{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TXRJU354KJSBNQGS6FFPQOTNTC","short_pith_number":"pith:TXRJU354","canonical_record":{"source":{"id":"1809.00034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-08-31T19:20:57Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"e2a9e75b013e0335e5a975eeee7b0bb35701a9f09f265095b06475cdedfbcbd8","abstract_canon_sha256":"80ac2e9ee9da1e933cb1f7a6cbb723a96d19b528366392a33cf4c71e439d269a"},"schema_version":"1.0"},"canonical_sha256":"9de29a6fbc526416c0d2f14af83a6d98adfc322af83408a8a0d44e0e477f18ed","source":{"kind":"arxiv","id":"1809.00034","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00034","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00034v2","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00034","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"TXRJU354KJSB","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TXRJU354KJSBNQGS","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TXRJU354","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TXRJU354KJSBNQGS6FFPQOTNTC","target":"record","payload":{"canonical_record":{"source":{"id":"1809.00034","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-08-31T19:20:57Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"e2a9e75b013e0335e5a975eeee7b0bb35701a9f09f265095b06475cdedfbcbd8","abstract_canon_sha256":"80ac2e9ee9da1e933cb1f7a6cbb723a96d19b528366392a33cf4c71e439d269a"},"schema_version":"1.0"},"canonical_sha256":"9de29a6fbc526416c0d2f14af83a6d98adfc322af83408a8a0d44e0e477f18ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:02.287631Z","signature_b64":"BYxdxPmTm+TOLObaSXCsnrxYUtCt33338q77p8aoE/Xg5HPY3ctBbf/eKaruzVFTI8PpLPmg3khgvzDALCPmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9de29a6fbc526416c0d2f14af83a6d98adfc322af83408a8a0d44e0e477f18ed","last_reissued_at":"2026-05-18T00:04:02.287000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:02.287000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.00034","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":"2026-05-18T00:04:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pzrnD5UEmJw+IcXBJvXM9bTjzW7M/axA3MkNl60lYonEXfLUMyemEvBXgRa3Kv5HYyG6lT5ioKWBf75QW3PmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:02:56.309458Z"},"content_sha256":"27b5d912f1e351518cd602b7ee9cf65193f9702f98efb1427840a91dc11a45ae","schema_version":"1.0","event_id":"sha256:27b5d912f1e351518cd602b7ee9cf65193f9702f98efb1427840a91dc11a45ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TXRJU354KJSBNQGS6FFPQOTNTC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locally conformally symplectic reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Miron Stanciu","submitted_at":"2018-08-31T19:20:57Z","abstract_excerpt":"We present a reduction procedure for locally conformally symplectic (LCS) manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally K\\\"ahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00034","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":"2026-05-18T00:04:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aeaes9BsgXJuMpXnXVn5S01XBaDL21vXsSZxDz0LL7WBMildIksNxeWRX4rEqHVFlyj+5TeD4ROcRyMjxQIiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:02:56.309803Z"},"content_sha256":"80311ec2771557d719b6e8be4d0572d6896a7d7cfa817f7258c69bbbc0e3c7fd","schema_version":"1.0","event_id":"sha256:80311ec2771557d719b6e8be4d0572d6896a7d7cfa817f7258c69bbbc0e3c7fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TXRJU354KJSBNQGS6FFPQOTNTC/bundle.json","state_url":"https://pith.science/pith/TXRJU354KJSBNQGS6FFPQOTNTC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TXRJU354KJSBNQGS6FFPQOTNTC/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":"2026-06-24T18:02:56Z","links":{"resolver":"https://pith.science/pith/TXRJU354KJSBNQGS6FFPQOTNTC","bundle":"https://pith.science/pith/TXRJU354KJSBNQGS6FFPQOTNTC/bundle.json","state":"https://pith.science/pith/TXRJU354KJSBNQGS6FFPQOTNTC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TXRJU354KJSBNQGS6FFPQOTNTC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TXRJU354KJSBNQGS6FFPQOTNTC","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":"80ac2e9ee9da1e933cb1f7a6cbb723a96d19b528366392a33cf4c71e439d269a","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-08-31T19:20:57Z","title_canon_sha256":"e2a9e75b013e0335e5a975eeee7b0bb35701a9f09f265095b06475cdedfbcbd8"},"schema_version":"1.0","source":{"id":"1809.00034","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.00034","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"arxiv_version","alias_value":"1809.00034v2","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.00034","created_at":"2026-05-18T00:04:02Z"},{"alias_kind":"pith_short_12","alias_value":"TXRJU354KJSB","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"TXRJU354KJSBNQGS","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"TXRJU354","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:80311ec2771557d719b6e8be4d0572d6896a7d7cfa817f7258c69bbbc0e3c7fd","target":"graph","created_at":"2026-05-18T00:04:02Z","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"},"paper":{"abstract_excerpt":"We present a reduction procedure for locally conformally symplectic (LCS) manifolds with an action of a Lie group preserving the conformal structure, with respect to any regular value of the momentum mapping. Under certain conditions, this reduction is compatible with the existence of a locally conformally K\\\"ahler structure. As a special consequence, we obtain a compatible contact reduction with respect to any regular value of the contact momentum mapping.","authors_text":"Miron Stanciu","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-08-31T19:20:57Z","title":"Locally conformally symplectic reduction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00034","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":"sha256:27b5d912f1e351518cd602b7ee9cf65193f9702f98efb1427840a91dc11a45ae","target":"record","created_at":"2026-05-18T00:04:02Z","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":"80ac2e9ee9da1e933cb1f7a6cbb723a96d19b528366392a33cf4c71e439d269a","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-08-31T19:20:57Z","title_canon_sha256":"e2a9e75b013e0335e5a975eeee7b0bb35701a9f09f265095b06475cdedfbcbd8"},"schema_version":"1.0","source":{"id":"1809.00034","kind":"arxiv","version":2}},"canonical_sha256":"9de29a6fbc526416c0d2f14af83a6d98adfc322af83408a8a0d44e0e477f18ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9de29a6fbc526416c0d2f14af83a6d98adfc322af83408a8a0d44e0e477f18ed","first_computed_at":"2026-05-18T00:04:02.287000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:02.287000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BYxdxPmTm+TOLObaSXCsnrxYUtCt33338q77p8aoE/Xg5HPY3ctBbf/eKaruzVFTI8PpLPmg3khgvzDALCPmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:02.287631Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.00034","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27b5d912f1e351518cd602b7ee9cf65193f9702f98efb1427840a91dc11a45ae","sha256:80311ec2771557d719b6e8be4d0572d6896a7d7cfa817f7258c69bbbc0e3c7fd"],"state_sha256":"ce8d53810059d4fd911545e0aa4c01608a8f2c3e083654bc21f2b34cad311548"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xP6t932JJpCyt7epgdjZ3Hdvb2bEw6V1xjgxVT9QBmMS1C6qRxya1EXGIcKTP3qmkwEeri15SrBCjma8nyJCBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T18:02:56.311757Z","bundle_sha256":"1e868b21b50366cacae1676e8b6a1388400df2d4c6fe897ac10873b787d98454"}}