{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YOIK53W3CMZBQNABOGBAKPGCC7","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":"f37cdf5cd9ccc364e0d26a3ef6fd27a5c2f2d50aec9e9f37ee0a8e93dc38231a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T14:27:44Z","title_canon_sha256":"1f9d47c16565e9978d1ac5996c6021e2045272bea1d1f4826235f22c4f02c9be"},"schema_version":"1.0","source":{"id":"1912.07401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.07401","created_at":"2026-07-05T00:26:21Z"},{"alias_kind":"arxiv_version","alias_value":"1912.07401v1","created_at":"2026-07-05T00:26:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.07401","created_at":"2026-07-05T00:26:21Z"},{"alias_kind":"pith_short_12","alias_value":"YOIK53W3CMZB","created_at":"2026-07-05T00:26:21Z"},{"alias_kind":"pith_short_16","alias_value":"YOIK53W3CMZBQNAB","created_at":"2026-07-05T00:26:21Z"},{"alias_kind":"pith_short_8","alias_value":"YOIK53W3","created_at":"2026-07-05T00:26:21Z"}],"graph_snapshots":[{"event_id":"sha256:9fc60b7453a06cba9afe3a9f91bb7572510d92021740c45900881cd4c5cb80ad","target":"graph","created_at":"2026-07-05T00:26:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.07401/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The functional Schr\\\"odinger equation in curved space-time is derived from the manifestly covariant precanonical Schr\\\"odinger equation. The Schr\\\"odinger wave functional is expressed as the trace of the multidimensional product integral of precanonical wave function restricted to a field configuration. The functional Schr\\\"odinger representation of QFT in curved space-time appears as a singular limiting case of a formulation based on precanonical quantization, which leads to a hypercomplex generalization of quantum formalism in field theory.","authors_text":"I.V. Kanatchikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T14:27:44Z","title":"On the precanonical structure of the Schr\\\"odinger wave functional in curved space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.07401","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":"sha256:627f443d167c9b11999e8286e9edfc0b4692c71d3ca79a46cb373b760bbbf1c0","target":"record","created_at":"2026-07-05T00:26:21Z","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":"f37cdf5cd9ccc364e0d26a3ef6fd27a5c2f2d50aec9e9f37ee0a8e93dc38231a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-12-16T14:27:44Z","title_canon_sha256":"1f9d47c16565e9978d1ac5996c6021e2045272bea1d1f4826235f22c4f02c9be"},"schema_version":"1.0","source":{"id":"1912.07401","kind":"arxiv","version":1}},"canonical_sha256":"c390aeeedb13321834017182053cc217ea7067f6f32c3ede3bb698ea4a56cfa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c390aeeedb13321834017182053cc217ea7067f6f32c3ede3bb698ea4a56cfa3","first_computed_at":"2026-07-05T00:26:21.288302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:26:21.288302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VWPhNUqdU/wfsrR+km5LKZ9jGRa+cO88jndSSzLCDNEJdsQClH4Wtzr2mw+OZ4s8AuOe1MJmfvmlwiHyIu1pBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:26:21.288733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.07401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:627f443d167c9b11999e8286e9edfc0b4692c71d3ca79a46cb373b760bbbf1c0","sha256:9fc60b7453a06cba9afe3a9f91bb7572510d92021740c45900881cd4c5cb80ad"],"state_sha256":"788585698ba307034733eb9f9ec28cedf89056786927b92054d2b15a31cf4770"}