{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SY6OSBTYOQC6STVTAOIQBJ2FJL","short_pith_number":"pith:SY6OSBTY","schema_version":"1.0","canonical_sha256":"963ce906787405e94eb3039100a7454ac035c8e9df7461e7658bb2513c4639d5","source":{"kind":"arxiv","id":"1103.0350","version":2},"attestation_state":"computed","paper":{"title":"A strong polarized relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Saharon Shelah, Shimon Garti","submitted_at":"2011-03-02T05:42:39Z","abstract_excerpt":"We prove the consistency of a strong polarized relation for a cardinal and its successor, using pcf and forcing"},"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":"1103.0350","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-03-02T05:42:39Z","cross_cats_sorted":[],"title_canon_sha256":"1f534298613f11ca3c450c6efbdb5972a2273ce331f8ba3bdd8accbd1f3c4526","abstract_canon_sha256":"24e4a39496e990aa08a8406a22c1c6ed76b4ff0db1919f62363080ff59baed25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:36.070435Z","signature_b64":"uT9uXSqp9ICdJ7aNJMdFuCsuiG+stMF1CEfgC7VXOI6K0D1k0OsKMuFxwqB69gpsy700SbFaN3/tXSTXDqylBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"963ce906787405e94eb3039100a7454ac035c8e9df7461e7658bb2513c4639d5","last_reissued_at":"2026-05-18T00:17:36.069775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:36.069775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A strong polarized relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Saharon Shelah, Shimon Garti","submitted_at":"2011-03-02T05:42:39Z","abstract_excerpt":"We prove the consistency of a strong polarized relation for a cardinal and its successor, using pcf and forcing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0350","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":"1103.0350","created_at":"2026-05-18T00:17:36.069863+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.0350v2","created_at":"2026-05-18T00:17:36.069863+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0350","created_at":"2026-05-18T00:17:36.069863+00:00"},{"alias_kind":"pith_short_12","alias_value":"SY6OSBTYOQC6","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SY6OSBTYOQC6STVT","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SY6OSBTY","created_at":"2026-05-18T12:26:41.206345+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/SY6OSBTYOQC6STVTAOIQBJ2FJL","json":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL.json","graph_json":"https://pith.science/api/pith-number/SY6OSBTYOQC6STVTAOIQBJ2FJL/graph.json","events_json":"https://pith.science/api/pith-number/SY6OSBTYOQC6STVTAOIQBJ2FJL/events.json","paper":"https://pith.science/paper/SY6OSBTY"},"agent_actions":{"view_html":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL","download_json":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL.json","view_paper":"https://pith.science/paper/SY6OSBTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.0350&json=true","fetch_graph":"https://pith.science/api/pith-number/SY6OSBTYOQC6STVTAOIQBJ2FJL/graph.json","fetch_events":"https://pith.science/api/pith-number/SY6OSBTYOQC6STVTAOIQBJ2FJL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL/action/storage_attestation","attest_author":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL/action/author_attestation","sign_citation":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL/action/citation_signature","submit_replication":"https://pith.science/pith/SY6OSBTYOQC6STVTAOIQBJ2FJL/action/replication_record"}},"created_at":"2026-05-18T00:17:36.069863+00:00","updated_at":"2026-05-18T00:17:36.069863+00:00"}