{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:HK5OYYRF7J3PVFLLUWP2TOOMFO","short_pith_number":"pith:HK5OYYRF","schema_version":"1.0","canonical_sha256":"3abaec6225fa76fa956ba59fa9b9cc2bb18ef7598fd23da74d6c1d7697b9816f","source":{"kind":"arxiv","id":"math/9711222","version":1},"attestation_state":"computed","paper":{"title":"After all, there are some inequalities which are provable in ZFC","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Andrzej Ros{\\l}anowski, Saharon Shelah, Tomek Bartoszy\\'nski","submitted_at":"1997-11-15T00:00:00Z","abstract_excerpt":"We address ZFC inequalities between some cardinal invariants of the continuum, which turned to be true in spite of strong expectations given by [RoSh:470]."},"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":"math/9711222","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.LO","submitted_at":"1997-11-15T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"fd6f9a497ec7b9746700d6e9cb9804f057dd6f2b21d517bc55702e0504f8eeaf","abstract_canon_sha256":"d3d601e081f7ebda83be75b67dd2cdb6047458fea8b0a13edb878b494c301226"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:27.234051Z","signature_b64":"EkHxJsmQ4623NHBus4VqxJ2aF9Y7yf/CHjz8PTgYLkNASlpLGWTunVggNSxRDPJGDQGfDzML2e5Q3AW4MZXWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3abaec6225fa76fa956ba59fa9b9cc2bb18ef7598fd23da74d6c1d7697b9816f","last_reissued_at":"2026-05-18T03:37:27.233600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:27.233600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"After all, there are some inequalities which are provable in ZFC","license":"","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Andrzej Ros{\\l}anowski, Saharon Shelah, Tomek Bartoszy\\'nski","submitted_at":"1997-11-15T00:00:00Z","abstract_excerpt":"We address ZFC inequalities between some cardinal invariants of the continuum, which turned to be true in spite of strong expectations given by [RoSh:470]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9711222","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":"math/9711222","created_at":"2026-05-18T03:37:27.233668+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9711222v1","created_at":"2026-05-18T03:37:27.233668+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9711222","created_at":"2026-05-18T03:37:27.233668+00:00"},{"alias_kind":"pith_short_12","alias_value":"HK5OYYRF7J3P","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"HK5OYYRF7J3PVFLL","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"HK5OYYRF","created_at":"2026-05-18T12:25:48.327863+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/HK5OYYRF7J3PVFLLUWP2TOOMFO","json":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO.json","graph_json":"https://pith.science/api/pith-number/HK5OYYRF7J3PVFLLUWP2TOOMFO/graph.json","events_json":"https://pith.science/api/pith-number/HK5OYYRF7J3PVFLLUWP2TOOMFO/events.json","paper":"https://pith.science/paper/HK5OYYRF"},"agent_actions":{"view_html":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO","download_json":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO.json","view_paper":"https://pith.science/paper/HK5OYYRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9711222&json=true","fetch_graph":"https://pith.science/api/pith-number/HK5OYYRF7J3PVFLLUWP2TOOMFO/graph.json","fetch_events":"https://pith.science/api/pith-number/HK5OYYRF7J3PVFLLUWP2TOOMFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO/action/storage_attestation","attest_author":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO/action/author_attestation","sign_citation":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO/action/citation_signature","submit_replication":"https://pith.science/pith/HK5OYYRF7J3PVFLLUWP2TOOMFO/action/replication_record"}},"created_at":"2026-05-18T03:37:27.233668+00:00","updated_at":"2026-05-18T03:37:27.233668+00:00"}