{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:25M4EH36AROCQXXNWED6W6FAXY","short_pith_number":"pith:25M4EH36","schema_version":"1.0","canonical_sha256":"d759c21f7e045c285eedb107eb78a0be149bed207d46d15288694695eca1ced6","source":{"kind":"arxiv","id":"1711.10422","version":1},"attestation_state":"computed","paper":{"title":"Extensions of bounded holomorphic functions on the tridisk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"John McCarthy, Lukasz Kosinski","submitted_at":"2017-11-28T17:28:49Z","abstract_excerpt":"We study sets $V$ in the tridisc that are relatively polynomially convex and have the polynomial extension property. If $V$ is one-dimensional, and is either algebraic, or has polynomially convex projections, we show that it is a retract. If $V$ is two-dimensional, we show that either it is a retract, or, for any choice of the coordinate functions, it is the graph of a function of two variables."},"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":"1711.10422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-11-28T17:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"6f962eab429a246af7a15618a81fb23ebe92bbbe5bbada64b358116f60bd2852","abstract_canon_sha256":"44c958b5cf25e104b724b4c5e0949f4035e53e16a68e8a77b197c15465b1fa9c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:22.173396Z","signature_b64":"TlWrcLRsW454DbFbhvwP0VeRZwWjlGqXAdTVUb6cRghLgDp1x47xaZKAGEREEOCtT0dIts07xBpH9v2ZMDQDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d759c21f7e045c285eedb107eb78a0be149bed207d46d15288694695eca1ced6","last_reissued_at":"2026-05-18T00:29:22.172768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:22.172768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extensions of bounded holomorphic functions on the tridisk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"John McCarthy, Lukasz Kosinski","submitted_at":"2017-11-28T17:28:49Z","abstract_excerpt":"We study sets $V$ in the tridisc that are relatively polynomially convex and have the polynomial extension property. If $V$ is one-dimensional, and is either algebraic, or has polynomially convex projections, we show that it is a retract. If $V$ is two-dimensional, we show that either it is a retract, or, for any choice of the coordinate functions, it is the graph of a function of two variables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10422","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":"1711.10422","created_at":"2026-05-18T00:29:22.172863+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.10422v1","created_at":"2026-05-18T00:29:22.172863+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10422","created_at":"2026-05-18T00:29:22.172863+00:00"},{"alias_kind":"pith_short_12","alias_value":"25M4EH36AROC","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"25M4EH36AROCQXXN","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"25M4EH36","created_at":"2026-05-18T12:30:55.937587+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/25M4EH36AROCQXXNWED6W6FAXY","json":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY.json","graph_json":"https://pith.science/api/pith-number/25M4EH36AROCQXXNWED6W6FAXY/graph.json","events_json":"https://pith.science/api/pith-number/25M4EH36AROCQXXNWED6W6FAXY/events.json","paper":"https://pith.science/paper/25M4EH36"},"agent_actions":{"view_html":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY","download_json":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY.json","view_paper":"https://pith.science/paper/25M4EH36","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.10422&json=true","fetch_graph":"https://pith.science/api/pith-number/25M4EH36AROCQXXNWED6W6FAXY/graph.json","fetch_events":"https://pith.science/api/pith-number/25M4EH36AROCQXXNWED6W6FAXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY/action/storage_attestation","attest_author":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY/action/author_attestation","sign_citation":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY/action/citation_signature","submit_replication":"https://pith.science/pith/25M4EH36AROCQXXNWED6W6FAXY/action/replication_record"}},"created_at":"2026-05-18T00:29:22.172863+00:00","updated_at":"2026-05-18T00:29:22.172863+00:00"}