{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SGKLO56XVTCGE5GKVQMVAR73EW","short_pith_number":"pith:SGKLO56X","schema_version":"1.0","canonical_sha256":"9194b777d7acc46274caac195047fb25940e4d927df95a0057a10a4fd3059b5d","source":{"kind":"arxiv","id":"1506.07634","version":1},"attestation_state":"computed","paper":{"title":"Singular cofinality conjecture and a question of Gorelic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Mohammad Golshani","submitted_at":"2015-06-25T06:52:02Z","abstract_excerpt":"We give an affirmative answer to a question of Gorelic \\cite{Gorelic}, by showing it is consistent, relative to the existence of large cardinals, that there is a proper class of cardinals $\\alpha$ with $cf(\\alpha)=\\omega_1$ and $\\alpha^\\omega > \\alpha.$"},"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":"1506.07634","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2015-06-25T06:52:02Z","cross_cats_sorted":[],"title_canon_sha256":"c87424569f2abb6ba9d5faa5c99de161b0dfd2d84910cf6029f974da3ba2e049","abstract_canon_sha256":"dd6019302b50fc255db64d0082f2c90dd8bba317e9212b83e4141c9e21a5adaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:51.271618Z","signature_b64":"MZhu18g2vyeHGPbherLeFczewqJ2ZMGDVA9HH7PfbDQzNKct2DiZwRz3IuTKBFr4pkxw+ExSY1kCUP49/kd/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9194b777d7acc46274caac195047fb25940e4d927df95a0057a10a4fd3059b5d","last_reissued_at":"2026-05-18T01:38:51.270994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:51.270994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular cofinality conjecture and a question of Gorelic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Mohammad Golshani","submitted_at":"2015-06-25T06:52:02Z","abstract_excerpt":"We give an affirmative answer to a question of Gorelic \\cite{Gorelic}, by showing it is consistent, relative to the existence of large cardinals, that there is a proper class of cardinals $\\alpha$ with $cf(\\alpha)=\\omega_1$ and $\\alpha^\\omega > \\alpha.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07634","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":"1506.07634","created_at":"2026-05-18T01:38:51.271081+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07634v1","created_at":"2026-05-18T01:38:51.271081+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07634","created_at":"2026-05-18T01:38:51.271081+00:00"},{"alias_kind":"pith_short_12","alias_value":"SGKLO56XVTCG","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SGKLO56XVTCGE5GK","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SGKLO56X","created_at":"2026-05-18T12:29:42.218222+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/SGKLO56XVTCGE5GKVQMVAR73EW","json":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW.json","graph_json":"https://pith.science/api/pith-number/SGKLO56XVTCGE5GKVQMVAR73EW/graph.json","events_json":"https://pith.science/api/pith-number/SGKLO56XVTCGE5GKVQMVAR73EW/events.json","paper":"https://pith.science/paper/SGKLO56X"},"agent_actions":{"view_html":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW","download_json":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW.json","view_paper":"https://pith.science/paper/SGKLO56X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07634&json=true","fetch_graph":"https://pith.science/api/pith-number/SGKLO56XVTCGE5GKVQMVAR73EW/graph.json","fetch_events":"https://pith.science/api/pith-number/SGKLO56XVTCGE5GKVQMVAR73EW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW/action/storage_attestation","attest_author":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW/action/author_attestation","sign_citation":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW/action/citation_signature","submit_replication":"https://pith.science/pith/SGKLO56XVTCGE5GKVQMVAR73EW/action/replication_record"}},"created_at":"2026-05-18T01:38:51.271081+00:00","updated_at":"2026-05-18T01:38:51.271081+00:00"}