{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RYJKLG6DASMSZWSFELORNAZI4W","short_pith_number":"pith:RYJKLG6D","canonical_record":{"source":{"id":"1406.2487","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-10T09:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"c5abd7389aa1b275822779cfad17e512c77cfbf499fa26a2f53b4f3bd48b0ec5","abstract_canon_sha256":"f7e38c926bf1e775ee048306d2d7147d8a106088f1337e7e86b9c4304b78e8da"},"schema_version":"1.0"},"canonical_sha256":"8e12a59bc304992cda4522dd168328e595d090f1c020311c9b973408a8746eba","source":{"kind":"arxiv","id":"1406.2487","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2487","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2487v4","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2487","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"RYJKLG6DASMS","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"RYJKLG6DASMSZWSF","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"RYJKLG6D","created_at":"2026-07-05T00:18:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RYJKLG6DASMSZWSFELORNAZI4W","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2487","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-10T09:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"c5abd7389aa1b275822779cfad17e512c77cfbf499fa26a2f53b4f3bd48b0ec5","abstract_canon_sha256":"f7e38c926bf1e775ee048306d2d7147d8a106088f1337e7e86b9c4304b78e8da"},"schema_version":"1.0"},"canonical_sha256":"8e12a59bc304992cda4522dd168328e595d090f1c020311c9b973408a8746eba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:02.839526Z","signature_b64":"5dUuA7t6HZKVSgWFEZLzwd6syrjO7zoV+XGGRIMjnsgDiKpbuzT/cRxu/r1qoTNf4A+4Pp8EW0A23itWr3i7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e12a59bc304992cda4522dd168328e595d090f1c020311c9b973408a8746eba","last_reissued_at":"2026-07-05T00:18:02.839143Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:02.839143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2487","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:18:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IuL5i0GLRJj32DivBk3kgduIm1qVuM8ckfMoC7jWcWXNRATa1RuCMlNCpPkXEEfbVWx+HqR+sPBRepBRiRnSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:38:26.948253Z"},"content_sha256":"579d063006b6c9bb4a96f6a0da8315b924f8be8f1105659cfcc9da79d6713021","schema_version":"1.0","event_id":"sha256:579d063006b6c9bb4a96f6a0da8315b924f8be8f1105659cfcc9da79d6713021"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RYJKLG6DASMSZWSFELORNAZI4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex homogeneous surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Benjamin McKay (University College Cork)","submitted_at":"2014-06-10T09:50:45Z","abstract_excerpt":"We classify the transitive, effective, holomorphic actions of connected complex Lie groups on complex surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2487","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1406.2487/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:18:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vKUWpFNAut0kaSZaNJXZZXVnbRUaZZs1b93J8ZnxOOaZpx7DiwONoQBe5mFpMdwlQ8DkCnjiXOLcxqEmeqAPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T17:38:26.948642Z"},"content_sha256":"726a85dded24284b94be57e461ec9e081f9f2c337a5d5a57d878e1ac8412b0c4","schema_version":"1.0","event_id":"sha256:726a85dded24284b94be57e461ec9e081f9f2c337a5d5a57d878e1ac8412b0c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYJKLG6DASMSZWSFELORNAZI4W/bundle.json","state_url":"https://pith.science/pith/RYJKLG6DASMSZWSFELORNAZI4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYJKLG6DASMSZWSFELORNAZI4W/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":"2026-07-06T17:38:26Z","links":{"resolver":"https://pith.science/pith/RYJKLG6DASMSZWSFELORNAZI4W","bundle":"https://pith.science/pith/RYJKLG6DASMSZWSFELORNAZI4W/bundle.json","state":"https://pith.science/pith/RYJKLG6DASMSZWSFELORNAZI4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYJKLG6DASMSZWSFELORNAZI4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RYJKLG6DASMSZWSFELORNAZI4W","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":"f7e38c926bf1e775ee048306d2d7147d8a106088f1337e7e86b9c4304b78e8da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-10T09:50:45Z","title_canon_sha256":"c5abd7389aa1b275822779cfad17e512c77cfbf499fa26a2f53b4f3bd48b0ec5"},"schema_version":"1.0","source":{"id":"1406.2487","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2487","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2487v4","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2487","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"RYJKLG6DASMS","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"RYJKLG6DASMSZWSF","created_at":"2026-07-05T00:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"RYJKLG6D","created_at":"2026-07-05T00:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:726a85dded24284b94be57e461ec9e081f9f2c337a5d5a57d878e1ac8412b0c4","target":"graph","created_at":"2026-07-05T00:18:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1406.2487/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We classify the transitive, effective, holomorphic actions of connected complex Lie groups on complex surfaces.","authors_text":"Benjamin McKay (University College Cork)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-10T09:50:45Z","title":"Complex homogeneous surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2487","kind":"arxiv","version":4},"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":"sha256:579d063006b6c9bb4a96f6a0da8315b924f8be8f1105659cfcc9da79d6713021","target":"record","created_at":"2026-07-05T00:18:02Z","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":"f7e38c926bf1e775ee048306d2d7147d8a106088f1337e7e86b9c4304b78e8da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-10T09:50:45Z","title_canon_sha256":"c5abd7389aa1b275822779cfad17e512c77cfbf499fa26a2f53b4f3bd48b0ec5"},"schema_version":"1.0","source":{"id":"1406.2487","kind":"arxiv","version":4}},"canonical_sha256":"8e12a59bc304992cda4522dd168328e595d090f1c020311c9b973408a8746eba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e12a59bc304992cda4522dd168328e595d090f1c020311c9b973408a8746eba","first_computed_at":"2026-07-05T00:18:02.839143Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:18:02.839143Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5dUuA7t6HZKVSgWFEZLzwd6syrjO7zoV+XGGRIMjnsgDiKpbuzT/cRxu/r1qoTNf4A+4Pp8EW0A23itWr3i7BA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:18:02.839526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2487","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:579d063006b6c9bb4a96f6a0da8315b924f8be8f1105659cfcc9da79d6713021","sha256:726a85dded24284b94be57e461ec9e081f9f2c337a5d5a57d878e1ac8412b0c4"],"state_sha256":"c63a3fa6af117d7cafe15fd066a5a61f77c252226c3fba75f720e39d450561ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8x43JQsAyUEkOqpW26Z68RD456m4j1JmUJSuJ5KFSdhmBXbV5mp4sQgOf2wx0cGcQPRPaPb15gEjqoxGldHrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T17:38:26.950718Z","bundle_sha256":"afd091071e38ad37e4962976273bbca8607ed20200648aac74b99ba22ac4d132"}}