{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3XVPHX4AMO6O6BQTQK325FEPBS","short_pith_number":"pith:3XVPHX4A","schema_version":"1.0","canonical_sha256":"ddeaf3df8063bcef061382b7ae948f0c9ee04ead72eb0065a13a9ceb099c0a9d","source":{"kind":"arxiv","id":"1104.2744","version":2},"attestation_state":"computed","paper":{"title":"Non-deterministic inductive definitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Benno van den Berg","submitted_at":"2011-04-14T12:47:18Z","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."},"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":"1104.2744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-14T12:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"22241def6a494e79481b83ae979cc28aa06b21f1d39fe7d310dbea8d845737c2","abstract_canon_sha256":"93b604fb6108688827fd8b3541fa6d6c971c9d4d5bf3e468f96077cfb2051006"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:40.243503Z","signature_b64":"Bmi4DJZbOds4nolaHwbe/c4Tb1Cu1S32lm6H4RZidTfZ0qfw14W34Tid7JMx1PBSJrzCsplwpgEn/qYa7eTZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddeaf3df8063bcef061382b7ae948f0c9ee04ead72eb0065a13a9ceb099c0a9d","last_reissued_at":"2026-05-18T03:45:40.242833Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:40.242833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-deterministic inductive definitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Benno van den Berg","submitted_at":"2011-04-14T12:47:18Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2744","kind":"arxiv","version":2},"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":"1104.2744","created_at":"2026-05-18T03:45:40.242946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.2744v2","created_at":"2026-05-18T03:45:40.242946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2744","created_at":"2026-05-18T03:45:40.242946+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XVPHX4AMO6O","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XVPHX4AMO6O6BQT","created_at":"2026-05-18T12:26:20.644004+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XVPHX4A","created_at":"2026-05-18T12:26:20.644004+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/3XVPHX4AMO6O6BQTQK325FEPBS","json":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS.json","graph_json":"https://pith.science/api/pith-number/3XVPHX4AMO6O6BQTQK325FEPBS/graph.json","events_json":"https://pith.science/api/pith-number/3XVPHX4AMO6O6BQTQK325FEPBS/events.json","paper":"https://pith.science/paper/3XVPHX4A"},"agent_actions":{"view_html":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS","download_json":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS.json","view_paper":"https://pith.science/paper/3XVPHX4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.2744&json=true","fetch_graph":"https://pith.science/api/pith-number/3XVPHX4AMO6O6BQTQK325FEPBS/graph.json","fetch_events":"https://pith.science/api/pith-number/3XVPHX4AMO6O6BQTQK325FEPBS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS/action/storage_attestation","attest_author":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS/action/author_attestation","sign_citation":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS/action/citation_signature","submit_replication":"https://pith.science/pith/3XVPHX4AMO6O6BQTQK325FEPBS/action/replication_record"}},"created_at":"2026-05-18T03:45:40.242946+00:00","updated_at":"2026-05-18T03:45:40.242946+00:00"}