{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VVZRQS6SOSQCUH2N24K3DDTOFD","short_pith_number":"pith:VVZRQS6S","schema_version":"1.0","canonical_sha256":"ad73184bd274a02a1f4dd715b18e6e28d856ea5eac1bcc7d6bfbe26c7aab0e4a","source":{"kind":"arxiv","id":"1303.4836","version":1},"attestation_state":"computed","paper":{"title":"Investigation on Bifurcation of Map Satisfying Condition of Periodic Doubling Bifurcation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Sang-Mun Kim","submitted_at":"2013-03-20T04:14:50Z","abstract_excerpt":"In this paper, we consider sufficient conditions for an invariant double circle to occur in a one parameter discrete dynamical systems on a cylinder."},"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":"1303.4836","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-03-20T04:14:50Z","cross_cats_sorted":[],"title_canon_sha256":"b8833a397fef026e08920ba9f6aa9c7a716563da970d8ffeb9fd68014b1641d9","abstract_canon_sha256":"0fc1a990a21bda2f5abe9884b36ff0d875c1aff0e290dbe623582bd0ba2e082b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:24.713401Z","signature_b64":"4SgT26XnsgBAlzE0Mj8v7wh/7NvktEvQWX+BFM3UaZsQ6MqNnULzBRfcJjWnnWcMTNNxfByBzy6Mj/GaPoIcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad73184bd274a02a1f4dd715b18e6e28d856ea5eac1bcc7d6bfbe26c7aab0e4a","last_reissued_at":"2026-05-18T03:30:24.712723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:24.712723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Investigation on Bifurcation of Map Satisfying Condition of Periodic Doubling Bifurcation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Sang-Mun Kim","submitted_at":"2013-03-20T04:14:50Z","abstract_excerpt":"In this paper, we consider sufficient conditions for an invariant double circle to occur in a one parameter discrete dynamical systems on a cylinder."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4836","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":"1303.4836","created_at":"2026-05-18T03:30:24.712826+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.4836v1","created_at":"2026-05-18T03:30:24.712826+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4836","created_at":"2026-05-18T03:30:24.712826+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVZRQS6SOSQC","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVZRQS6SOSQCUH2N","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVZRQS6S","created_at":"2026-05-18T12:28:04.890932+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/VVZRQS6SOSQCUH2N24K3DDTOFD","json":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD.json","graph_json":"https://pith.science/api/pith-number/VVZRQS6SOSQCUH2N24K3DDTOFD/graph.json","events_json":"https://pith.science/api/pith-number/VVZRQS6SOSQCUH2N24K3DDTOFD/events.json","paper":"https://pith.science/paper/VVZRQS6S"},"agent_actions":{"view_html":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD","download_json":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD.json","view_paper":"https://pith.science/paper/VVZRQS6S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.4836&json=true","fetch_graph":"https://pith.science/api/pith-number/VVZRQS6SOSQCUH2N24K3DDTOFD/graph.json","fetch_events":"https://pith.science/api/pith-number/VVZRQS6SOSQCUH2N24K3DDTOFD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD/action/storage_attestation","attest_author":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD/action/author_attestation","sign_citation":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD/action/citation_signature","submit_replication":"https://pith.science/pith/VVZRQS6SOSQCUH2N24K3DDTOFD/action/replication_record"}},"created_at":"2026-05-18T03:30:24.712826+00:00","updated_at":"2026-05-18T03:30:24.712826+00:00"}