{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HTJ7Z4M3SJFXP5ERTUA6TNAYQQ","short_pith_number":"pith:HTJ7Z4M3","schema_version":"1.0","canonical_sha256":"3cd3fcf19b924b77f4919d01e9b4188423ee445d2b9c466c75e987a6dd0afa15","source":{"kind":"arxiv","id":"1803.10471","version":1},"attestation_state":"computed","paper":{"title":"Degeneration of quadratic polynomial endomorphisms to a H\\'enon map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"Fabrizio Bianchi, Y\\^usuke Okuyama","submitted_at":"2018-03-28T09:04:50Z","abstract_excerpt":"For an algebraic family $(f_t)$ of regular quadratic polynomial endomorphisms of $\\mathbb{C}^2$ parametrized by $\\mathbb{D}^*$ and degenerating to a H\\'enon map at $t=0$, we study the continuous (and indeed harmonic) extendibility across $t=0$ of a potential of the bifurcation current on $\\mathbb{D}^*$ with the explicit computation of the non-archimedean Lyapunov exponent associated to $(f_t)$. The individual Lyapunov exponents of $f_t$ are also investigated near $t=0$. Using $(f_t)$, we also see that any H\\'enon map is accumulated by the bifurcation locus in the space of quadratic holomorphic"},"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":"1803.10471","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-03-28T09:04:50Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"761004980587348b0e226b45143973f527066d0fcc08eae570d1f9d699e15c55","abstract_canon_sha256":"1f66c9f0fd8fdeaf66bc071dcb82a234b4e34bea8a60cb51eb34c549227c7cbb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:55.291362Z","signature_b64":"c5UxpSe9l+ut6HHFDM3PhPqG4yJDBKPWYRGdXM/bgn9aAZujHE8qZmGC3M/Kzo+KA9l1QKqiOjxkBnnXJ1fYDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cd3fcf19b924b77f4919d01e9b4188423ee445d2b9c466c75e987a6dd0afa15","last_reissued_at":"2026-05-18T00:19:55.290647Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:55.290647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Degeneration of quadratic polynomial endomorphisms to a H\\'enon map","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"Fabrizio Bianchi, Y\\^usuke Okuyama","submitted_at":"2018-03-28T09:04:50Z","abstract_excerpt":"For an algebraic family $(f_t)$ of regular quadratic polynomial endomorphisms of $\\mathbb{C}^2$ parametrized by $\\mathbb{D}^*$ and degenerating to a H\\'enon map at $t=0$, we study the continuous (and indeed harmonic) extendibility across $t=0$ of a potential of the bifurcation current on $\\mathbb{D}^*$ with the explicit computation of the non-archimedean Lyapunov exponent associated to $(f_t)$. The individual Lyapunov exponents of $f_t$ are also investigated near $t=0$. Using $(f_t)$, we also see that any H\\'enon map is accumulated by the bifurcation locus in the space of quadratic holomorphic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10471","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":"1803.10471","created_at":"2026-05-18T00:19:55.290760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10471v1","created_at":"2026-05-18T00:19:55.290760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10471","created_at":"2026-05-18T00:19:55.290760+00:00"},{"alias_kind":"pith_short_12","alias_value":"HTJ7Z4M3SJFX","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"HTJ7Z4M3SJFXP5ER","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"HTJ7Z4M3","created_at":"2026-05-18T12:32:28.185984+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/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ","json":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ.json","graph_json":"https://pith.science/api/pith-number/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/graph.json","events_json":"https://pith.science/api/pith-number/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/events.json","paper":"https://pith.science/paper/HTJ7Z4M3"},"agent_actions":{"view_html":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ","download_json":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ.json","view_paper":"https://pith.science/paper/HTJ7Z4M3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10471&json=true","fetch_graph":"https://pith.science/api/pith-number/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/graph.json","fetch_events":"https://pith.science/api/pith-number/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/action/storage_attestation","attest_author":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/action/author_attestation","sign_citation":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/action/citation_signature","submit_replication":"https://pith.science/pith/HTJ7Z4M3SJFXP5ERTUA6TNAYQQ/action/replication_record"}},"created_at":"2026-05-18T00:19:55.290760+00:00","updated_at":"2026-05-18T00:19:55.290760+00:00"}