{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7YLEBGDORPK7ZNOV7G5UH7L73T","short_pith_number":"pith:7YLEBGDO","canonical_record":{"source":{"id":"1411.5976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-21T18:43:19Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"b0842ddf819ec5bc44c4c9a02a14236e736ca1ee5615618d990ba43008a47e42","abstract_canon_sha256":"ce2fd9a33c498834f68b9899aac7e611417f585c137d3d4cc406718159166961"},"schema_version":"1.0"},"canonical_sha256":"fe1640986e8bd5fcb5d5f9bb43fd7fdcee3a22b103236a72081d0083e804a97d","source":{"kind":"arxiv","id":"1411.5976","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5976","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5976v1","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5976","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"7YLEBGDORPK7","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7YLEBGDORPK7ZNOV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7YLEBGDO","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7YLEBGDORPK7ZNOV7G5UH7L73T","target":"record","payload":{"canonical_record":{"source":{"id":"1411.5976","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-21T18:43:19Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"b0842ddf819ec5bc44c4c9a02a14236e736ca1ee5615618d990ba43008a47e42","abstract_canon_sha256":"ce2fd9a33c498834f68b9899aac7e611417f585c137d3d4cc406718159166961"},"schema_version":"1.0"},"canonical_sha256":"fe1640986e8bd5fcb5d5f9bb43fd7fdcee3a22b103236a72081d0083e804a97d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.810098Z","signature_b64":"tBDLs2Q8RTlSGw7cIWjmj9UzCDOLlKZDyxDw7RZz7l4mSmZ6+i4Fq6M2a8KujPFDQoWu1cPQsXhj20oRKe4qBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe1640986e8bd5fcb5d5f9bb43fd7fdcee3a22b103236a72081d0083e804a97d","last_reissued_at":"2026-05-18T02:33:01.809684Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.809684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.5976","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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/l5nhhsrFgeC0EtMRW/jEmQIEaWkVZIQZA5OavOehqT2QWausuc+MFlJhMU/ckL+Aoy2BchAAQ2GD0ZbVx78Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:50:41.349965Z"},"content_sha256":"12499fed2651d8bf6c15508fa33623a31902930ffb71ce350bd937d0eff59df5","schema_version":"1.0","event_id":"sha256:12499fed2651d8bf6c15508fa33623a31902930ffb71ce350bd937d0eff59df5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7YLEBGDORPK7ZNOV7G5UH7L73T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"More Polish full groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.GR","authors_text":"Alessandro Carderi, Fran\\c{c}ois Le Ma\\^itre","submitted_at":"2014-11-21T18:43:19Z","abstract_excerpt":"We associate to every action of a Polish group on a standard probability space a Polish group that we call the orbit full group. For discrete groups, we recover the well-known full groups of pmp equivalence relations equipped with the uniform topology. However, there are many new examples, such as orbit full groups associated to measure preserving actions of locally compact groups. In fact, we show that such full groups are complete invariants of orbit equivalence.\n  We give various characterizations of the existence of a dense conjugacy class for orbit full groups, and we show that the ergodi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5976","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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IC578ZohW6T/oeikCoyHIOZ77wPC3clZvActMryNbdlSjUQ5mFHMax8Dz/PGAWada2HEThUrGf9TJiTPnM1PBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T20:50:41.350331Z"},"content_sha256":"8a44f5013d53d5b98478358cbaacc5807a3d659b9bfbb7e46c3ca46e3985d9ac","schema_version":"1.0","event_id":"sha256:8a44f5013d53d5b98478358cbaacc5807a3d659b9bfbb7e46c3ca46e3985d9ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/bundle.json","state_url":"https://pith.science/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/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":"2026-06-21T20:50:41Z","links":{"resolver":"https://pith.science/pith/7YLEBGDORPK7ZNOV7G5UH7L73T","bundle":"https://pith.science/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/bundle.json","state":"https://pith.science/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YLEBGDORPK7ZNOV7G5UH7L73T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7YLEBGDORPK7ZNOV7G5UH7L73T","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":"ce2fd9a33c498834f68b9899aac7e611417f585c137d3d4cc406718159166961","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-21T18:43:19Z","title_canon_sha256":"b0842ddf819ec5bc44c4c9a02a14236e736ca1ee5615618d990ba43008a47e42"},"schema_version":"1.0","source":{"id":"1411.5976","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5976","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5976v1","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5976","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"7YLEBGDORPK7","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7YLEBGDORPK7ZNOV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7YLEBGDO","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:8a44f5013d53d5b98478358cbaacc5807a3d659b9bfbb7e46c3ca46e3985d9ac","target":"graph","created_at":"2026-05-18T02:33:01Z","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 associate to every action of a Polish group on a standard probability space a Polish group that we call the orbit full group. For discrete groups, we recover the well-known full groups of pmp equivalence relations equipped with the uniform topology. However, there are many new examples, such as orbit full groups associated to measure preserving actions of locally compact groups. In fact, we show that such full groups are complete invariants of orbit equivalence.\n  We give various characterizations of the existence of a dense conjugacy class for orbit full groups, and we show that the ergodi","authors_text":"Alessandro Carderi, Fran\\c{c}ois Le Ma\\^itre","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-21T18:43:19Z","title":"More Polish full groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5976","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":"sha256:12499fed2651d8bf6c15508fa33623a31902930ffb71ce350bd937d0eff59df5","target":"record","created_at":"2026-05-18T02:33:01Z","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":"ce2fd9a33c498834f68b9899aac7e611417f585c137d3d4cc406718159166961","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-21T18:43:19Z","title_canon_sha256":"b0842ddf819ec5bc44c4c9a02a14236e736ca1ee5615618d990ba43008a47e42"},"schema_version":"1.0","source":{"id":"1411.5976","kind":"arxiv","version":1}},"canonical_sha256":"fe1640986e8bd5fcb5d5f9bb43fd7fdcee3a22b103236a72081d0083e804a97d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe1640986e8bd5fcb5d5f9bb43fd7fdcee3a22b103236a72081d0083e804a97d","first_computed_at":"2026-05-18T02:33:01.809684Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:01.809684Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tBDLs2Q8RTlSGw7cIWjmj9UzCDOLlKZDyxDw7RZz7l4mSmZ6+i4Fq6M2a8KujPFDQoWu1cPQsXhj20oRKe4qBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:01.810098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.5976","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12499fed2651d8bf6c15508fa33623a31902930ffb71ce350bd937d0eff59df5","sha256:8a44f5013d53d5b98478358cbaacc5807a3d659b9bfbb7e46c3ca46e3985d9ac"],"state_sha256":"75c6b299858d71378c1aafc9d4efb2c0ee4ab9acfdb3f780621cdafae0c0622d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZgR5n0rbFJ3+l50kVP/vvJPfwRdVFxYYZFokfUtWACssIXm+ATGfIUKAU4P1LLC/ZEIdhzV86PZeoFU5uI5tDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T20:50:41.352405Z","bundle_sha256":"d735cf8af97c38fab5bba15779856e0a040be66008cdbb7405ce8b438bfecfdd"}}