{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:Q7G2LVAGAQKGK6KGO6VXMJMLZE","short_pith_number":"pith:Q7G2LVAG","schema_version":"1.0","canonical_sha256":"87cda5d406041465794677ab76258bc91cb79753de8c2d6f0ed96addc03d5d7f","source":{"kind":"arxiv","id":"1204.0349","version":1},"attestation_state":"computed","paper":{"title":"Contracting Quadratic Operators of Bisexual Population","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"N. N. Ganikhodjaev, U. U. Jamilov","submitted_at":"2012-04-02T09:03:23Z","abstract_excerpt":"In this paper we find a sufficient condition under which the operator of bisexual population is contraction and show that this condition is not necessary."},"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":"1204.0349","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-04-02T09:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"da44f7437a78bebf46db4e3de6bf88eece124bf8eea162720cf448a9f30de538","abstract_canon_sha256":"0df7c94addd260dc690f4b53d7e4993120bd06149b59b1981f35ab019d2aba43"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:49.050017Z","signature_b64":"VKtE+OeiyLeOcazKVKAfkySsieuV44VAHv2nQX/g4aUNL093kXaBHN8PIO3sLaUo3HPQ+JbxXd+pRPJSRL3sCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87cda5d406041465794677ab76258bc91cb79753de8c2d6f0ed96addc03d5d7f","last_reissued_at":"2026-05-18T03:58:49.049451Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:49.049451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Contracting Quadratic Operators of Bisexual Population","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"N. N. Ganikhodjaev, U. U. Jamilov","submitted_at":"2012-04-02T09:03:23Z","abstract_excerpt":"In this paper we find a sufficient condition under which the operator of bisexual population is contraction and show that this condition is not necessary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0349","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":"1204.0349","created_at":"2026-05-18T03:58:49.049541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0349v1","created_at":"2026-05-18T03:58:49.049541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0349","created_at":"2026-05-18T03:58:49.049541+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q7G2LVAGAQKG","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q7G2LVAGAQKGK6KG","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q7G2LVAG","created_at":"2026-05-18T12:27:18.751474+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/Q7G2LVAGAQKGK6KGO6VXMJMLZE","json":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE.json","graph_json":"https://pith.science/api/pith-number/Q7G2LVAGAQKGK6KGO6VXMJMLZE/graph.json","events_json":"https://pith.science/api/pith-number/Q7G2LVAGAQKGK6KGO6VXMJMLZE/events.json","paper":"https://pith.science/paper/Q7G2LVAG"},"agent_actions":{"view_html":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE","download_json":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE.json","view_paper":"https://pith.science/paper/Q7G2LVAG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0349&json=true","fetch_graph":"https://pith.science/api/pith-number/Q7G2LVAGAQKGK6KGO6VXMJMLZE/graph.json","fetch_events":"https://pith.science/api/pith-number/Q7G2LVAGAQKGK6KGO6VXMJMLZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE/action/storage_attestation","attest_author":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE/action/author_attestation","sign_citation":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE/action/citation_signature","submit_replication":"https://pith.science/pith/Q7G2LVAGAQKGK6KGO6VXMJMLZE/action/replication_record"}},"created_at":"2026-05-18T03:58:49.049541+00:00","updated_at":"2026-05-18T03:58:49.049541+00:00"}