{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ERWMDPRBGYT6R6MWUKGDDA2OHG","short_pith_number":"pith:ERWMDPRB","schema_version":"1.0","canonical_sha256":"246cc1be213627e8f996a28c31834e39974c48234e64841b29ee2110eb5ea8c2","source":{"kind":"arxiv","id":"1905.02718","version":2},"attestation_state":"computed","paper":{"title":"A Theory of Particular Sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Paul Blain Levy","submitted_at":"2019-05-07T17:59:51Z","abstract_excerpt":"ZFC has sentences that quantify over all sets or all ordinals, without restriction. Some have argued that sentences of this kind lack a determinate meaning. We propose a set theory called TOPS, using Natural Deduction, that avoids this problem by speaking only about particular sets."},"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":"1905.02718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2019-05-07T17:59:51Z","cross_cats_sorted":[],"title_canon_sha256":"04e4d95ffea6aeff969168a7c37df3a263a688f52c62ea2e6c79ba560ba29fda","abstract_canon_sha256":"b2da30b2dda95932aa4ba15a631e302c1c076d412a8faa2e52801d6314c44a6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:27.621835Z","signature_b64":"tbnnPfetT9WmnZ8Abk1uoSbkb+ndcQSxksKaVuIjYsTYwsj5h+6n4Ima0rqCjF6gJ9w5EZq8hiMSeLOmZaYmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"246cc1be213627e8f996a28c31834e39974c48234e64841b29ee2110eb5ea8c2","last_reissued_at":"2026-05-17T23:43:27.621402Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:27.621402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Theory of Particular Sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Paul Blain Levy","submitted_at":"2019-05-07T17:59:51Z","abstract_excerpt":"ZFC has sentences that quantify over all sets or all ordinals, without restriction. Some have argued that sentences of this kind lack a determinate meaning. We propose a set theory called TOPS, using Natural Deduction, that avoids this problem by speaking only about particular sets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.02718","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1905.02718","created_at":"2026-05-17T23:43:27.621465+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.02718v2","created_at":"2026-05-17T23:43:27.621465+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.02718","created_at":"2026-05-17T23:43:27.621465+00:00"},{"alias_kind":"pith_short_12","alias_value":"ERWMDPRBGYT6","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"ERWMDPRBGYT6R6MW","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"ERWMDPRB","created_at":"2026-05-18T12:33:15.570797+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/ERWMDPRBGYT6R6MWUKGDDA2OHG","json":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG.json","graph_json":"https://pith.science/api/pith-number/ERWMDPRBGYT6R6MWUKGDDA2OHG/graph.json","events_json":"https://pith.science/api/pith-number/ERWMDPRBGYT6R6MWUKGDDA2OHG/events.json","paper":"https://pith.science/paper/ERWMDPRB"},"agent_actions":{"view_html":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG","download_json":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG.json","view_paper":"https://pith.science/paper/ERWMDPRB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.02718&json=true","fetch_graph":"https://pith.science/api/pith-number/ERWMDPRBGYT6R6MWUKGDDA2OHG/graph.json","fetch_events":"https://pith.science/api/pith-number/ERWMDPRBGYT6R6MWUKGDDA2OHG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG/action/storage_attestation","attest_author":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG/action/author_attestation","sign_citation":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG/action/citation_signature","submit_replication":"https://pith.science/pith/ERWMDPRBGYT6R6MWUKGDDA2OHG/action/replication_record"}},"created_at":"2026-05-17T23:43:27.621465+00:00","updated_at":"2026-05-17T23:43:27.621465+00:00"}