{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:L25B6TJ6DBHG2V6BHMLF2CCTVR","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":"ddc325359af3a03bd71661d064153a6b51f00cdcc3fe7d58cea3d4609ea71626","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-21T15:28:04Z","title_canon_sha256":"4cb0c3bc744d6ee271ac0d20e976030c5bec55099c6c435629e355abf8600984"},"schema_version":"1.0","source":{"id":"1410.5704","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5704","created_at":"2026-05-18T01:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5704v1","created_at":"2026-05-18T01:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5704","created_at":"2026-05-18T01:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"L25B6TJ6DBHG","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"L25B6TJ6DBHG2V6B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"L25B6TJ6","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:ff95623dbb4355426279fcb51f324f01184fa5ca8f6ae51db66c3166348d786c","target":"graph","created_at":"2026-05-18T01:41:41Z","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 study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional surfaces. We consider one and two parameter general unfoldings and establish results related to the emergence of elliptic periodic orbits.","authors_text":"Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-21T15:28:04Z","title":"On bifurcations of area-preserving and non-orientable maps with quadratic homoclinic tangencies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5704","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:c2a9a76c5200c74b20da2ae89e70b8c92630609e8ea8a4fb6e96ab4b96d0f943","target":"record","created_at":"2026-05-18T01:41:41Z","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":"ddc325359af3a03bd71661d064153a6b51f00cdcc3fe7d58cea3d4609ea71626","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2014-10-21T15:28:04Z","title_canon_sha256":"4cb0c3bc744d6ee271ac0d20e976030c5bec55099c6c435629e355abf8600984"},"schema_version":"1.0","source":{"id":"1410.5704","kind":"arxiv","version":1}},"canonical_sha256":"5eba1f4d3e184e6d57c13b165d0853ac7fea29edb650770956c6a7c286332b54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eba1f4d3e184e6d57c13b165d0853ac7fea29edb650770956c6a7c286332b54","first_computed_at":"2026-05-18T01:41:41.490452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:41.490452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RqFgXDOeGiacLJrqLCHulPrQukJZHNEpM5zlO4Dx93IMaSPJXbjs1rd29DbdwuSR3TBKOy6c4ahnH6Pg/h5dDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:41.491002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5704","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2a9a76c5200c74b20da2ae89e70b8c92630609e8ea8a4fb6e96ab4b96d0f943","sha256:ff95623dbb4355426279fcb51f324f01184fa5ca8f6ae51db66c3166348d786c"],"state_sha256":"00734411fcd66c9373a24574c82ea41e84946f9b6d2958274c6a7f0f4989bb15"}