{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:A3L7ZSZM6L2HRLARSMCMZ27OVX","short_pith_number":"pith:A3L7ZSZM","canonical_record":{"source":{"id":"1801.09380","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-01-29T07:20:19Z","cross_cats_sorted":[],"title_canon_sha256":"a168a60d4edfcf50706390f40433b835df87893bb90a27f1e26ee066e2dad5a3","abstract_canon_sha256":"d3dff285297ed882338b9d204783071c7e8618bb3d8a3d7764f3de9696c3003c"},"schema_version":"1.0"},"canonical_sha256":"06d7fccb2cf2f478ac119304ccebeeadd4dbf3c029a022bb843386499dc07dbc","source":{"kind":"arxiv","id":"1801.09380","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09380","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09380v2","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09380","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"A3L7ZSZM6L2H","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A3L7ZSZM6L2HRLAR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A3L7ZSZM","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:A3L7ZSZM6L2HRLARSMCMZ27OVX","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09380","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-01-29T07:20:19Z","cross_cats_sorted":[],"title_canon_sha256":"a168a60d4edfcf50706390f40433b835df87893bb90a27f1e26ee066e2dad5a3","abstract_canon_sha256":"d3dff285297ed882338b9d204783071c7e8618bb3d8a3d7764f3de9696c3003c"},"schema_version":"1.0"},"canonical_sha256":"06d7fccb2cf2f478ac119304ccebeeadd4dbf3c029a022bb843386499dc07dbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:32.297677Z","signature_b64":"04/AebxC9kYxeQStMaEaeGcepDEc8mARrjv2Aqh6Bcp+fBIwHRJ94tTXYo+fiq4kdyOWpex/RyDrqHZ7591jAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06d7fccb2cf2f478ac119304ccebeeadd4dbf3c029a022bb843386499dc07dbc","last_reissued_at":"2026-05-17T23:57:32.297159Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:32.297159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09380","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CJNNhqkLhnH46eelpxGV4qnQH+b9bRfUSpqvYWbAFADJRixuVjjB2raMiHJLX4Y28OkD+JG60rkQ3m9UKBq3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:42:39.610692Z"},"content_sha256":"364585d8b2958554c9274b09670c652531aef37b3159feca8eb3c0e0e80618f4","schema_version":"1.0","event_id":"sha256:364585d8b2958554c9274b09670c652531aef37b3159feca8eb3c0e0e80618f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:A3L7ZSZM6L2HRLARSMCMZ27OVX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The impact of the Bohr topology on selective pseudocompactness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"Dmitri Shakhmatov, V\\'ictor Hugo Ya\\~nez","submitted_at":"2018-01-29T07:20:19Z","abstract_excerpt":"Recall that a space X is selectively pseudocompact if for every sequence (U_n) of non-empty open subsets of X one can choose a point x_n in U_n for all n such that the resulting sequence (x_n) has an accumulation point in X. This notion was introduced under the name strong pseudocompactness by Garc\\'ia-Ferreira and Ortiz-Castillo, the present name is due to Dorantes-Aldama and the first author. In 2015, Garc\\'ia-Ferreira and Tomita constructed a pseudocompact Boolean group that is not selectively pseudocompact. We prove that if the subgroup topology on every countable subgroup H of an infinite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09380","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:57:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ci/F4YNDIgKdfng3mKtieTZyzP1aD096LTXDaVJGLv4+E2GBes3TvBDxUUFfgCjTZXJY8lZxVmPKngKsuLSqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T09:42:39.611039Z"},"content_sha256":"b07d9e4b0fb121295c6641cd12d87367bcb36da416100c5403ad9ddef5a5a11f","schema_version":"1.0","event_id":"sha256:b07d9e4b0fb121295c6641cd12d87367bcb36da416100c5403ad9ddef5a5a11f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/bundle.json","state_url":"https://pith.science/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T09:42:39Z","links":{"resolver":"https://pith.science/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX","bundle":"https://pith.science/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/bundle.json","state":"https://pith.science/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3L7ZSZM6L2HRLARSMCMZ27OVX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:A3L7ZSZM6L2HRLARSMCMZ27OVX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d3dff285297ed882338b9d204783071c7e8618bb3d8a3d7764f3de9696c3003c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-01-29T07:20:19Z","title_canon_sha256":"a168a60d4edfcf50706390f40433b835df87893bb90a27f1e26ee066e2dad5a3"},"schema_version":"1.0","source":{"id":"1801.09380","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09380","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09380v2","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09380","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"A3L7ZSZM6L2H","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"A3L7ZSZM6L2HRLAR","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"A3L7ZSZM","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:b07d9e4b0fb121295c6641cd12d87367bcb36da416100c5403ad9ddef5a5a11f","target":"graph","created_at":"2026-05-17T23:57:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Recall that a space X is selectively pseudocompact if for every sequence (U_n) of non-empty open subsets of X one can choose a point x_n in U_n for all n such that the resulting sequence (x_n) has an accumulation point in X. This notion was introduced under the name strong pseudocompactness by Garc\\'ia-Ferreira and Ortiz-Castillo, the present name is due to Dorantes-Aldama and the first author. In 2015, Garc\\'ia-Ferreira and Tomita constructed a pseudocompact Boolean group that is not selectively pseudocompact. We prove that if the subgroup topology on every countable subgroup H of an infinite","authors_text":"Dmitri Shakhmatov, V\\'ictor Hugo Ya\\~nez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-01-29T07:20:19Z","title":"The impact of the Bohr topology on selective pseudocompactness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09380","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:364585d8b2958554c9274b09670c652531aef37b3159feca8eb3c0e0e80618f4","target":"record","created_at":"2026-05-17T23:57:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d3dff285297ed882338b9d204783071c7e8618bb3d8a3d7764f3de9696c3003c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2018-01-29T07:20:19Z","title_canon_sha256":"a168a60d4edfcf50706390f40433b835df87893bb90a27f1e26ee066e2dad5a3"},"schema_version":"1.0","source":{"id":"1801.09380","kind":"arxiv","version":2}},"canonical_sha256":"06d7fccb2cf2f478ac119304ccebeeadd4dbf3c029a022bb843386499dc07dbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06d7fccb2cf2f478ac119304ccebeeadd4dbf3c029a022bb843386499dc07dbc","first_computed_at":"2026-05-17T23:57:32.297159Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:32.297159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"04/AebxC9kYxeQStMaEaeGcepDEc8mARrjv2Aqh6Bcp+fBIwHRJ94tTXYo+fiq4kdyOWpex/RyDrqHZ7591jAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:32.297677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09380","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:364585d8b2958554c9274b09670c652531aef37b3159feca8eb3c0e0e80618f4","sha256:b07d9e4b0fb121295c6641cd12d87367bcb36da416100c5403ad9ddef5a5a11f"],"state_sha256":"1a131f77b991e8322ebea66dc9b07d9f9fa6851b8a8891582ef2b5fd37ccab8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cj6zgv4gbPRHyvMXMhgu+MuKlSLacAwgS2GtdFRG2hSGOxsmiyGh6aE1zKRYux6yGmvCDqHZ4GjNaGBLzzFnCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T09:42:39.612969Z","bundle_sha256":"edb927cc6841d25ba789ee3e3e34bde33a3148fffd43be6d6a3da95bfcb19ffa"}}