{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:L23M3X5CD3KMRWCC26E3CHBXWQ","short_pith_number":"pith:L23M3X5C","schema_version":"1.0","canonical_sha256":"5eb6cddfa21ed4c8d842d789b11c37b423e03fa78c879cc701a947a85eba0d1d","source":{"kind":"arxiv","id":"1906.03845","version":1},"attestation_state":"computed","paper":{"title":"Genus zero PALF structures on the Akbulut-Yasui plugs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Takuya Ukida","submitted_at":"2019-06-10T08:50:13Z","abstract_excerpt":"We construct a genus zero PALF structure on each of plugs introduced by Akbulut and Yasui and describe the monodromy as a positive factorization in the mapping class group of a fiber. We also examine the monodromies of PALFs on a certain pair of compact Stein surfaces such that one is obtained by applying a plug twist to the other."},"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":"1906.03845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-06-10T08:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"fed96a44f8cb194e000bd49519c79a7440b188a6a6f7639d42bd575ac49d08df","abstract_canon_sha256":"a0132e1d6af67602fa1a2f11aa9078abc74cbcfe97e9a11afcd1b8018415f9ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:44.768206Z","signature_b64":"FG5CKmWRFk6vh5VDRIbfdrt4kzbj5Zx9ffhJr0G/nG7eIrPH4zUyi0lPHtCR9DnDlw4yRjj315PrcWXbecCqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eb6cddfa21ed4c8d842d789b11c37b423e03fa78c879cc701a947a85eba0d1d","last_reissued_at":"2026-05-17T23:43:44.767494Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:44.767494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Genus zero PALF structures on the Akbulut-Yasui plugs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Takuya Ukida","submitted_at":"2019-06-10T08:50:13Z","abstract_excerpt":"We construct a genus zero PALF structure on each of plugs introduced by Akbulut and Yasui and describe the monodromy as a positive factorization in the mapping class group of a fiber. We also examine the monodromies of PALFs on a certain pair of compact Stein surfaces such that one is obtained by applying a plug twist to the other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03845","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":"1906.03845","created_at":"2026-05-17T23:43:44.767621+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.03845v1","created_at":"2026-05-17T23:43:44.767621+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.03845","created_at":"2026-05-17T23:43:44.767621+00:00"},{"alias_kind":"pith_short_12","alias_value":"L23M3X5CD3KM","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"L23M3X5CD3KMRWCC","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"L23M3X5C","created_at":"2026-05-18T12:33:21.387695+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/L23M3X5CD3KMRWCC26E3CHBXWQ","json":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ.json","graph_json":"https://pith.science/api/pith-number/L23M3X5CD3KMRWCC26E3CHBXWQ/graph.json","events_json":"https://pith.science/api/pith-number/L23M3X5CD3KMRWCC26E3CHBXWQ/events.json","paper":"https://pith.science/paper/L23M3X5C"},"agent_actions":{"view_html":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ","download_json":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ.json","view_paper":"https://pith.science/paper/L23M3X5C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.03845&json=true","fetch_graph":"https://pith.science/api/pith-number/L23M3X5CD3KMRWCC26E3CHBXWQ/graph.json","fetch_events":"https://pith.science/api/pith-number/L23M3X5CD3KMRWCC26E3CHBXWQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ/action/storage_attestation","attest_author":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ/action/author_attestation","sign_citation":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ/action/citation_signature","submit_replication":"https://pith.science/pith/L23M3X5CD3KMRWCC26E3CHBXWQ/action/replication_record"}},"created_at":"2026-05-17T23:43:44.767621+00:00","updated_at":"2026-05-17T23:43:44.767621+00:00"}