{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:I7D2VKKG5XWLROVJBWYWUL5ZXY","short_pith_number":"pith:I7D2VKKG","canonical_record":{"source":{"id":"math/0504357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2005-04-18T11:03:43Z","cross_cats_sorted":[],"title_canon_sha256":"7feb0e07b65493293ecbcd56534f921f1eb8731911ee005ad5d12a1177933a27","abstract_canon_sha256":"96bfcdc63b265c7a5e72f366f13896e76f931aa9489716aa22c35edd9cd4f6f4"},"schema_version":"1.0"},"canonical_sha256":"47c7aaa946edecb8baa90db16a2fb9be09173488c10a964e016645b75abf8a44","source":{"kind":"arxiv","id":"math/0504357","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0504357","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/0504357v2","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504357","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"I7D2VKKG5XWL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"I7D2VKKG5XWLROVJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"I7D2VKKG","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:I7D2VKKG5XWLROVJBWYWUL5ZXY","target":"record","payload":{"canonical_record":{"source":{"id":"math/0504357","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2005-04-18T11:03:43Z","cross_cats_sorted":[],"title_canon_sha256":"7feb0e07b65493293ecbcd56534f921f1eb8731911ee005ad5d12a1177933a27","abstract_canon_sha256":"96bfcdc63b265c7a5e72f366f13896e76f931aa9489716aa22c35edd9cd4f6f4"},"schema_version":"1.0"},"canonical_sha256":"47c7aaa946edecb8baa90db16a2fb9be09173488c10a964e016645b75abf8a44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:42:34.320242Z","signature_b64":"7W44v0GJtYlaP94ZKcCuKijX5f075WXZ7MBo4lyOsMFR5tUR5ScZbLSHLZsR/Zf+cIJ+K3+eidAkFJ7DYR6uBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47c7aaa946edecb8baa90db16a2fb9be09173488c10a964e016645b75abf8a44","last_reissued_at":"2026-05-18T03:42:34.319668Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:42:34.319668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0504357","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":"2026-05-18T03:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ugAsQCBeDBr+0JPVOb/J4P+RoFmtKEYoqfHP70qdJvnr0yccJseydnbD4r4XYcDLBVMsPwMdaZHYgdCPfvkCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:46:55.555579Z"},"content_sha256":"1687439d567ba3a7a0d18ed4011ec79fcf99ba6be3e429bef16a5f1da37ad01f","schema_version":"1.0","event_id":"sha256:1687439d567ba3a7a0d18ed4011ec79fcf99ba6be3e429bef16a5f1da37ad01f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:I7D2VKKG5XWLROVJBWYWUL5ZXY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extension and reconstruction theorems for the Urysohn universal metric space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Matatyahu Rubin, Wieslaw Kubi\\'s","submitted_at":"2005-04-18T11:03:43Z","abstract_excerpt":"We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. We also prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504357","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":"2026-05-18T03:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tkSQEFzmodmi5hRc3LZgDNCF005LQlK+gdDqEXCfPtUlSpgTocHKOkfdaKYUeymqCEzb85BmPg2BRiczM5y7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T08:46:55.555938Z"},"content_sha256":"f821f0b222d168dc785c165fede442fbee935c0d6615cf11d4bd15dc26a64990","schema_version":"1.0","event_id":"sha256:f821f0b222d168dc785c165fede442fbee935c0d6615cf11d4bd15dc26a64990"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/bundle.json","state_url":"https://pith.science/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/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":"2026-06-05T08:46:55Z","links":{"resolver":"https://pith.science/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY","bundle":"https://pith.science/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/bundle.json","state":"https://pith.science/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7D2VKKG5XWLROVJBWYWUL5ZXY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:I7D2VKKG5XWLROVJBWYWUL5ZXY","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":"96bfcdc63b265c7a5e72f366f13896e76f931aa9489716aa22c35edd9cd4f6f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2005-04-18T11:03:43Z","title_canon_sha256":"7feb0e07b65493293ecbcd56534f921f1eb8731911ee005ad5d12a1177933a27"},"schema_version":"1.0","source":{"id":"math/0504357","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0504357","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"math/0504357v2","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0504357","created_at":"2026-05-18T03:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"I7D2VKKG5XWL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"I7D2VKKG5XWLROVJ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"I7D2VKKG","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:f821f0b222d168dc785c165fede442fbee935c0d6615cf11d4bd15dc26a64990","target":"graph","created_at":"2026-05-18T03:42:34Z","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":"We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. We also prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.","authors_text":"Matatyahu Rubin, Wieslaw Kubi\\'s","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2005-04-18T11:03:43Z","title":"Extension and reconstruction theorems for the Urysohn universal metric space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0504357","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":"sha256:1687439d567ba3a7a0d18ed4011ec79fcf99ba6be3e429bef16a5f1da37ad01f","target":"record","created_at":"2026-05-18T03:42:34Z","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":"96bfcdc63b265c7a5e72f366f13896e76f931aa9489716aa22c35edd9cd4f6f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2005-04-18T11:03:43Z","title_canon_sha256":"7feb0e07b65493293ecbcd56534f921f1eb8731911ee005ad5d12a1177933a27"},"schema_version":"1.0","source":{"id":"math/0504357","kind":"arxiv","version":2}},"canonical_sha256":"47c7aaa946edecb8baa90db16a2fb9be09173488c10a964e016645b75abf8a44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47c7aaa946edecb8baa90db16a2fb9be09173488c10a964e016645b75abf8a44","first_computed_at":"2026-05-18T03:42:34.319668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:34.319668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7W44v0GJtYlaP94ZKcCuKijX5f075WXZ7MBo4lyOsMFR5tUR5ScZbLSHLZsR/Zf+cIJ+K3+eidAkFJ7DYR6uBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:34.320242Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0504357","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1687439d567ba3a7a0d18ed4011ec79fcf99ba6be3e429bef16a5f1da37ad01f","sha256:f821f0b222d168dc785c165fede442fbee935c0d6615cf11d4bd15dc26a64990"],"state_sha256":"d37c7345a7bffcbb8b83da33726dc36c7ffda0728f1701958269453ed63e1b7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MdOCqiVXDISZTKApifL72fm2puEhSDFab9VCjHCWg+gDepw4xeDNmv9JBbpYk4ynriAJ3Eqb9VImIkfJdfX2DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T08:46:55.557879Z","bundle_sha256":"45e113191082d3709b0e9c1e12fe6a7505af99ac88727d935171bc8a22de5a1c"}}