{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4H3KLI7TDKQWUBO2HRNDH7DTZI","short_pith_number":"pith:4H3KLI7T","schema_version":"1.0","canonical_sha256":"e1f6a5a3f31aa16a05da3c5a33fc73ca2f2a23dabe4ca3c40e4f9ccdd2faaba4","source":{"kind":"arxiv","id":"1306.6799","version":1},"attestation_state":"computed","paper":{"title":"Structural stability of the inverse limit of endomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Kocsard, Pierre Berger","submitted_at":"2013-06-28T11:28:49Z","abstract_excerpt":"We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of $C^1$-inverse limit structurally stable covering 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":"1306.6799","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-06-28T11:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"cda36ae5f00c8243be703d142dd898821a8b4ed50685e3ff913d5739e3781077","abstract_canon_sha256":"46270506978790bd824935f8d4b1819ad55f142c4588fba4e2c7de2476afa35d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:42.951126Z","signature_b64":"MGokSq/f7O2etu32XuzPasNJf2ua0CZvjw4v6kmrx/GX3FDhhuQsXASgBYlPzNXtOUdtuefF5HlkfRxTLuQ0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1f6a5a3f31aa16a05da3c5a33fc73ca2f2a23dabe4ca3c40e4f9ccdd2faaba4","last_reissued_at":"2026-05-18T03:19:42.950394Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:42.950394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structural stability of the inverse limit of endomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Kocsard, Pierre Berger","submitted_at":"2013-06-28T11:28:49Z","abstract_excerpt":"We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of $C^1$-inverse limit structurally stable covering maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6799","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":"1306.6799","created_at":"2026-05-18T03:19:42.950513+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.6799v1","created_at":"2026-05-18T03:19:42.950513+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6799","created_at":"2026-05-18T03:19:42.950513+00:00"},{"alias_kind":"pith_short_12","alias_value":"4H3KLI7TDKQW","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"4H3KLI7TDKQWUBO2","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"4H3KLI7T","created_at":"2026-05-18T12:27:34.582898+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/4H3KLI7TDKQWUBO2HRNDH7DTZI","json":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI.json","graph_json":"https://pith.science/api/pith-number/4H3KLI7TDKQWUBO2HRNDH7DTZI/graph.json","events_json":"https://pith.science/api/pith-number/4H3KLI7TDKQWUBO2HRNDH7DTZI/events.json","paper":"https://pith.science/paper/4H3KLI7T"},"agent_actions":{"view_html":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI","download_json":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI.json","view_paper":"https://pith.science/paper/4H3KLI7T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.6799&json=true","fetch_graph":"https://pith.science/api/pith-number/4H3KLI7TDKQWUBO2HRNDH7DTZI/graph.json","fetch_events":"https://pith.science/api/pith-number/4H3KLI7TDKQWUBO2HRNDH7DTZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI/action/storage_attestation","attest_author":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI/action/author_attestation","sign_citation":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI/action/citation_signature","submit_replication":"https://pith.science/pith/4H3KLI7TDKQWUBO2HRNDH7DTZI/action/replication_record"}},"created_at":"2026-05-18T03:19:42.950513+00:00","updated_at":"2026-05-18T03:19:42.950513+00:00"}