{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:AZPRRN5J3BOOEN7TJ3KUCA7C23","short_pith_number":"pith:AZPRRN5J","schema_version":"1.0","canonical_sha256":"065f18b7a9d85ce237f34ed54103e2d6eca267a8144e80bd2acfec8958eedf2a","source":{"kind":"arxiv","id":"1603.05214","version":1},"attestation_state":"computed","paper":{"title":"Guard Your Daggers and Traces: Properties of Guarded (Co-)recursion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Stefan Milius, Tadeusz Litak","submitted_at":"2016-03-16T18:39:53Z","abstract_excerpt":"Motivated by the recent interest in models of guarded (co-)recursion, we study their equational properties. We formulate axioms for guarded fixpoint operators generalizing the axioms of iteration theories of Bloom and \\'Esik. Models of these axioms include both standard (e.g., cpo-based) models of iteration theories and models of guarded recursion such as complete metric spaces or the topos of trees studied by Birkedal et al. We show that the standard result on the satisfaction of all Conway axioms by a unique dagger operation generalizes to the guarded setting. We also introduce the notion of"},"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":"1603.05214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-03-16T18:39:53Z","cross_cats_sorted":[],"title_canon_sha256":"d5d9c2a9e0e1b2310f32a983e7de9e95246ef7f455526add877799ded5fcb87a","abstract_canon_sha256":"aed1f55c45ca94bab048e63f1b8462b1f274bec900caa2527b0287c041e3b184"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:51.165189Z","signature_b64":"1iQkFzhGmT3padoCPwT4dJzNXBXlGGjVC4kXwNl3BhE1efmUnQ77jsNAKg3fOiN0/bkEC438Fc4jNiRxE53oBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"065f18b7a9d85ce237f34ed54103e2d6eca267a8144e80bd2acfec8958eedf2a","last_reissued_at":"2026-05-18T00:07:51.164621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:51.164621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Guard Your Daggers and Traces: Properties of Guarded (Co-)recursion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Stefan Milius, Tadeusz Litak","submitted_at":"2016-03-16T18:39:53Z","abstract_excerpt":"Motivated by the recent interest in models of guarded (co-)recursion, we study their equational properties. We formulate axioms for guarded fixpoint operators generalizing the axioms of iteration theories of Bloom and \\'Esik. Models of these axioms include both standard (e.g., cpo-based) models of iteration theories and models of guarded recursion such as complete metric spaces or the topos of trees studied by Birkedal et al. We show that the standard result on the satisfaction of all Conway axioms by a unique dagger operation generalizes to the guarded setting. We also introduce the notion of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05214","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.05214","created_at":"2026-05-18T00:07:51.164721+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05214v1","created_at":"2026-05-18T00:07:51.164721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05214","created_at":"2026-05-18T00:07:51.164721+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZPRRN5J3BOO","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZPRRN5J3BOOEN7T","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZPRRN5J","created_at":"2026-05-18T12:30:07.202191+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/AZPRRN5J3BOOEN7TJ3KUCA7C23","json":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23.json","graph_json":"https://pith.science/api/pith-number/AZPRRN5J3BOOEN7TJ3KUCA7C23/graph.json","events_json":"https://pith.science/api/pith-number/AZPRRN5J3BOOEN7TJ3KUCA7C23/events.json","paper":"https://pith.science/paper/AZPRRN5J"},"agent_actions":{"view_html":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23","download_json":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23.json","view_paper":"https://pith.science/paper/AZPRRN5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05214&json=true","fetch_graph":"https://pith.science/api/pith-number/AZPRRN5J3BOOEN7TJ3KUCA7C23/graph.json","fetch_events":"https://pith.science/api/pith-number/AZPRRN5J3BOOEN7TJ3KUCA7C23/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23/action/storage_attestation","attest_author":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23/action/author_attestation","sign_citation":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23/action/citation_signature","submit_replication":"https://pith.science/pith/AZPRRN5J3BOOEN7TJ3KUCA7C23/action/replication_record"}},"created_at":"2026-05-18T00:07:51.164721+00:00","updated_at":"2026-05-18T00:07:51.164721+00:00"}