{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:V2CMKX463YRGDOXDI7ASH2GCTF","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":"1b222e1bcccd2839058339eb5c47d167b4ee7482980efacaef97d06c44607815","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-10T20:09:56Z","title_canon_sha256":"454783c00978e376e95e68fafe2a52b66987f22f90c1e8b23a8752c377a2d18e"},"schema_version":"1.0","source":{"id":"1306.2340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2340","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2340v1","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2340","created_at":"2026-05-18T03:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"V2CMKX463YRG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"V2CMKX463YRGDOXD","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"V2CMKX46","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:91528f7fe4f829b4e48c7dd0965335a5463b2a6369800aa4cc7a3115f52f1aa2","target":"graph","created_at":"2026-05-18T03:21:21Z","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":"We prove that the number of limit cycles, which bifurcate from a two-saddle loop of a planar quadratic Hamiltonian system, under an arbitrary quadratic deformation, is less than or equal to three.","authors_text":"Iliya D. Iliev, Lubomir Gavrilov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-10T20:09:56Z","title":"Perturbations of quadratic Hamiltonian two-saddle cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2340","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":"sha256:5a63ccad55975c19932c721b6a217ade88fe4351dbce43e9242b53fc19ed5d4c","target":"record","created_at":"2026-05-18T03:21:21Z","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":"1b222e1bcccd2839058339eb5c47d167b4ee7482980efacaef97d06c44607815","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-10T20:09:56Z","title_canon_sha256":"454783c00978e376e95e68fafe2a52b66987f22f90c1e8b23a8752c377a2d18e"},"schema_version":"1.0","source":{"id":"1306.2340","kind":"arxiv","version":1}},"canonical_sha256":"ae84c55f9ede2261bae347c123e8c2994d1458adcbd06fa08df3a2f3024ced8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae84c55f9ede2261bae347c123e8c2994d1458adcbd06fa08df3a2f3024ced8d","first_computed_at":"2026-05-18T03:21:21.304411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:21.304411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WNKKK3UQSi37GxqZpl9xHIs6fR7WLNv+nFDG6O/6vSpuq2AZ07yy24g8MmzV62I3L1vPHxLM0+aqhizmbwOACg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:21.305154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a63ccad55975c19932c721b6a217ade88fe4351dbce43e9242b53fc19ed5d4c","sha256:91528f7fe4f829b4e48c7dd0965335a5463b2a6369800aa4cc7a3115f52f1aa2"],"state_sha256":"cc7b4c42a54d6569c2ef65f932e79577e32d829c44bb359725a725f698c3f107"}