{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7OSHVCOQZ7LCX2BNSFNKW65VE6","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":"4fa2bfdc58fd3c7c09178f2dfe0bc120e3923920ab9dd64d19a991cd302a2f3d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-04-29T18:00:04Z","title_canon_sha256":"1879c46fb2e0da989cd1fab3487320174082053ade29b90b4329013c95e8d4ff"},"schema_version":"1.0","source":{"id":"1904.12866","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.12866","created_at":"2026-05-17T23:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.12866v2","created_at":"2026-05-17T23:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.12866","created_at":"2026-05-17T23:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"7OSHVCOQZ7LC","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7OSHVCOQZ7LCX2BN","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7OSHVCOQ","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:8eacf5fcde09c6b27ba5ca696ff3596700d42b74c7ac88ae1d745d6e3b260cf6","target":"graph","created_at":"2026-05-17T23:39:24Z","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 explore the question of obtaining global solutions in Horndeski's theories of gravity. Towards this end, we study a relevant set of the theory and, by employing the Einstein frame we simplify the analysis by exploiting known results on global solutions of wave equations. We identify conditions for achieving global solutions as well as obstacles that can arise to spoil such goal. We illustrate such problems via numerical simulations.","authors_text":"Laura Bernard, Luis Lehner, Raimon Luna","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-04-29T18:00:04Z","title":"Challenges to global solutions in Horndeski's theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.12866","kind":"arxiv","version":2},"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":"sha256:040896577d3c0f33f08aec3d5ae2f5771a50b1a18b90a8d73849f850afa23bb4","target":"record","created_at":"2026-05-17T23:39:24Z","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":"4fa2bfdc58fd3c7c09178f2dfe0bc120e3923920ab9dd64d19a991cd302a2f3d","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-04-29T18:00:04Z","title_canon_sha256":"1879c46fb2e0da989cd1fab3487320174082053ade29b90b4329013c95e8d4ff"},"schema_version":"1.0","source":{"id":"1904.12866","kind":"arxiv","version":2}},"canonical_sha256":"fba47a89d0cfd62be82d915aab7bb527b48a9a46692de6385d4f0d2d9bb062fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fba47a89d0cfd62be82d915aab7bb527b48a9a46692de6385d4f0d2d9bb062fe","first_computed_at":"2026-05-17T23:39:24.329483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:24.329483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KwX8Lpke2wPG+y1ctDDwDnWjs5hcrizdv6ggaAP7KGh9rxoCNhh6I6i3AEjk4gVR7vwBcj/U2FVy66ETixZiDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:24.330297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.12866","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:040896577d3c0f33f08aec3d5ae2f5771a50b1a18b90a8d73849f850afa23bb4","sha256:8eacf5fcde09c6b27ba5ca696ff3596700d42b74c7ac88ae1d745d6e3b260cf6"],"state_sha256":"57c6bdf718fe3428a8e5b21f253421b1b6034e9381e15016f1d6d3277dce0ca4"}