{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:Q6MDE7EDSPYPNK75JXQ3SOUIA4","short_pith_number":"pith:Q6MDE7ED","schema_version":"1.0","canonical_sha256":"8798327c8393f0f6abfd4de1b93a88072e113eb2c764324a026d34276e80651d","source":{"kind":"arxiv","id":"1712.08420","version":1},"attestation_state":"computed","paper":{"title":"Symmetries of the space of connections on a principal G-bundle and related symplectic structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anatol Odzijewicz, Aneta Sli\\.zewska, Grzegorz Jakimowicz","submitted_at":"2017-12-22T12:22:27Z","abstract_excerpt":"We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on TP. The symplectic structures corresponding to connections on P(M,G) are also investigated. The Marsden-Weinstein reduction procedure for these symplectic structures is discussed."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.08420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-22T12:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"8b2efae5dfc1bd537c475eb39a2dd954ebe98bcd9d6ed2f0e605c007d67f3d91","abstract_canon_sha256":"612b460ca40f817399a88544b7840f577e92ae7df666ba82faf77af40c15ddc8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:23.543206Z","signature_b64":"IGkcuSbiVvUBFQQuuSSx77akXKTArMzNU1uAchT3Upk6tB/J9MSWbx9RtqGpHKJ0S0Xr7SUdsVnxdD0BbfLuCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8798327c8393f0f6abfd4de1b93a88072e113eb2c764324a026d34276e80651d","last_reissued_at":"2026-05-18T00:27:23.542536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:23.542536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetries of the space of connections on a principal G-bundle and related symplectic structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anatol Odzijewicz, Aneta Sli\\.zewska, Grzegorz Jakimowicz","submitted_at":"2017-12-22T12:22:27Z","abstract_excerpt":"We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on TP. The symplectic structures corresponding to connections on P(M,G) are also investigated. The Marsden-Weinstein reduction procedure for these symplectic structures is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08420","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.08420","created_at":"2026-05-18T00:27:23.542650+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08420v1","created_at":"2026-05-18T00:27:23.542650+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08420","created_at":"2026-05-18T00:27:23.542650+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q6MDE7EDSPYP","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q6MDE7EDSPYPNK75","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q6MDE7ED","created_at":"2026-05-18T12:31:37.085036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4","json":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4.json","graph_json":"https://pith.science/api/pith-number/Q6MDE7EDSPYPNK75JXQ3SOUIA4/graph.json","events_json":"https://pith.science/api/pith-number/Q6MDE7EDSPYPNK75JXQ3SOUIA4/events.json","paper":"https://pith.science/paper/Q6MDE7ED"},"agent_actions":{"view_html":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4","download_json":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4.json","view_paper":"https://pith.science/paper/Q6MDE7ED","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08420&json=true","fetch_graph":"https://pith.science/api/pith-number/Q6MDE7EDSPYPNK75JXQ3SOUIA4/graph.json","fetch_events":"https://pith.science/api/pith-number/Q6MDE7EDSPYPNK75JXQ3SOUIA4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4/action/storage_attestation","attest_author":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4/action/author_attestation","sign_citation":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4/action/citation_signature","submit_replication":"https://pith.science/pith/Q6MDE7EDSPYPNK75JXQ3SOUIA4/action/replication_record"}},"created_at":"2026-05-18T00:27:23.542650+00:00","updated_at":"2026-05-18T00:27:23.542650+00:00"}