{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FNM4HWVLNQBDYFZ4WJ3FOSIWJO","short_pith_number":"pith:FNM4HWVL","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"},"canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","source":{"kind":"arxiv","id":"1703.04576","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04576","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04576v1","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04576","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"pith_short_12","alias_value":"FNM4HWVLNQBD","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FNM4HWVLNQBDYFZ4","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FNM4HWVL","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FNM4HWVLNQBDYFZ4WJ3FOSIWJO","target":"record","payload":{"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"},"canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","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"},"source_kind":"arxiv","source_id":"1703.04576","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:21:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DEZmwqG0G5nnJvzPWS2b6eSI+vBynJA8uzjooWtxnjIkPst7qHpbHCpfHzfdcgDWPlwPUTEQJTjo8ddItv4/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:03:49.868570Z"},"content_sha256":"8d033690d04b6aa2133f8aeae93de382a160a9c20af5bf6c84145e77970eeb41","schema_version":"1.0","event_id":"sha256:8d033690d04b6aa2133f8aeae93de382a160a9c20af5bf6c84145e77970eeb41"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FNM4HWVLNQBDYFZ4WJ3FOSIWJO","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:21:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FYLrvUggPBH7SfdL7Hp175B2IfCJlOcRi4ktSvy63rMkfTik005iVOsv7G8ysHPHTJ4PwlyAa7Z3jYOff10IAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T08:03:49.868917Z"},"content_sha256":"ecce1efd83422726864c70cca2c0805754e77005aff27a5cb926212ccefc8838","schema_version":"1.0","event_id":"sha256:ecce1efd83422726864c70cca2c0805754e77005aff27a5cb926212ccefc8838"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/bundle.json","state_url":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T08:03:49Z","links":{"resolver":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO","bundle":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/bundle.json","state":"https://pith.science/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNM4HWVLNQBDYFZ4WJ3FOSIWJO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FNM4HWVLNQBDYFZ4WJ3FOSIWJO","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":"d2a32775f5a191e7120430cd38c93a97dc166e917c454948e91cdc4a056c75bc","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-12T12:55:37Z","title_canon_sha256":"5ee5cd5665edebf4c02bad62b3b218ff9eb7f98e019e2c757b1f9764db351db1"},"schema_version":"1.0","source":{"id":"1703.04576","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04576","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04576v1","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04576","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"pith_short_12","alias_value":"FNM4HWVLNQBD","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FNM4HWVLNQBDYFZ4","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FNM4HWVL","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:ecce1efd83422726864c70cca2c0805754e77005aff27a5cb926212ccefc8838","target":"graph","created_at":"2026-05-18T00:21:28Z","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"},"paper":{"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 ","authors_text":"Christer Helleland, Sigbjorn Hervik","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-12T12:55:37Z","title":"Wick rotations and real GIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04576","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":"sha256:8d033690d04b6aa2133f8aeae93de382a160a9c20af5bf6c84145e77970eeb41","target":"record","created_at":"2026-05-18T00:21:28Z","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":"d2a32775f5a191e7120430cd38c93a97dc166e917c454948e91cdc4a056c75bc","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-12T12:55:37Z","title_canon_sha256":"5ee5cd5665edebf4c02bad62b3b218ff9eb7f98e019e2c757b1f9764db351db1"},"schema_version":"1.0","source":{"id":"1703.04576","kind":"arxiv","version":1}},"canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b59c3daab6c023c173cb2765749164b9c72fd9e48f75d53a6fc5c6563f99e7e","first_computed_at":"2026-05-18T00:21:28.668530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:28.668530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/qZZYs4QGh9KZsdDCE4vZlvSaXbga432hGFBIOUbsj3jrV2imClE9FOEz/ZSoPasq8ZOw+1wwFFD1cLZMPj/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:28.669143Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04576","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d033690d04b6aa2133f8aeae93de382a160a9c20af5bf6c84145e77970eeb41","sha256:ecce1efd83422726864c70cca2c0805754e77005aff27a5cb926212ccefc8838"],"state_sha256":"45aadd40d3fbd5f718eb76830ffdec593ea18c59f0074535a7e127188d7af3d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o3C7NkFT0jsy3H5unph+isa/Bkh3fZkQgCzzoe9FoSrNm2r1QMKig4LVt2/8DIKnN+jF/128bu2dmtuexqWMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T08:03:49.870893Z","bundle_sha256":"b712836abc47179871ba0160458b4498e544d350e2a09d1d2cc694cc96b97fe3"}}