{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7N2AAZG5I5ODGZY6VUO7ZCDUCS","short_pith_number":"pith:7N2AAZG5","canonical_record":{"source":{"id":"1403.7997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-03-31T13:59:06Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"73aaa85788e8cd54b861632b76c58a143c28b8ea9ac2ec870a455f0d29fa50a4","abstract_canon_sha256":"0b781f41ccb37766824caf410049928dff80330f193b582f19f2e461b030f152"},"schema_version":"1.0"},"canonical_sha256":"fb740064dd475c33671ead1dfc887414bf809d3102799a9c6770ff3a5e282e99","source":{"kind":"arxiv","id":"1403.7997","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7997","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7997v2","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7997","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"pith_short_12","alias_value":"7N2AAZG5I5OD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7N2AAZG5I5ODGZY6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7N2AAZG5","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7N2AAZG5I5ODGZY6VUO7ZCDUCS","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7997","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-03-31T13:59:06Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"73aaa85788e8cd54b861632b76c58a143c28b8ea9ac2ec870a455f0d29fa50a4","abstract_canon_sha256":"0b781f41ccb37766824caf410049928dff80330f193b582f19f2e461b030f152"},"schema_version":"1.0"},"canonical_sha256":"fb740064dd475c33671ead1dfc887414bf809d3102799a9c6770ff3a5e282e99","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:46.998873Z","signature_b64":"ohF7P57dURqgHfdLULZnLal8JR027rG4SGf8Qp/YmVxA2Wzeiou2GGyD+8EA/no97qEXyVJJmLOMC6g6gMXOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb740064dd475c33671ead1dfc887414bf809d3102799a9c6770ff3a5e282e99","last_reissued_at":"2026-05-18T01:11:46.998538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:46.998538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7997","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DkDNoJ5BbZ5My91vpPCaE5RL05EhvfUyLCWaUymZHBn5gKXQdbq5pq39J9z4evqbUYcI0rpIZ0rkJ8McodshCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:50:16.140610Z"},"content_sha256":"08058b1ca37cd1703c8368fbdeeb8448b44dd35ca8ced2cf3e9072d5cff24fed","schema_version":"1.0","event_id":"sha256:08058b1ca37cd1703c8368fbdeeb8448b44dd35ca8ced2cf3e9072d5cff24fed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7N2AAZG5I5ODGZY6VUO7ZCDUCS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A comparison of concepts from computable analysis and effective descriptive set theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"cs.LO","authors_text":"Arno Pauly, Tam\\'as Kisp\\'eter, Vassilios Gregoriades","submitted_at":"2014-03-31T13:59:06Z","abstract_excerpt":"Computable analysis and effective descriptive set theory are both concerned with complete metric spaces, functions between them and subsets thereof in an effective setting. The precise relationship of the various definitions used in the two disciplines has so far been neglected, a situation this paper is meant to remedy.\n  As the role of the Cauchy completion is relevant for both effective approaches to Polish spaces, we consider the interplay of effectivity and completion in some more detail."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7997","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPk69RackgV7yblH4fwu9uAqJA+GEA+Xjw1i4PRp7qT10inVSfR7h//1YLeynQVnasYGQ/RtrIaqnmZbOlEnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:50:16.141347Z"},"content_sha256":"5b382e9823b8d87202608e566318224f093fd98ef713e5f7115492e81b99ff59","schema_version":"1.0","event_id":"sha256:5b382e9823b8d87202608e566318224f093fd98ef713e5f7115492e81b99ff59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/bundle.json","state_url":"https://pith.science/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T05:50:16Z","links":{"resolver":"https://pith.science/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS","bundle":"https://pith.science/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/bundle.json","state":"https://pith.science/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7N2AAZG5I5ODGZY6VUO7ZCDUCS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7N2AAZG5I5ODGZY6VUO7ZCDUCS","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":"0b781f41ccb37766824caf410049928dff80330f193b582f19f2e461b030f152","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-03-31T13:59:06Z","title_canon_sha256":"73aaa85788e8cd54b861632b76c58a143c28b8ea9ac2ec870a455f0d29fa50a4"},"schema_version":"1.0","source":{"id":"1403.7997","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7997","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7997v2","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7997","created_at":"2026-05-18T01:11:46Z"},{"alias_kind":"pith_short_12","alias_value":"7N2AAZG5I5OD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7N2AAZG5I5ODGZY6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7N2AAZG5","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:5b382e9823b8d87202608e566318224f093fd98ef713e5f7115492e81b99ff59","target":"graph","created_at":"2026-05-18T01:11:46Z","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":"Computable analysis and effective descriptive set theory are both concerned with complete metric spaces, functions between them and subsets thereof in an effective setting. The precise relationship of the various definitions used in the two disciplines has so far been neglected, a situation this paper is meant to remedy.\n  As the role of the Cauchy completion is relevant for both effective approaches to Polish spaces, we consider the interplay of effectivity and completion in some more detail.","authors_text":"Arno Pauly, Tam\\'as Kisp\\'eter, Vassilios Gregoriades","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-03-31T13:59:06Z","title":"A comparison of concepts from computable analysis and effective descriptive set theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7997","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":"sha256:08058b1ca37cd1703c8368fbdeeb8448b44dd35ca8ced2cf3e9072d5cff24fed","target":"record","created_at":"2026-05-18T01:11:46Z","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":"0b781f41ccb37766824caf410049928dff80330f193b582f19f2e461b030f152","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-03-31T13:59:06Z","title_canon_sha256":"73aaa85788e8cd54b861632b76c58a143c28b8ea9ac2ec870a455f0d29fa50a4"},"schema_version":"1.0","source":{"id":"1403.7997","kind":"arxiv","version":2}},"canonical_sha256":"fb740064dd475c33671ead1dfc887414bf809d3102799a9c6770ff3a5e282e99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb740064dd475c33671ead1dfc887414bf809d3102799a9c6770ff3a5e282e99","first_computed_at":"2026-05-18T01:11:46.998538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:46.998538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ohF7P57dURqgHfdLULZnLal8JR027rG4SGf8Qp/YmVxA2Wzeiou2GGyD+8EA/no97qEXyVJJmLOMC6g6gMXOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:46.998873Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7997","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08058b1ca37cd1703c8368fbdeeb8448b44dd35ca8ced2cf3e9072d5cff24fed","sha256:5b382e9823b8d87202608e566318224f093fd98ef713e5f7115492e81b99ff59"],"state_sha256":"84609b6aef1fac24c21e2d47e2e693e34c55b22471e24813a06b492e7453aeb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"laN4kwhNs4loidXrj1JB0SJAP8PDfJvBZjBPmt1LZzijXvgsnd0PmYPX+lsxxkb+qmUnls+/1XM9hFsKxSSKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:50:16.145309Z","bundle_sha256":"c9ccdd9df4de7dde5c780238afcb10aa948717a09179de0b085fc7f9fae289e1"}}