{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OCF56ZH43XFL7YDSJMTGSNOW7V","short_pith_number":"pith:OCF56ZH4","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"},"canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","source":{"kind":"arxiv","id":"1811.06402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06402","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06402v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06402","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"OCF56ZH43XFL","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OCF56ZH43XFL7YDS","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OCF56ZH4","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OCF56ZH43XFL7YDSJMTGSNOW7V","target":"record","payload":{"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"},"canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","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"},"source_kind":"arxiv","source_id":"1811.06402","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ZYlizVrGlYb2XUsoqezFzR0Tzd1OC1Vlf32B/zETeytHNKhcZhGeCAKcwT1agvN+e+ElRgRqKgxZ+7bGdpyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T02:29:37.526747Z"},"content_sha256":"bcad5d620e63f49550183cd41dd9231dee60e3434f5f83fb008cbf04744213fb","schema_version":"1.0","event_id":"sha256:bcad5d620e63f49550183cd41dd9231dee60e3434f5f83fb008cbf04744213fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OCF56ZH43XFL7YDSJMTGSNOW7V","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/SgoDh7M1/kO5gmra9uN1A4vHYFJDK4KGGEmqYmWs7askVf+tXDffERAgzJSi4xPuYPYWornalEQ9g5Hs7Z9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T02:29:37.527444Z"},"content_sha256":"61b98d9e74b8afb2daa0ac913c2c7f381bc31c264c46b1ea14b25db5d7177d21","schema_version":"1.0","event_id":"sha256:61b98d9e74b8afb2daa0ac913c2c7f381bc31c264c46b1ea14b25db5d7177d21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/bundle.json","state_url":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T02:29:37Z","links":{"resolver":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V","bundle":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/bundle.json","state":"https://pith.science/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCF56ZH43XFL7YDSJMTGSNOW7V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OCF56ZH43XFL7YDSJMTGSNOW7V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"16b3dd4c5a183490afa2a077f19ed04306c2e10d61434a7578b660ef01c2305e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-15T14:38:49Z","title_canon_sha256":"30172b9cf8a524b42dc437d45a88d788012854b3c269080f4327752790a68411"},"schema_version":"1.0","source":{"id":"1811.06402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06402","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06402v1","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06402","created_at":"2026-05-18T00:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"OCF56ZH43XFL","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OCF56ZH43XFL7YDS","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OCF56ZH4","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:61b98d9e74b8afb2daa0ac913c2c7f381bc31c264c46b1ea14b25db5d7177d21","target":"graph","created_at":"2026-05-18T00:00:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Hiroshi Sakai, Sean Cox","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-15T14:38:49Z","title":"A variant of Shelah's characterization of Strong Chang's Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06402","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bcad5d620e63f49550183cd41dd9231dee60e3434f5f83fb008cbf04744213fb","target":"record","created_at":"2026-05-18T00:00:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"16b3dd4c5a183490afa2a077f19ed04306c2e10d61434a7578b660ef01c2305e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2018-11-15T14:38:49Z","title_canon_sha256":"30172b9cf8a524b42dc437d45a88d788012854b3c269080f4327752790a68411"},"schema_version":"1.0","source":{"id":"1811.06402","kind":"arxiv","version":1}},"canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"708bdf64fcddcabfe0724b266935d6fd40034c47f3e7f11a1127b327b5a16b38","first_computed_at":"2026-05-18T00:00:37.788538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:37.788538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MOpx4vLpRu1SeMIm/4tCH+ZysOaGyfrgI9IN/sk+2k7uRZz704VnTj1PEsMu6kYa8msmafKZOaimyxs0e4R0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:37.789022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcad5d620e63f49550183cd41dd9231dee60e3434f5f83fb008cbf04744213fb","sha256:61b98d9e74b8afb2daa0ac913c2c7f381bc31c264c46b1ea14b25db5d7177d21"],"state_sha256":"85d2f82ea4d33f1d5744ea13875cd8d0d7e5aa55c5139252f0462cd7ba4a05ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ofHwj3iy3Wyi3pCxxfE6GXzroun5qepq4ZE24y6rj5dm1XljcOw+OYVJM0GjV9bzle/Nsfn683fJn/FStVvfBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T02:29:37.530919Z","bundle_sha256":"9198ea26199dda759bdb4688149308fdde1b6f064c8817357f50cb58fd725968"}}