{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:OCF56ZH43XFL7YDSJMTGSNOW7V","short_pith_number":"pith:OCF56ZH4","schema_version":"1.0","canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","source":{"kind":"arxiv","id":"1811.06402","version":1},"attestation_state":"computed","paper":{"title":"A variant of Shelah's characterization of Strong Chang's Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Hiroshi Sakai, Sean Cox","submitted_at":"2018-11-15T14:38:49Z","abstract_excerpt":"Shelah considered a certain version of Strong Chang's Conjecture, which we denote $\\text{SCC}^{\\text{cof}}$, and proved that it is equivalent to several statements, including the assertion that Namba forcing is semiproper. We introduce an apparently weaker version, denoted $\\text{SCC}^{\\text{split}}$, and prove an analogous characterization of it. In particular, $\\text{SCC}^{\\text{split}}$ is equivalent to the assertion that the the Friedman-Krueger poset is semiproper. This strengthens and sharpens the results of Cox, and sheds some light on problems from Usuba and Torres-Perez and Wu."},"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":"1811.06402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-15T14:38:49Z","cross_cats_sorted":[],"title_canon_sha256":"30172b9cf8a524b42dc437d45a88d788012854b3c269080f4327752790a68411","abstract_canon_sha256":"16b3dd4c5a183490afa2a077f19ed04306c2e10d61434a7578b660ef01c2305e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:37.789022Z","signature_b64":"MOpx4vLpRu1SeMIm/4tCH+ZysOaGyfrgI9IN/sk+2k7uRZz704VnTj1PEsMu6kYa8msmafKZOaimyxs0e4R0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","last_reissued_at":"2026-05-18T00:00:37.788538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:37.788538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A variant of Shelah's characterization of Strong Chang's Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Hiroshi Sakai, Sean Cox","submitted_at":"2018-11-15T14:38:49Z","abstract_excerpt":"Shelah considered a certain version of Strong Chang's Conjecture, which we denote $\\text{SCC}^{\\text{cof}}$, and proved that it is equivalent to several statements, including the assertion that Namba forcing is semiproper. We introduce an apparently weaker version, denoted $\\text{SCC}^{\\text{split}}$, and prove an analogous characterization of it. In particular, $\\text{SCC}^{\\text{split}}$ is equivalent to the assertion that the the Friedman-Krueger poset is semiproper. This strengthens and sharpens the results of Cox, and sheds some light on problems from Usuba and Torres-Perez and Wu."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06402","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":"1811.06402","created_at":"2026-05-18T00:00:37.788652+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.06402v1","created_at":"2026-05-18T00:00:37.788652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06402","created_at":"2026-05-18T00:00:37.788652+00:00"},{"alias_kind":"pith_short_12","alias_value":"OCF56ZH43XFL","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"OCF56ZH43XFL7YDS","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"OCF56ZH4","created_at":"2026-05-18T12:32:43.782077+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/OCF56ZH43XFL7YDSJMTGSNOW7V","json":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V.json","graph_json":"https://pith.science/api/pith-number/OCF56ZH43XFL7YDSJMTGSNOW7V/graph.json","events_json":"https://pith.science/api/pith-number/OCF56ZH43XFL7YDSJMTGSNOW7V/events.json","paper":"https://pith.science/paper/OCF56ZH4"},"agent_actions":{"view_html":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V","download_json":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V.json","view_paper":"https://pith.science/paper/OCF56ZH4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.06402&json=true","fetch_graph":"https://pith.science/api/pith-number/OCF56ZH43XFL7YDSJMTGSNOW7V/graph.json","fetch_events":"https://pith.science/api/pith-number/OCF56ZH43XFL7YDSJMTGSNOW7V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/action/storage_attestation","attest_author":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/action/author_attestation","sign_citation":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/action/citation_signature","submit_replication":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/action/replication_record"}},"created_at":"2026-05-18T00:00:37.788652+00:00","updated_at":"2026-05-18T00:00:37.788652+00:00"}