{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JORCSZ2IBHBMMOIYXH2Z64ELBK","short_pith_number":"pith:JORCSZ2I","canonical_record":{"source":{"id":"1104.1681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-09T07:20:11Z","cross_cats_sorted":[],"title_canon_sha256":"11ed6858a32b12732a39a1f7845b8ff69fb6f47f579e4a91da9b9f6196ffa288","abstract_canon_sha256":"7a0561ffd92f857fa0bb698bddb2493d7476e22e3bf50b5e4b9f35f206b81e95"},"schema_version":"1.0"},"canonical_sha256":"4ba229674809c2c63918b9f59f708b0ab1fad4f661bad0e673421002bacf3ef1","source":{"kind":"arxiv","id":"1104.1681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1681","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1681v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1681","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"JORCSZ2IBHBM","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JORCSZ2IBHBMMOIY","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JORCSZ2I","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JORCSZ2IBHBMMOIYXH2Z64ELBK","target":"record","payload":{"canonical_record":{"source":{"id":"1104.1681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-09T07:20:11Z","cross_cats_sorted":[],"title_canon_sha256":"11ed6858a32b12732a39a1f7845b8ff69fb6f47f579e4a91da9b9f6196ffa288","abstract_canon_sha256":"7a0561ffd92f857fa0bb698bddb2493d7476e22e3bf50b5e4b9f35f206b81e95"},"schema_version":"1.0"},"canonical_sha256":"4ba229674809c2c63918b9f59f708b0ab1fad4f661bad0e673421002bacf3ef1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.378347Z","signature_b64":"gJsHFMRTZhZIdlMH+kAtEHXDwyWtHTAOnYLPVwylj6+j0b657C/WqFvDjySbkLoBhf3tqtsQl0NWKIv1OAs9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ba229674809c2c63918b9f59f708b0ab1fad4f661bad0e673421002bacf3ef1","last_reissued_at":"2026-05-18T04:24:43.377953Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.377953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.1681","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GQqGE3TImjsWUSqbkvWZ64cqn59tLejDMWwKV4yiHA5VW+8fMLR10/TxpwqQIVFz5LrdtPD921gswuJRv7d5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:22:07.102793Z"},"content_sha256":"860f69ea2557cdd583b93a6978b3412637b7d923165ef1ea3c9bc4105c652649","schema_version":"1.0","event_id":"sha256:860f69ea2557cdd583b93a6978b3412637b7d923165ef1ea3c9bc4105c652649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JORCSZ2IBHBMMOIYXH2Z64ELBK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polish group actions and effectivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Barbara Majcher-Iwanow","submitted_at":"2011-04-09T07:20:11Z","abstract_excerpt":"We extend the result of Nadel describing the relationship between approximations of canonical Scott sentences and admissible sets to the general case of orbit equivalence relations induced on an arbitrary Polish space by a Polish group action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1681","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1q0nlbLSz7i4Ietp+4ueydjPEo4A6JUnTnKlXrc/NbDjedvjYs/+IUo1wMW+IQh1qtFiH3hiUVUx/0WlGrQ2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:22:07.103695Z"},"content_sha256":"9c59c29e13327a0e4377860ade23f6a44cb5a7e9b2375e2654285fc59caa51c5","schema_version":"1.0","event_id":"sha256:9c59c29e13327a0e4377860ade23f6a44cb5a7e9b2375e2654285fc59caa51c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/bundle.json","state_url":"https://pith.science/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/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":"2026-06-10T04:22:07Z","links":{"resolver":"https://pith.science/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK","bundle":"https://pith.science/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/bundle.json","state":"https://pith.science/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JORCSZ2IBHBMMOIYXH2Z64ELBK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JORCSZ2IBHBMMOIYXH2Z64ELBK","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":"7a0561ffd92f857fa0bb698bddb2493d7476e22e3bf50b5e4b9f35f206b81e95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-09T07:20:11Z","title_canon_sha256":"11ed6858a32b12732a39a1f7845b8ff69fb6f47f579e4a91da9b9f6196ffa288"},"schema_version":"1.0","source":{"id":"1104.1681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1681","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1681v1","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1681","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"JORCSZ2IBHBM","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JORCSZ2IBHBMMOIY","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JORCSZ2I","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:9c59c29e13327a0e4377860ade23f6a44cb5a7e9b2375e2654285fc59caa51c5","target":"graph","created_at":"2026-05-18T04:24:43Z","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 extend the result of Nadel describing the relationship between approximations of canonical Scott sentences and admissible sets to the general case of orbit equivalence relations induced on an arbitrary Polish space by a Polish group action.","authors_text":"Barbara Majcher-Iwanow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-09T07:20:11Z","title":"Polish group actions and effectivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1681","kind":"arxiv","version":1},"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":"sha256:860f69ea2557cdd583b93a6978b3412637b7d923165ef1ea3c9bc4105c652649","target":"record","created_at":"2026-05-18T04:24:43Z","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":"7a0561ffd92f857fa0bb698bddb2493d7476e22e3bf50b5e4b9f35f206b81e95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2011-04-09T07:20:11Z","title_canon_sha256":"11ed6858a32b12732a39a1f7845b8ff69fb6f47f579e4a91da9b9f6196ffa288"},"schema_version":"1.0","source":{"id":"1104.1681","kind":"arxiv","version":1}},"canonical_sha256":"4ba229674809c2c63918b9f59f708b0ab1fad4f661bad0e673421002bacf3ef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ba229674809c2c63918b9f59f708b0ab1fad4f661bad0e673421002bacf3ef1","first_computed_at":"2026-05-18T04:24:43.377953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:43.377953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJsHFMRTZhZIdlMH+kAtEHXDwyWtHTAOnYLPVwylj6+j0b657C/WqFvDjySbkLoBhf3tqtsQl0NWKIv1OAs9DA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:43.378347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:860f69ea2557cdd583b93a6978b3412637b7d923165ef1ea3c9bc4105c652649","sha256:9c59c29e13327a0e4377860ade23f6a44cb5a7e9b2375e2654285fc59caa51c5"],"state_sha256":"bbe1a049827366fdd23dbbe9493e00ee7efbffee32f2c39874d4f5a120f168a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yB9kMrPXpljIKVm8JaJyegS9NCXdt82ucte/7itkENxgVdndsE61uHfQNwX4cH2ltY4BMZYOGiFFuiH7ZVxhDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:22:07.107364Z","bundle_sha256":"a7390651e3d1553b0685359eed3866985d3a0a75697b3eb75b50a265224b5644"}}