{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VRAH45R5XZLYNR6TAVI3QGDCLY","short_pith_number":"pith:VRAH45R5","canonical_record":{"source":{"id":"1605.01024","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-05-03T18:59:52Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"4d8c9c26bb7827a1cb2781b71263a217a773d87a01e918b54b9a27c2faaf520d","abstract_canon_sha256":"bb47e900c354da02c7d3c7408723e287442d84c50de555a5b1f7ccb67eae057b"},"schema_version":"1.0"},"canonical_sha256":"ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971","source":{"kind":"arxiv","id":"1605.01024","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01024","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01024v2","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01024","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"VRAH45R5XZLY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VRAH45R5XZLYNR6T","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VRAH45R5","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VRAH45R5XZLYNR6TAVI3QGDCLY","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01024","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-05-03T18:59:52Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"4d8c9c26bb7827a1cb2781b71263a217a773d87a01e918b54b9a27c2faaf520d","abstract_canon_sha256":"bb47e900c354da02c7d3c7408723e287442d84c50de555a5b1f7ccb67eae057b"},"schema_version":"1.0"},"canonical_sha256":"ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:48.312626Z","signature_b64":"maOwfbRPs7p+gq1nAT1TFX10qliFKTlg+zj1CRzti7Tyhqzzj92WPrp//V9nKMjxEEkL//eFQvGm0RtOgcY1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971","last_reissued_at":"2026-05-18T01:12:48.312262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:48.312262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01024","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7/UiAKes5RnPFof5kpeMl9wSWIyQ2tRRuvkB+uvJT+dVjhdpcpyyyIgO7NOy+BhzdFNbmvAIoOy9KjMzxYJoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:44:22.177877Z"},"content_sha256":"e4cde587ab91c6dc9522b22fcbe01ba061c9762b6fca3725a5dac40faeb6ee1b","schema_version":"1.0","event_id":"sha256:e4cde587ab91c6dc9522b22fcbe01ba061c9762b6fca3725a5dac40faeb6ee1b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VRAH45R5XZLYNR6TAVI3QGDCLY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Borel semifilters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.GN","authors_text":"Andrea Medini","submitted_at":"2016-05-03T18:59:52Z","abstract_excerpt":"Building on work of van Engelen and van Mill, we show that a zero-dimensional Borel space is homeomorphic to a semifilter if and only if it is homogeneous and not locally compact. Under $\\mathbf{\\Sigma}^1_1$-Determinacy, this result extends to all analytic and coanalytic spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01024","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":"2026-05-18T01:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kmoRDybYsIsne8GBwS9hOVPECv1WdS2ZhFvixEcnP/3ObzjeK0zffAmcZU9C5Km/ars5Vn5oPCVNFBWywaS7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:44:22.178215Z"},"content_sha256":"3f19254048e02b9469099ac4c508791ab12c9552be04e14ccce7cde8fc7d620b","schema_version":"1.0","event_id":"sha256:3f19254048e02b9469099ac4c508791ab12c9552be04e14ccce7cde8fc7d620b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/bundle.json","state_url":"https://pith.science/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/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":"2026-06-27T13:44:22Z","links":{"resolver":"https://pith.science/pith/VRAH45R5XZLYNR6TAVI3QGDCLY","bundle":"https://pith.science/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/bundle.json","state":"https://pith.science/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRAH45R5XZLYNR6TAVI3QGDCLY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VRAH45R5XZLYNR6TAVI3QGDCLY","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":"bb47e900c354da02c7d3c7408723e287442d84c50de555a5b1f7ccb67eae057b","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-05-03T18:59:52Z","title_canon_sha256":"4d8c9c26bb7827a1cb2781b71263a217a773d87a01e918b54b9a27c2faaf520d"},"schema_version":"1.0","source":{"id":"1605.01024","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01024","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01024v2","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01024","created_at":"2026-05-18T01:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"VRAH45R5XZLY","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VRAH45R5XZLYNR6T","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VRAH45R5","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:3f19254048e02b9469099ac4c508791ab12c9552be04e14ccce7cde8fc7d620b","target":"graph","created_at":"2026-05-18T01:12:48Z","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":"Building on work of van Engelen and van Mill, we show that a zero-dimensional Borel space is homeomorphic to a semifilter if and only if it is homogeneous and not locally compact. Under $\\mathbf{\\Sigma}^1_1$-Determinacy, this result extends to all analytic and coanalytic spaces.","authors_text":"Andrea Medini","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-05-03T18:59:52Z","title":"On Borel semifilters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01024","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:e4cde587ab91c6dc9522b22fcbe01ba061c9762b6fca3725a5dac40faeb6ee1b","target":"record","created_at":"2026-05-18T01:12:48Z","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":"bb47e900c354da02c7d3c7408723e287442d84c50de555a5b1f7ccb67eae057b","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-05-03T18:59:52Z","title_canon_sha256":"4d8c9c26bb7827a1cb2781b71263a217a773d87a01e918b54b9a27c2faaf520d"},"schema_version":"1.0","source":{"id":"1605.01024","kind":"arxiv","version":2}},"canonical_sha256":"ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac407e763dbe5786c7d30551b818625e199892eeb06849f2f1ffa9b908f4e971","first_computed_at":"2026-05-18T01:12:48.312262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:48.312262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"maOwfbRPs7p+gq1nAT1TFX10qliFKTlg+zj1CRzti7Tyhqzzj92WPrp//V9nKMjxEEkL//eFQvGm0RtOgcY1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:48.312626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01024","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4cde587ab91c6dc9522b22fcbe01ba061c9762b6fca3725a5dac40faeb6ee1b","sha256:3f19254048e02b9469099ac4c508791ab12c9552be04e14ccce7cde8fc7d620b"],"state_sha256":"1ae835a5efa9f3f424aa901bac2f4a5a93ac16a71ee3d915890991642cdb454b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kvV6xBIov7xwhKqCi3hlyI1p8plSdmgmhVggKJAa39x3xyfBq6e5MEFFypADrKCXGoiMAAI0PD2bCtrqGZDAAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:44:22.180054Z","bundle_sha256":"8da24b420063b628d1b4e2da09622863ce5c857ab8df0d3af80b2b4dc44fc4d3"}}