{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PNAG4U65IGP5YVRXPNFAURRURY","short_pith_number":"pith:PNAG4U65","schema_version":"1.0","canonical_sha256":"7b406e53dd419fdc56377b4a0a46348e147b20491ff983a091047f25e9f2d731","source":{"kind":"arxiv","id":"1505.02872","version":1},"attestation_state":"computed","paper":{"title":"Euler-Lagrange formulas for pseudo-Kaehler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"JeongHyeong Park","submitted_at":"2015-05-12T04:41:04Z","abstract_excerpt":"Let $c$ be a characteristic form of degree $k$ which is defined on a Kaehler manifold of real dimension $m>2k$. Taking the inner product with the Kaehler form $\\Omega^k$ gives a scalar invariant which can be considered as a generalized Lovelock functional. The associated Euler-Lagrange equations are a generalized Einstein-Gauss-Bonnet gravity theory; this theory restricts to the canonical formalism if $c=c_2$ is the second Chern form. We extend previous work studying these equations from the Kaehler to the pseudo-Kaehler setting."},"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":"1505.02872","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-05-12T04:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"aacefb6c2cc6aeac7ab6b7a6829262f49e4f056ca548f907ea5f28a8faa30ca7","abstract_canon_sha256":"5fe5299ba1f9c7767e85b11aede8aea870529be5873a62d1f540e24681f70fb1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:00.535730Z","signature_b64":"ZA3i93GgCi8gLeZYVeHGjbQPVSrDCf7Zlt6GFkkTA2ccur1Ve9bntMgsoOkzHSi7ntHrP6H/1yyRdR5PvGgTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b406e53dd419fdc56377b4a0a46348e147b20491ff983a091047f25e9f2d731","last_reissued_at":"2026-05-18T01:25:00.535060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:00.535060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Euler-Lagrange formulas for pseudo-Kaehler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"JeongHyeong Park","submitted_at":"2015-05-12T04:41:04Z","abstract_excerpt":"Let $c$ be a characteristic form of degree $k$ which is defined on a Kaehler manifold of real dimension $m>2k$. Taking the inner product with the Kaehler form $\\Omega^k$ gives a scalar invariant which can be considered as a generalized Lovelock functional. The associated Euler-Lagrange equations are a generalized Einstein-Gauss-Bonnet gravity theory; this theory restricts to the canonical formalism if $c=c_2$ is the second Chern form. We extend previous work studying these equations from the Kaehler to the pseudo-Kaehler setting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02872","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":"1505.02872","created_at":"2026-05-18T01:25:00.535160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.02872v1","created_at":"2026-05-18T01:25:00.535160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02872","created_at":"2026-05-18T01:25:00.535160+00:00"},{"alias_kind":"pith_short_12","alias_value":"PNAG4U65IGP5","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PNAG4U65IGP5YVRX","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PNAG4U65","created_at":"2026-05-18T12:29:37.295048+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/PNAG4U65IGP5YVRXPNFAURRURY","json":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY.json","graph_json":"https://pith.science/api/pith-number/PNAG4U65IGP5YVRXPNFAURRURY/graph.json","events_json":"https://pith.science/api/pith-number/PNAG4U65IGP5YVRXPNFAURRURY/events.json","paper":"https://pith.science/paper/PNAG4U65"},"agent_actions":{"view_html":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY","download_json":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY.json","view_paper":"https://pith.science/paper/PNAG4U65","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.02872&json=true","fetch_graph":"https://pith.science/api/pith-number/PNAG4U65IGP5YVRXPNFAURRURY/graph.json","fetch_events":"https://pith.science/api/pith-number/PNAG4U65IGP5YVRXPNFAURRURY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY/action/storage_attestation","attest_author":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY/action/author_attestation","sign_citation":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY/action/citation_signature","submit_replication":"https://pith.science/pith/PNAG4U65IGP5YVRXPNFAURRURY/action/replication_record"}},"created_at":"2026-05-18T01:25:00.535160+00:00","updated_at":"2026-05-18T01:25:00.535160+00:00"}