{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XPQKJ2ZISY4GPO5EGP7TV7QOTW","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":"98b5998dd3e149b791da6d143729f13f485bed17384d1b09d0a9b446fc41d9a2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-10T19:30:43Z","title_canon_sha256":"2c08c4f2004e78f46b3d135447c8bb7bfa90c492468a6950e1e3119812c95551"},"schema_version":"1.0","source":{"id":"1503.03042","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03042","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03042v2","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03042","created_at":"2026-05-18T01:29:46Z"},{"alias_kind":"pith_short_12","alias_value":"XPQKJ2ZISY4G","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XPQKJ2ZISY4GPO5E","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XPQKJ2ZI","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:d5ba65a64a84bcf2b91b93a01942c0b3242158c4555a1df6db6d359dcacce539","target":"graph","created_at":"2026-05-18T01:29:46Z","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 present a simple procedure to obtain all de Sitter solutions in the ghost-free massive gravity theory by using the Gordon ansatz. For these solutions the physical metric can be conveniently viewed as describing a hyperboloid in 5D Minkowski space, while the flat reference metric depends on the Stuckelberg field $T(t,r)$ that satisfies the equation $(\\partial_t{T})^2-(\\partial_r T)^2=1$. This equation has infinitely many solutions, hence there are infinitely many de Sitter vacua with different physical properties. Only the simplest solution with $T=t$ has been previously studied since it is ","authors_text":"Charles Mazuet, Mikhail S. Volkov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-10T19:30:43Z","title":"De Sitter vacua in ghost-free massive gravity theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03042","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:e1613c690d45108e05f0781b9bf2750093170c9b842b3ba57ed1b1cfaef8badd","target":"record","created_at":"2026-05-18T01:29:46Z","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":"98b5998dd3e149b791da6d143729f13f485bed17384d1b09d0a9b446fc41d9a2","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-03-10T19:30:43Z","title_canon_sha256":"2c08c4f2004e78f46b3d135447c8bb7bfa90c492468a6950e1e3119812c95551"},"schema_version":"1.0","source":{"id":"1503.03042","kind":"arxiv","version":2}},"canonical_sha256":"bbe0a4eb28963867bba433ff3afe0e9d80598ced48f2f63ea275ed62a9c74640","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbe0a4eb28963867bba433ff3afe0e9d80598ced48f2f63ea275ed62a9c74640","first_computed_at":"2026-05-18T01:29:46.372948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:46.372948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"av2WL3wn8RqTnti0IArWc3a5aj0OE2IM0eNw4E3bLaNplu8eJakT7o4S89mKHj9mMTR+ZOoy+h0dfeTpkWmFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:46.373679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03042","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1613c690d45108e05f0781b9bf2750093170c9b842b3ba57ed1b1cfaef8badd","sha256:d5ba65a64a84bcf2b91b93a01942c0b3242158c4555a1df6db6d359dcacce539"],"state_sha256":"dcaab400e0a73c87568a6fbdbc01d4de6e4f5c9e5a8ef0d55dbe96b536da9c34"}