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X/action/storage_attestation","attest_author":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X/action/author_attestation","sign_citation":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X/action/citation_signature","submit_replication":"https://pith.science/pith/5MB3QFLZVOJIIPFH4GQBKKNY2X/action/replication_record"}},"created_at":"2026-05-18T00:50:02.318223+00:00","updated_at":"2026-05-18T00:50:02.318223+00:00"}