{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:I5PA5ORQCOYVC6ISREQTO6JVT5","short_pith_number":"pith:I5PA5ORQ","schema_version":"1.0","canonical_sha256":"475e0eba3013b151791289213779359f6b19c7b37f1e9a2db86132adc850427e","source":{"kind":"arxiv","id":"2010.01822","version":3},"attestation_state":"computed","paper":{"title":"Geometric aspects of covariant Wick rotation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala, Raghvendra Singh","submitted_at":"2020-10-05T07:16:22Z","abstract_excerpt":"We discuss the generic geometric properties of metrics $\\widehat {g}_{ab}$ constructed from Lorentzian metric $g_{ab}$ and a nowhere vanishing, hypersurface orthogonal, timelike vector field $u^a$. The metric ${\\widehat g}_{ab}$ has Euclidean signature in a certain domain, with the transition to Lorentzian signature occurring at some hypersurface $\\Sigma$ orthogonal to $u^a$. Geometry associated with ${\\widehat g}_{ab}$ has recently been shown to yield remarkable new insights for classical and quantum gravity. In this work, we prove several general results applicable in physically relevant spa"},"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":"2010.01822","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-10-05T07:16:22Z","cross_cats_sorted":[],"title_canon_sha256":"961fbb31cad7d6e71df52434b0e4044cdc556516002f677f2cf6b4767f9f824b","abstract_canon_sha256":"4b1e81d658c828d47ad8c8b24c1e0e9590a982195f26a539524b2dffe6d3694e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:48:24.350294Z","signature_b64":"4X5Hz6oA5TzpqhjM4yFiOlIkOLgIDndYkbGqRaNG5IpYvZwN3srGLeqBIbHg2rHq7XzUx9l/rw+ZndnPn7Q3CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"475e0eba3013b151791289213779359f6b19c7b37f1e9a2db86132adc850427e","last_reissued_at":"2026-07-05T05:48:24.349787Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:48:24.349787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric aspects of covariant Wick rotation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala, Raghvendra Singh","submitted_at":"2020-10-05T07:16:22Z","abstract_excerpt":"We discuss the generic geometric properties of metrics $\\widehat {g}_{ab}$ constructed from Lorentzian metric $g_{ab}$ and a nowhere vanishing, hypersurface orthogonal, timelike vector field $u^a$. The metric ${\\widehat g}_{ab}$ has Euclidean signature in a certain domain, with the transition to Lorentzian signature occurring at some hypersurface $\\Sigma$ orthogonal to $u^a$. Geometry associated with ${\\widehat g}_{ab}$ has recently been shown to yield remarkable new insights for classical and quantum gravity. In this work, we prove several general results applicable in physically relevant spa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01822","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.01822/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2010.01822","created_at":"2026-07-05T05:48:24.349846+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.01822v3","created_at":"2026-07-05T05:48:24.349846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01822","created_at":"2026-07-05T05:48:24.349846+00:00"},{"alias_kind":"pith_short_12","alias_value":"I5PA5ORQCOYV","created_at":"2026-07-05T05:48:24.349846+00:00"},{"alias_kind":"pith_short_16","alias_value":"I5PA5ORQCOYVC6IS","created_at":"2026-07-05T05:48:24.349846+00:00"},{"alias_kind":"pith_short_8","alias_value":"I5PA5ORQ","created_at":"2026-07-05T05:48:24.349846+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.01274","citing_title":"Inflation from Covariant Signature Change: A Geometric Mechanism","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5","json":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5.json","graph_json":"https://pith.science/api/pith-number/I5PA5ORQCOYVC6ISREQTO6JVT5/graph.json","events_json":"https://pith.science/api/pith-number/I5PA5ORQCOYVC6ISREQTO6JVT5/events.json","paper":"https://pith.science/paper/I5PA5ORQ"},"agent_actions":{"view_html":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5","download_json":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5.json","view_paper":"https://pith.science/paper/I5PA5ORQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.01822&json=true","fetch_graph":"https://pith.science/api/pith-number/I5PA5ORQCOYVC6ISREQTO6JVT5/graph.json","fetch_events":"https://pith.science/api/pith-number/I5PA5ORQCOYVC6ISREQTO6JVT5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5/action/storage_attestation","attest_author":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5/action/author_attestation","sign_citation":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5/action/citation_signature","submit_replication":"https://pith.science/pith/I5PA5ORQCOYVC6ISREQTO6JVT5/action/replication_record"}},"created_at":"2026-07-05T05:48:24.349846+00:00","updated_at":"2026-07-05T05:48:24.349846+00:00"}