{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:WPZMHTQ6PO3JQFHM3WCR5YQUKY","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":"ff5351a777f393a9eb0841395b2887ad992e4406856cf8e9167a71abd3a930c9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-10-31T17:23:13Z","title_canon_sha256":"673347040d436451ab62b7bdd880fdd8babd559d47be35607c6784dd65036c9f"},"schema_version":"1.0","source":{"id":"gr-qc/0510127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0510127","created_at":"2026-07-04T14:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0510127v1","created_at":"2026-07-04T14:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0510127","created_at":"2026-07-04T14:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"WPZMHTQ6PO3J","created_at":"2026-07-04T14:51:06Z"},{"alias_kind":"pith_short_16","alias_value":"WPZMHTQ6PO3JQFHM","created_at":"2026-07-04T14:51:06Z"},{"alias_kind":"pith_short_8","alias_value":"WPZMHTQ6","created_at":"2026-07-04T14:51:06Z"}],"graph_snapshots":[{"event_id":"sha256:a5ba240c2db4b0e83e0a5c1d2bbd7e0ebd9913e8652911b3eaa70846c6046c26","target":"graph","created_at":"2026-07-04T14:51:06Z","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/gr-qc/0510127/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Unruh and Hawking effects are investigated on certain families of topologically non-trivial spacetimes using a variety of techniques. First we present the Bogolubov transformation between Rindler and Minkowski quantizations on two flat spacetimes with topology ${\\R}^3\\times{S^1}$ (M_0 and M_-) for massive Dirac spinors. The two inequivalent spin structures on each are considered. Results show modifications to the Minkowski space Unruh effect. This provides a flat space model for the Hawking effect on Kruskal and RP^3 geon black hole spacetimes which is the subject of the rest of this part.","authors_text":"Paul Langlois","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-10-31T17:23:13Z","title":"Imprints of Spacetime Topology in the Hawking-Unruh Effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0510127","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":"sha256:9c8879182a21bf2c5be904e3c2aba072533c7aaa09335a4d6a4258905f563eab","target":"record","created_at":"2026-07-04T14:51:06Z","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":"ff5351a777f393a9eb0841395b2887ad992e4406856cf8e9167a71abd3a930c9","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2005-10-31T17:23:13Z","title_canon_sha256":"673347040d436451ab62b7bdd880fdd8babd559d47be35607c6784dd65036c9f"},"schema_version":"1.0","source":{"id":"gr-qc/0510127","kind":"arxiv","version":1}},"canonical_sha256":"b3f2c3ce1e7bb69814ecdd851ee214562c63f2c0b0d340696135a2b2d4ef2eae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3f2c3ce1e7bb69814ecdd851ee214562c63f2c0b0d340696135a2b2d4ef2eae","first_computed_at":"2026-07-04T14:51:06.821246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:51:06.821246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D+04rcExC5wU5rTyayIMj1auzZSPlHIBLGghfxYlXoZjMwkLyKhaKXhOm9qdnzOa/3tW3nWsQ916A2a3ZgAGCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:51:06.821593Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0510127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c8879182a21bf2c5be904e3c2aba072533c7aaa09335a4d6a4258905f563eab","sha256:a5ba240c2db4b0e83e0a5c1d2bbd7e0ebd9913e8652911b3eaa70846c6046c26"],"state_sha256":"783c40b47da388513e80681158cdfc90df81d96a0d0b2be1f5d33b6a9034c56a"}