{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NADRF5LPDVAJFRKKHDL6VIQE2X","short_pith_number":"pith:NADRF5LP","schema_version":"1.0","canonical_sha256":"680712f56f1d4092c54a38d7eaa204d5efa6a18ab33c0c406a48e55f517f889a","source":{"kind":"arxiv","id":"1707.06404","version":1},"attestation_state":"computed","paper":{"title":"Bifurcation of 2-periodic orbits from non-hyperbolic fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anna Cima, Armengol Gasull, V\\'ictor Ma\\~nosa","submitted_at":"2017-07-20T07:50:52Z","abstract_excerpt":"We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful in order to study the number of 2-periodic orbits that can bifurcate from the fixed point. As an application we study the 2-cyclicity of some natural families of polynomial maps."},"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":"1707.06404","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-07-20T07:50:52Z","cross_cats_sorted":[],"title_canon_sha256":"56dfb2fa481ee114e17a5989cca4ee92351b9dadf06ba450cda20577d253ba92","abstract_canon_sha256":"b6a099c04507cd49acd4af86f3a272879464542cb1cf3c8f85845635969f2c7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:12.727034Z","signature_b64":"wok9oWav9suwJrK4W46m7AGk98ZJYm5wIq1zhwGE6ZQjU+Yc0GKt6Z+usZMDE6l2oGlIYMXrkrM2+utQYhBSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"680712f56f1d4092c54a38d7eaa204d5efa6a18ab33c0c406a48e55f517f889a","last_reissued_at":"2026-05-18T00:26:12.726613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:12.726613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bifurcation of 2-periodic orbits from non-hyperbolic fixed points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anna Cima, Armengol Gasull, V\\'ictor Ma\\~nosa","submitted_at":"2017-07-20T07:50:52Z","abstract_excerpt":"We introduce the concept of 2-cyclicity for families of one-dimensional maps with a non-hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus. This new concept is useful in order to study the number of 2-periodic orbits that can bifurcate from the fixed point. As an application we study the 2-cyclicity of some natural families of polynomial maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06404","kind":"arxiv","version":1},"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":"1707.06404","created_at":"2026-05-18T00:26:12.726681+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06404v1","created_at":"2026-05-18T00:26:12.726681+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06404","created_at":"2026-05-18T00:26:12.726681+00:00"},{"alias_kind":"pith_short_12","alias_value":"NADRF5LPDVAJ","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_16","alias_value":"NADRF5LPDVAJFRKK","created_at":"2026-05-18T12:31:31.346846+00:00"},{"alias_kind":"pith_short_8","alias_value":"NADRF5LP","created_at":"2026-05-18T12:31:31.346846+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/NADRF5LPDVAJFRKKHDL6VIQE2X","json":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X.json","graph_json":"https://pith.science/api/pith-number/NADRF5LPDVAJFRKKHDL6VIQE2X/graph.json","events_json":"https://pith.science/api/pith-number/NADRF5LPDVAJFRKKHDL6VIQE2X/events.json","paper":"https://pith.science/paper/NADRF5LP"},"agent_actions":{"view_html":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X","download_json":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X.json","view_paper":"https://pith.science/paper/NADRF5LP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06404&json=true","fetch_graph":"https://pith.science/api/pith-number/NADRF5LPDVAJFRKKHDL6VIQE2X/graph.json","fetch_events":"https://pith.science/api/pith-number/NADRF5LPDVAJFRKKHDL6VIQE2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X/action/storage_attestation","attest_author":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X/action/author_attestation","sign_citation":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X/action/citation_signature","submit_replication":"https://pith.science/pith/NADRF5LPDVAJFRKKHDL6VIQE2X/action/replication_record"}},"created_at":"2026-05-18T00:26:12.726681+00:00","updated_at":"2026-05-18T00:26:12.726681+00:00"}