{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:IBPCQ7I4FTZDULVPDP52WWPPJ6","short_pith_number":"pith:IBPCQ7I4","schema_version":"1.0","canonical_sha256":"405e287d1c2cf23a2eaf1bfbab59ef4f9be92bd77e97e89260e4907b59525c1b","source":{"kind":"arxiv","id":"1109.4088","version":3},"attestation_state":"computed","paper":{"title":"On the Topologies on ind-Varieties and related Irreducibility Questions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Immanuel Stampfli","submitted_at":"2011-09-19T16:46:11Z","abstract_excerpt":"In the literature there are two ways of endowing an affine ind-variety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of affine ind-varieties where these two topologies differ. We give an example of an affine ind-variety that is reducible with respect to Shafarevich's topology, but irreducible with respect to Kambayashi's topology. Moreover, we give a counter-example of a supposed irreducibility criterion of Shafarevich which is different from a counter-example given by Homma. We finish the paper with an irreducibility"},"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":"1109.4088","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-19T16:46:11Z","cross_cats_sorted":[],"title_canon_sha256":"7647137fe47678c04e279b5fb8d1ac661a6e607cecea144d6a62f9f83948246d","abstract_canon_sha256":"4bdb430e2f25f1cc18c9b045f99eea0b447e13205df6744002b6a462ef6fc754"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:05.199161Z","signature_b64":"Ti+KQcS9J/ij6XpU/edr2LGJaEEg49FgxMvDQYsT7rgV+adoL0oIuOjxAmyheThTqHqGkTVMD4RmbOuVWz/jDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"405e287d1c2cf23a2eaf1bfbab59ef4f9be92bd77e97e89260e4907b59525c1b","last_reissued_at":"2026-05-18T00:57:05.198474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:05.198474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Topologies on ind-Varieties and related Irreducibility Questions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Immanuel Stampfli","submitted_at":"2011-09-19T16:46:11Z","abstract_excerpt":"In the literature there are two ways of endowing an affine ind-variety with a topology. One possibility is due to Shafarevich and the other to Kambayashi. In this paper we specify a large class of affine ind-varieties where these two topologies differ. We give an example of an affine ind-variety that is reducible with respect to Shafarevich's topology, but irreducible with respect to Kambayashi's topology. Moreover, we give a counter-example of a supposed irreducibility criterion of Shafarevich which is different from a counter-example given by Homma. We finish the paper with an irreducibility"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4088","kind":"arxiv","version":3},"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":"1109.4088","created_at":"2026-05-18T00:57:05.198597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.4088v3","created_at":"2026-05-18T00:57:05.198597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4088","created_at":"2026-05-18T00:57:05.198597+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBPCQ7I4FTZD","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBPCQ7I4FTZDULVP","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBPCQ7I4","created_at":"2026-05-18T12:26:30.835961+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/IBPCQ7I4FTZDULVPDP52WWPPJ6","json":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6.json","graph_json":"https://pith.science/api/pith-number/IBPCQ7I4FTZDULVPDP52WWPPJ6/graph.json","events_json":"https://pith.science/api/pith-number/IBPCQ7I4FTZDULVPDP52WWPPJ6/events.json","paper":"https://pith.science/paper/IBPCQ7I4"},"agent_actions":{"view_html":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6","download_json":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6.json","view_paper":"https://pith.science/paper/IBPCQ7I4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.4088&json=true","fetch_graph":"https://pith.science/api/pith-number/IBPCQ7I4FTZDULVPDP52WWPPJ6/graph.json","fetch_events":"https://pith.science/api/pith-number/IBPCQ7I4FTZDULVPDP52WWPPJ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6/action/storage_attestation","attest_author":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6/action/author_attestation","sign_citation":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6/action/citation_signature","submit_replication":"https://pith.science/pith/IBPCQ7I4FTZDULVPDP52WWPPJ6/action/replication_record"}},"created_at":"2026-05-18T00:57:05.198597+00:00","updated_at":"2026-05-18T00:57:05.198597+00:00"}