{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:PITNDU6HJYMTP6YDUZYQ5F3NDF","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":"76ee25df107e73ca5e701b3c208108006e100ed402f7f84dc03507cddf8ec173","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T21:00:05Z","title_canon_sha256":"71caa3962a419c612a8c4ea752ceeed637e12c88403d4c04fbfe77b0941eee33"},"schema_version":"1.0","source":{"id":"hep-th/0402184","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0402184","created_at":"2026-07-04T16:48:42Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0402184v4","created_at":"2026-07-04T16:48:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0402184","created_at":"2026-07-04T16:48:42Z"},{"alias_kind":"pith_short_12","alias_value":"PITNDU6HJYMT","created_at":"2026-07-04T16:48:42Z"},{"alias_kind":"pith_short_16","alias_value":"PITNDU6HJYMTP6YD","created_at":"2026-07-04T16:48:42Z"},{"alias_kind":"pith_short_8","alias_value":"PITNDU6H","created_at":"2026-07-04T16:48:42Z"}],"graph_snapshots":[{"event_id":"sha256:4c75ae4b8c4a969f3aa56af38103ad33c12aae66a8fde8f1831f8d145307776c","target":"graph","created_at":"2026-07-04T16:48:42Z","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/hep-th/0402184/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS spacetime need not have a well defined dynamics. Nevertheless, AdS spacetime is static, so the possible rules of dynamics for a field satisfying a linear wave equation are constrained by our previous general analysis--given in paper II--where it was shown that the possible choices of dynamics correspond to choices of positive, self-adjoint extensions of a certain ","authors_text":"Akihiro Ishibashi, Robert M. Wald","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T21:00:05Z","title":"Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0402184","kind":"arxiv","version":4},"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":"sha256:8e04fd98ce01b2edb3e091321d7b894ac8afc9e251dc10318b960307273f03c6","target":"record","created_at":"2026-07-04T16:48:42Z","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":"76ee25df107e73ca5e701b3c208108006e100ed402f7f84dc03507cddf8ec173","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-02-23T21:00:05Z","title_canon_sha256":"71caa3962a419c612a8c4ea752ceeed637e12c88403d4c04fbfe77b0941eee33"},"schema_version":"1.0","source":{"id":"hep-th/0402184","kind":"arxiv","version":4}},"canonical_sha256":"7a26d1d3c74e1937fb03a6710e976d194175dcff6d6448b4984b9d17ebd11982","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a26d1d3c74e1937fb03a6710e976d194175dcff6d6448b4984b9d17ebd11982","first_computed_at":"2026-07-04T16:48:42.164656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:42.164656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d1WlaMPcvGQMmwgHRthRPeW0794ya57jc7XYVXnJ93EEw+nc+s3gWnHYwUWTWRrJ8NOn71N8etew/BoOx9z7Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:42.165017Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0402184","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e04fd98ce01b2edb3e091321d7b894ac8afc9e251dc10318b960307273f03c6","sha256:4c75ae4b8c4a969f3aa56af38103ad33c12aae66a8fde8f1831f8d145307776c"],"state_sha256":"5e3d43d3513f2b1a02de3ad4e01bf1ef244fd3b9940e237d3284df1175b7de44"}