{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FNM4HWVLNQBDYFZ4WJ3FOSIWJO","short_pith_number":"pith:FNM4HWVL","schema_version":"1.0","canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","source":{"kind":"arxiv","id":"1703.04576","version":1},"attestation_state":"computed","paper":{"title":"Wick rotations and real GIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Christer Helleland, Sigbjorn Hervik","submitted_at":"2017-03-12T12:55:37Z","abstract_excerpt":"We define Wick-rotations by considering pseudo-Riemannian manifolds as real slices of a holomorphic Riemannian manifold. From a frame bundle viewpoint Wick-rotations between different pseudo-Riemannian spaces can then be studied through their structure groups which are real forms of the corresponding complexified Lie group (different real forms $O(p,q)$ of the complex Lie group $O(n,\\mathbb{C})$). In this way, we can use real GIT (geometric invariant theory) to derive several new results regarding the existence, and non-existence, of such Wick-rotations. As an explicit example, we Wick rotate "},"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":"1703.04576","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-12T12:55:37Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"5ee5cd5665edebf4c02bad62b3b218ff9eb7f98e019e2c757b1f9764db351db1","abstract_canon_sha256":"d2a32775f5a191e7120430cd38c93a97dc166e917c454948e91cdc4a056c75bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:28.669143Z","signature_b64":"/qZZYs4QGh9KZsdDCE4vZlvSaXbga432hGFBIOUbsj3jrV2imClE9FOEz/ZSoPasq8ZOw+1wwFFD1cLZMPj/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","last_reissued_at":"2026-05-18T00:21:28.668530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:28.668530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wick rotations and real GIT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Christer Helleland, Sigbjorn Hervik","submitted_at":"2017-03-12T12:55:37Z","abstract_excerpt":"We define Wick-rotations by considering pseudo-Riemannian manifolds as real slices of a holomorphic Riemannian manifold. From a frame bundle viewpoint Wick-rotations between different pseudo-Riemannian spaces can then be studied through their structure groups which are real forms of the corresponding complexified Lie group (different real forms $O(p,q)$ of the complex Lie group $O(n,\\mathbb{C})$). In this way, we can use real GIT (geometric invariant theory) to derive several new results regarding the existence, and non-existence, of such Wick-rotations. As an explicit example, we Wick rotate "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04576","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":"1703.04576","created_at":"2026-05-18T00:21:28.668615+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.04576v1","created_at":"2026-05-18T00:21:28.668615+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04576","created_at":"2026-05-18T00:21:28.668615+00:00"},{"alias_kind":"pith_short_12","alias_value":"FNM4HWVLNQBD","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FNM4HWVLNQBDYFZ4","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FNM4HWVL","created_at":"2026-05-18T12:31:15.632608+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/FNM4HWVLNQBDYFZ4WJ3FOSIWJO","json":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO.json","graph_json":"https://pith.science/api/pith-number/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/graph.json","events_json":"https://pith.science/api/pith-number/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/events.json","paper":"https://pith.science/paper/FNM4HWVL"},"agent_actions":{"view_html":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO","download_json":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO.json","view_paper":"https://pith.science/paper/FNM4HWVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.04576&json=true","fetch_graph":"https://pith.science/api/pith-number/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/graph.json","fetch_events":"https://pith.science/api/pith-number/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/action/storage_attestation","attest_author":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/action/author_attestation","sign_citation":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/action/citation_signature","submit_replication":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/action/replication_record"}},"created_at":"2026-05-18T00:21:28.668615+00:00","updated_at":"2026-05-18T00:21:28.668615+00:00"}