{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B7NDMTIRYQ5FOOTKRNUDTOX22V","short_pith_number":"pith:B7NDMTIR","canonical_record":{"source":{"id":"1602.06433","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-02-20T17:15:18Z","cross_cats_sorted":[],"title_canon_sha256":"b6cb5ea3b5588e397b778dc09ead520934c61c8e5e9f461315de9e5e71200523","abstract_canon_sha256":"ff01f83955ac84e9c50152fe3eb4ba0ee549f4fa167f40155cefebb4a20c0cb4"},"schema_version":"1.0"},"canonical_sha256":"0fda364d11c43a573a6a8b6839bafad568cb674b85a67e71180ba8dd5249f60c","source":{"kind":"arxiv","id":"1602.06433","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06433","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06433v2","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06433","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"B7NDMTIRYQ5F","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B7NDMTIRYQ5FOOTK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B7NDMTIR","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B7NDMTIRYQ5FOOTKRNUDTOX22V","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06433","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-02-20T17:15:18Z","cross_cats_sorted":[],"title_canon_sha256":"b6cb5ea3b5588e397b778dc09ead520934c61c8e5e9f461315de9e5e71200523","abstract_canon_sha256":"ff01f83955ac84e9c50152fe3eb4ba0ee549f4fa167f40155cefebb4a20c0cb4"},"schema_version":"1.0"},"canonical_sha256":"0fda364d11c43a573a6a8b6839bafad568cb674b85a67e71180ba8dd5249f60c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:58.234881Z","signature_b64":"awSRBw5wzgiDGyovMEzDvUmbPvYvybHF63YwhiV/vpohTBE1qguZZcaR990RSOiP9M4DHGMA1wklJ2WLg6IrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fda364d11c43a573a6a8b6839bafad568cb674b85a67e71180ba8dd5249f60c","last_reissued_at":"2026-05-18T00:55:58.234346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:58.234346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06433","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":"2026-05-18T00:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LEvafA6Q6DJfF8Gi3TEmhhUoiLShsOLkfVjVcZeIzDQeCaBGk95/TKTWwsGmiWX1RMjPmiCARSnAUhDmLIW6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:13:14.749706Z"},"content_sha256":"d9d9e0f864a87fb608ce315adee5a4205f14bc37a953001d62f244df6b1638f4","schema_version":"1.0","event_id":"sha256:d9d9e0f864a87fb608ce315adee5a4205f14bc37a953001d62f244df6b1638f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B7NDMTIRYQ5FOOTKRNUDTOX22V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polish globalization of Polish group partial actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Carlos Uzcategui, Hector Pinedo","submitted_at":"2016-02-20T17:15:18Z","abstract_excerpt":"Let $X$ be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group $G$ on $X.$ If $G$ and $X$ are Polish spaces, we show that the globalization is also a Polish space. We also show the existence of an universal globalization for partial actions of Polish groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06433","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":"2026-05-18T00:55:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PWGjfj0csBioe/Uo2T1sDbO9Mr2DA/DFD9CDhsnz6EI4p46C+o7ZCEDo4+eMQSdRalxp0ewWjfUtb+563z9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:13:14.750051Z"},"content_sha256":"0a4b1ca9e96a9598a475b1eea70ee52405e73c5ea8b43c8c6a8962f6ba3cc27b","schema_version":"1.0","event_id":"sha256:0a4b1ca9e96a9598a475b1eea70ee52405e73c5ea8b43c8c6a8962f6ba3cc27b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/bundle.json","state_url":"https://pith.science/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/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":"2026-06-09T15:13:14Z","links":{"resolver":"https://pith.science/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V","bundle":"https://pith.science/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/bundle.json","state":"https://pith.science/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B7NDMTIRYQ5FOOTKRNUDTOX22V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B7NDMTIRYQ5FOOTKRNUDTOX22V","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":"ff01f83955ac84e9c50152fe3eb4ba0ee549f4fa167f40155cefebb4a20c0cb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-02-20T17:15:18Z","title_canon_sha256":"b6cb5ea3b5588e397b778dc09ead520934c61c8e5e9f461315de9e5e71200523"},"schema_version":"1.0","source":{"id":"1602.06433","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06433","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06433v2","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06433","created_at":"2026-05-18T00:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"B7NDMTIRYQ5F","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B7NDMTIRYQ5FOOTK","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B7NDMTIR","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:0a4b1ca9e96a9598a475b1eea70ee52405e73c5ea8b43c8c6a8962f6ba3cc27b","target":"graph","created_at":"2026-05-18T00:55:58Z","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":"Let $X$ be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group $G$ on $X.$ If $G$ and $X$ are Polish spaces, we show that the globalization is also a Polish space. We also show the existence of an universal globalization for partial actions of Polish groups.","authors_text":"Carlos Uzcategui, Hector Pinedo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-02-20T17:15:18Z","title":"Polish globalization of Polish group partial actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06433","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:d9d9e0f864a87fb608ce315adee5a4205f14bc37a953001d62f244df6b1638f4","target":"record","created_at":"2026-05-18T00:55:58Z","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":"ff01f83955ac84e9c50152fe3eb4ba0ee549f4fa167f40155cefebb4a20c0cb4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2016-02-20T17:15:18Z","title_canon_sha256":"b6cb5ea3b5588e397b778dc09ead520934c61c8e5e9f461315de9e5e71200523"},"schema_version":"1.0","source":{"id":"1602.06433","kind":"arxiv","version":2}},"canonical_sha256":"0fda364d11c43a573a6a8b6839bafad568cb674b85a67e71180ba8dd5249f60c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fda364d11c43a573a6a8b6839bafad568cb674b85a67e71180ba8dd5249f60c","first_computed_at":"2026-05-18T00:55:58.234346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:58.234346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"awSRBw5wzgiDGyovMEzDvUmbPvYvybHF63YwhiV/vpohTBE1qguZZcaR990RSOiP9M4DHGMA1wklJ2WLg6IrBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:58.234881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06433","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9d9e0f864a87fb608ce315adee5a4205f14bc37a953001d62f244df6b1638f4","sha256:0a4b1ca9e96a9598a475b1eea70ee52405e73c5ea8b43c8c6a8962f6ba3cc27b"],"state_sha256":"a6fd1e05ebf5fa88153e25993a92f9215b9935ffc1c51000840c971bd999c496"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CV+bmPTL2IE+349qxTjKYzISHn7MP8dpEsZf8ENuUlaeMxA13xF9GSPtNKZrhZAlnH+3q+Kbq7OrRaeiLn2tAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:13:14.751997Z","bundle_sha256":"7cf9e8e059352c212fa046df8433739a4cbcb4b7a983069b38a75965c3e6e8db"}}