{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:SIUIYIVXHHRREFBU65SQN7N5P5","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":"c2a266f1ff97f874e5c88f12f0e546eacc268f46ee90e37150351740aca1b2a8","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-05-02T20:03:40Z","title_canon_sha256":"109b58ae37741b9a83ee2479f3eab8deb4a17113213ec98d70a1a099b32d00f8"},"schema_version":"1.0","source":{"id":"gr-qc/0305012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0305012","created_at":"2026-07-04T16:40:12Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0305012v1","created_at":"2026-07-04T16:40:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0305012","created_at":"2026-07-04T16:40:12Z"},{"alias_kind":"pith_short_12","alias_value":"SIUIYIVXHHRR","created_at":"2026-07-04T16:40:12Z"},{"alias_kind":"pith_short_16","alias_value":"SIUIYIVXHHRREFBU","created_at":"2026-07-04T16:40:12Z"},{"alias_kind":"pith_short_8","alias_value":"SIUIYIVX","created_at":"2026-07-04T16:40:12Z"}],"graph_snapshots":[{"event_id":"sha256:56e6a099608f004a773ac453cb81557e5a29c2b23344bc9f93a0e050a8c35da9","target":"graph","created_at":"2026-07-04T16:40:12Z","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/0305012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It was previously shown by one of us that in any static, non-globally-hyperbolic, spacetime it is always possible to define a sensible dynamics for a Klein-Gordon scalar field. The prescription proposed for doing so involved viewing the spatial derivative part, $A$, of the wave operator as an operator on a certain $L^2$ Hilbert space $\\mathcal H$ and then defining a positive, self-adjoint operator on $\\mathcal H$ by taking the Friedrichs extension (or other positive extension) of $A$. However, this analysis left open the possibility that there could be other inequivalent prescriptions of a com","authors_text":"Akihiro Ishibashi, Robert M. Wald","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-05-02T20:03:40Z","title":"Dynamics in Non-Globally-Hyperbolic Static Spacetimes II: General Analysis of Prescriptions for Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0305012","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":"sha256:35ec923b32804b93620ba08d0cbca132fa3d1b9c138e5e7d6129ebfd45370294","target":"record","created_at":"2026-07-04T16:40:12Z","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":"c2a266f1ff97f874e5c88f12f0e546eacc268f46ee90e37150351740aca1b2a8","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2003-05-02T20:03:40Z","title_canon_sha256":"109b58ae37741b9a83ee2479f3eab8deb4a17113213ec98d70a1a099b32d00f8"},"schema_version":"1.0","source":{"id":"gr-qc/0305012","kind":"arxiv","version":1}},"canonical_sha256":"92288c22b739e3121434f76506fdbd7f63b73930047c3fa7d14020a8726477aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92288c22b739e3121434f76506fdbd7f63b73930047c3fa7d14020a8726477aa","first_computed_at":"2026-07-04T16:40:12.292547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:40:12.292547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"156dnXIa8fPT32L/vnNUFuoC9JtOKW4qYcA+C43V2KFyKceoJcX4kbD1tk67xc/MSCRpJBuQMvHq4lFAXMINCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:40:12.292923Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0305012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35ec923b32804b93620ba08d0cbca132fa3d1b9c138e5e7d6129ebfd45370294","sha256:56e6a099608f004a773ac453cb81557e5a29c2b23344bc9f93a0e050a8c35da9"],"state_sha256":"7fb6799ceb366c9bcf0e3c00b2dd15147c17d138826ab8fe75316931907474f8"}