{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LUOKCBBSRHAQZVJU2YM445FACW","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":"ba3d28906208155e89f48e45ab83a896afc03304d7f8a250ef4f69ce7b807cf4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-08-01T18:36:50Z","title_canon_sha256":"20c840febef820372618900a4f6e26ca04cbcc420161f49b1fa2b482573d2eb7"},"schema_version":"1.0","source":{"id":"1608.00518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00518","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00518v1","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00518","created_at":"2026-05-18T01:10:11Z"},{"alias_kind":"pith_short_12","alias_value":"LUOKCBBSRHAQ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LUOKCBBSRHAQZVJU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LUOKCBBS","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:2fd528c57abe265dadd90ee1187c6bddbf0202c83f0d01bbc4ab92153a59a9d7","target":"graph","created_at":"2026-05-18T01:10:11Z","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":"The extender based Magidor-Radin forcing is being generalized to supercompact type extenders.","authors_text":"Carmi Merimovich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-08-01T18:36:50Z","title":"Supercompact Extender Based Magidor-Radin Forcing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00518","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":"sha256:8b2aa0252c8b565cfd7096bbdd31446138070ecd761c21463790e6f17dc67c16","target":"record","created_at":"2026-05-18T01:10:11Z","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":"ba3d28906208155e89f48e45ab83a896afc03304d7f8a250ef4f69ce7b807cf4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-08-01T18:36:50Z","title_canon_sha256":"20c840febef820372618900a4f6e26ca04cbcc420161f49b1fa2b482573d2eb7"},"schema_version":"1.0","source":{"id":"1608.00518","kind":"arxiv","version":1}},"canonical_sha256":"5d1ca1043289c10cd534d619ce74a0159de282a63c4bcaa5694baf8b4695ec0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d1ca1043289c10cd534d619ce74a0159de282a63c4bcaa5694baf8b4695ec0b","first_computed_at":"2026-05-18T01:10:11.629092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:11.629092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cJ76QTtHVTy0/nK8m+PGuudOYbex8PrlXOivLYwWafDMTAfQNeonZURQ9fStyAX4bLvTaOX3w4eMYn/VjyF1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:11.629677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2aa0252c8b565cfd7096bbdd31446138070ecd761c21463790e6f17dc67c16","sha256:2fd528c57abe265dadd90ee1187c6bddbf0202c83f0d01bbc4ab92153a59a9d7"],"state_sha256":"9fd94e1f84debf6fc3b677eb4e98b619f172bb72b2e1ee76e3df4540c2cb2f94"}