{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3XVPHX4AMO6O6BQTQK325FEPBS","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":"93b604fb6108688827fd8b3541fa6d6c971c9d4d5bf3e468f96077cfb2051006","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-14T12:47:18Z","title_canon_sha256":"22241def6a494e79481b83ae979cc28aa06b21f1d39fe7d310dbea8d845737c2"},"schema_version":"1.0","source":{"id":"1104.2744","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2744","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2744v2","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2744","created_at":"2026-05-18T03:45:40Z"},{"alias_kind":"pith_short_12","alias_value":"3XVPHX4AMO6O","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"3XVPHX4AMO6O6BQT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"3XVPHX4A","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:164d049373e2b28144c393db279440ddaafdd8983032d9298fcd9de80999e285","target":"graph","created_at":"2026-05-18T03:45:40Z","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":"We study a new proof principle in the context of constructive Zermelo-Fraenkel set theory based on what we will call \"non-deterministic inductive definitions\". We give applications to formal topology as well as a predicative justification of this principle.","authors_text":"Benno van den Berg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-14T12:47:18Z","title":"Non-deterministic inductive definitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2744","kind":"arxiv","version":2},"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:bfbbc763a8966c25767ffbc17464149f44b3e55fbc69c18d256de8ef95a5cc50","target":"record","created_at":"2026-05-18T03:45:40Z","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":"93b604fb6108688827fd8b3541fa6d6c971c9d4d5bf3e468f96077cfb2051006","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-14T12:47:18Z","title_canon_sha256":"22241def6a494e79481b83ae979cc28aa06b21f1d39fe7d310dbea8d845737c2"},"schema_version":"1.0","source":{"id":"1104.2744","kind":"arxiv","version":2}},"canonical_sha256":"ddeaf3df8063bcef061382b7ae948f0c9ee04ead72eb0065a13a9ceb099c0a9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddeaf3df8063bcef061382b7ae948f0c9ee04ead72eb0065a13a9ceb099c0a9d","first_computed_at":"2026-05-18T03:45:40.242833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:40.242833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bmi4DJZbOds4nolaHwbe/c4Tb1Cu1S32lm6H4RZidTfZ0qfw14W34Tid7JMx1PBSJrzCsplwpgEn/qYa7eTZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:40.243503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2744","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfbbc763a8966c25767ffbc17464149f44b3e55fbc69c18d256de8ef95a5cc50","sha256:164d049373e2b28144c393db279440ddaafdd8983032d9298fcd9de80999e285"],"state_sha256":"052e48117037b0726972fe07d3bd8388f5b26ed68b439a5bf3212e287c9459e1"}