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We show that $L_{\\kappa_3}[T_2] \\cap V_{u_{\\omega}} = M_{1,\\infty} | u_{\\omega}$."},"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":"1705.10725","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2017-05-30T16:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"c8efcf78aa302899ef9cc18e6ac272035333f6b2bf99a1ef541dd7d6f055c070","abstract_canon_sha256":"63868413fba36e2d8070934da4fb0f0e5b92740c6316a629a6a1d7c54dd24208"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:36.626252Z","signature_b64":"PDITocJ1Dkw9QzT4OXRar/BBvLjFGz/U2g6waRacN8IOAtyDdiSWbox6iM8dFe/37v1VY9VDj9dkU0cBwFZYCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fce8051c003b9a526642112c41fa8d4f18d51da7de0cc7af9685bfc76c346fd1","last_reissued_at":"2026-05-18T00:09:36.625775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:36.625775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterates of $M_1$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Yizheng Zhu","submitted_at":"2017-05-30T16:23:15Z","abstract_excerpt":"Assume $\\boldsymbol{\\Delta}^1_{2}$-determinacy. 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We show that $L_{\\kappa_3}[T_2] \\cap V_{u_{\\omega}} = M_{1,\\infty} | u_{\\omega}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10725","kind":"arxiv","version":3},"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":"1705.10725","created_at":"2026-05-18T00:09:36.625852+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.10725v3","created_at":"2026-05-18T00:09:36.625852+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10725","created_at":"2026-05-18T00:09:36.625852+00:00"},{"alias_kind":"pith_short_12","alias_value":"7TUAKHAAHONF","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7TUAKHAAHONFEZSC","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7TUAKHAA","created_at":"2026-05-18T12:31:05.417338+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/7TUAKHAAHONFEZSCCEWED6UNJ4","json":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4.json","graph_json":"https://pith.science/api/pith-number/7TUAKHAAHONFEZSCCEWED6UNJ4/graph.json","events_json":"https://pith.science/api/pith-number/7TUAKHAAHONFEZSCCEWED6UNJ4/events.json","paper":"https://pith.science/paper/7TUAKHAA"},"agent_actions":{"view_html":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4","download_json":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4.json","view_paper":"https://pith.science/paper/7TUAKHAA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.10725&json=true","fetch_graph":"https://pith.science/api/pith-number/7TUAKHAAHONFEZSCCEWED6UNJ4/graph.json","fetch_events":"https://pith.science/api/pith-number/7TUAKHAAHONFEZSCCEWED6UNJ4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4/action/storage_attestation","attest_author":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4/action/author_attestation","sign_citation":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4/action/citation_signature","submit_replication":"https://pith.science/pith/7TUAKHAAHONFEZSCCEWED6UNJ4/action/replication_record"}},"created_at":"2026-05-18T00:09:36.625852+00:00","updated_at":"2026-05-18T00:09:36.625852+00:00"}