{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:5RWGYWPFLYNVGW3XTTLJ7YAWI6","short_pith_number":"pith:5RWGYWPF","schema_version":"1.0","canonical_sha256":"ec6c6c59e55e1b535b779cd69fe01647bbec5944114c08e57b9b5b0197fe3482","source":{"kind":"arxiv","id":"0808.1617","version":1},"attestation_state":"computed","paper":{"title":"Continuity Points of Typical Bounded Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Shingo Saito","submitted_at":"2008-08-12T08:44:09Z","abstract_excerpt":"Kostyrko and Salat showed that if a linear space of bounded functions has an element that is discontinuous almost everywhere, then a typical element in the space is discontinuous almost everywhere. We give a topological analogue of this theorem and provide some examples."},"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":"0808.1617","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2008-08-12T08:44:09Z","cross_cats_sorted":[],"title_canon_sha256":"c79df9b9b371b62e703935489423ffe6b86e3d422e78b746f16fa95018f799bf","abstract_canon_sha256":"84fa10fd832f901e1b0126c1b9b97f25c2b0f313eb78f32b933a2bbca5977604"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:03.814284Z","signature_b64":"gKDm8pj5YcanwRBfD1aPLiza64JzL2QJ44QqJmgAG+k/W+n3m/00Czt/6CxmGaH5yzXczFrNFhcAdFZTbcKpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec6c6c59e55e1b535b779cd69fe01647bbec5944114c08e57b9b5b0197fe3482","last_reissued_at":"2026-05-18T04:27:03.813604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:03.813604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Continuity Points of Typical Bounded Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Shingo Saito","submitted_at":"2008-08-12T08:44:09Z","abstract_excerpt":"Kostyrko and Salat showed that if a linear space of bounded functions has an element that is discontinuous almost everywhere, then a typical element in the space is discontinuous almost everywhere. We give a topological analogue of this theorem and provide some examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.1617","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":"0808.1617","created_at":"2026-05-18T04:27:03.813709+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.1617v1","created_at":"2026-05-18T04:27:03.813709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.1617","created_at":"2026-05-18T04:27:03.813709+00:00"},{"alias_kind":"pith_short_12","alias_value":"5RWGYWPFLYNV","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"5RWGYWPFLYNVGW3X","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"5RWGYWPF","created_at":"2026-05-18T12:25:56.245647+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/5RWGYWPFLYNVGW3XTTLJ7YAWI6","json":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6.json","graph_json":"https://pith.science/api/pith-number/5RWGYWPFLYNVGW3XTTLJ7YAWI6/graph.json","events_json":"https://pith.science/api/pith-number/5RWGYWPFLYNVGW3XTTLJ7YAWI6/events.json","paper":"https://pith.science/paper/5RWGYWPF"},"agent_actions":{"view_html":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6","download_json":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6.json","view_paper":"https://pith.science/paper/5RWGYWPF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.1617&json=true","fetch_graph":"https://pith.science/api/pith-number/5RWGYWPFLYNVGW3XTTLJ7YAWI6/graph.json","fetch_events":"https://pith.science/api/pith-number/5RWGYWPFLYNVGW3XTTLJ7YAWI6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6/action/storage_attestation","attest_author":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6/action/author_attestation","sign_citation":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6/action/citation_signature","submit_replication":"https://pith.science/pith/5RWGYWPFLYNVGW3XTTLJ7YAWI6/action/replication_record"}},"created_at":"2026-05-18T04:27:03.813709+00:00","updated_at":"2026-05-18T04:27:03.813709+00:00"}