{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:U6DF7M24YTOCWFEONZW3YIH24S","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":"ba6a8a6fcc6532aca367e4cbc798c0fe07c3832ff2fe3362760bac2898f57458","cross_cats_sorted":["hep-th","math.DG","math.QA","q-alg"],"license":"","primary_cat":"dg-ga","submitted_at":"1997-07-26T23:19:21Z","title_canon_sha256":"a40001d194d52e46f71c2a35137e25b412241be0d54aeab8fb29c0bb671953c5"},"schema_version":"1.0","source":{"id":"dg-ga/9707021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"dg-ga/9707021","created_at":"2026-07-04T15:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"dg-ga/9707021v1","created_at":"2026-07-04T15:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.dg-ga/9707021","created_at":"2026-07-04T15:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"U6DF7M24YTOC","created_at":"2026-07-04T15:08:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6DF7M24YTOCWFEO","created_at":"2026-07-04T15:08:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6DF7M24","created_at":"2026-07-04T15:08:46Z"}],"graph_snapshots":[{"event_id":"sha256:53fe2acdcb864c8261f88462bc2af129188cd0a865017f970d0dbdff2947dd6b","target":"graph","created_at":"2026-07-04T15:08:46Z","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/dg-ga/9707021/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a theory of \"quasi\"-Hamiltonian G-spaces for which the moment map takes values in the group G itself rather than in the dual of the Lie algebra. The theory includes counterparts of Hamiltonian reductions, the Guillemin-Sternberg symplectic cross-section theorem and of convexity properties of the moment map. As an application we obtain moduli spaces of flat connections on an oriented compact 2-manifold with boundary as quasi-Hamiltonian quotients of the space G^2 x ... x G^2.","authors_text":"Anton Alekseev, Anton Malkin, Eckhard Meinrenken","cross_cats":["hep-th","math.DG","math.QA","q-alg"],"headline":"","license":"","primary_cat":"dg-ga","submitted_at":"1997-07-26T23:19:21Z","title":"Lie Group Valued Moment Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"dg-ga/9707021","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":"sha256:32646173ea8a616954a718ad175941835810a7ff5e9c266dd9484e2900e1b9fd","target":"record","created_at":"2026-07-04T15:08:46Z","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":"ba6a8a6fcc6532aca367e4cbc798c0fe07c3832ff2fe3362760bac2898f57458","cross_cats_sorted":["hep-th","math.DG","math.QA","q-alg"],"license":"","primary_cat":"dg-ga","submitted_at":"1997-07-26T23:19:21Z","title_canon_sha256":"a40001d194d52e46f71c2a35137e25b412241be0d54aeab8fb29c0bb671953c5"},"schema_version":"1.0","source":{"id":"dg-ga/9707021","kind":"arxiv","version":1}},"canonical_sha256":"a7865fb35cc4dc2b148e6e6dbc20fae4a9d68cca4a6f6352bb3604a6e63b125b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7865fb35cc4dc2b148e6e6dbc20fae4a9d68cca4a6f6352bb3604a6e63b125b","first_computed_at":"2026-07-04T15:08:46.735014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:08:46.735014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pWGsh7LGOp3zvxybQYgqs8jJR3hhSd7iFNqFnKkQcdyypYM43sLiEJgXoQQdiKSZJCWAJ3uCJpxRnrLSUB8TAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:08:46.735425Z","signed_message":"canonical_sha256_bytes"},"source_id":"dg-ga/9707021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32646173ea8a616954a718ad175941835810a7ff5e9c266dd9484e2900e1b9fd","sha256:53fe2acdcb864c8261f88462bc2af129188cd0a865017f970d0dbdff2947dd6b"],"state_sha256":"f53e5cd5826f6e092ff5e3b892d17a1d4df76c6144f64fea99ba90cfde2d04d3"}