{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:F77E4UJDFYC535R3OLGMXNWRZ3","short_pith_number":"pith:F77E4UJD","canonical_record":{"source":{"id":"1012.0473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-02T16:13:19Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"07297fc837f55f9419c7eb8dd991d3b0a730262b3ba6c0101ccf82cd0775d85b","abstract_canon_sha256":"7e1438948d10313bdb75e95fe8c1fa885e06400ec3487dae21370a0cb0c5aab4"},"schema_version":"1.0"},"canonical_sha256":"2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4","source":{"kind":"arxiv","id":"1012.0473","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0473","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0473v2","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0473","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"pith_short_12","alias_value":"F77E4UJDFYC5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"F77E4UJDFYC535R3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"F77E4UJD","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:F77E4UJDFYC535R3OLGMXNWRZ3","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-02T16:13:19Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"07297fc837f55f9419c7eb8dd991d3b0a730262b3ba6c0101ccf82cd0775d85b","abstract_canon_sha256":"7e1438948d10313bdb75e95fe8c1fa885e06400ec3487dae21370a0cb0c5aab4"},"schema_version":"1.0"},"canonical_sha256":"2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:16.004656Z","signature_b64":"+L31t1rd6WAmdLrdm4GTRA8XM5YbeNKWQZX9XRysU8CFxDGv2wtIsZL8UHmpR3+qix153JF2Uv8qxo1jIjamAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4","last_reissued_at":"2026-05-18T04:13:16.003979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:16.003979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0473","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SlM/6JV9CvB12EnxW/CLC92bx04Y16wbW2djTOLxwPFfx44QjKyjx8xBWiX7nE18WHOyc9XAZdqmW8l1en+0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:11:33.360161Z"},"content_sha256":"f04ef2fa17fccef552770f0e07dff279b542d053d49bc5e0876d3e6ce2a9e3c2","schema_version":"1.0","event_id":"sha256:f04ef2fa17fccef552770f0e07dff279b542d053d49bc5e0876d3e6ce2a9e3c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:F77E4UJDFYC535R3OLGMXNWRZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"U(1) Invariant F(R) Horava-Lifshitz Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Diego Saez-Gomez, Josef Kluson, Sergei D. Odintsov, Shin'ichi Nojiri","submitted_at":"2010-12-02T16:13:19Z","abstract_excerpt":"This paper is devoted to the study of various aspects of projectable F(R) Horava-Lifshitz (HL) gravity. We show that some versions of F(R) HL gravity may have stable de Sitter solution and instable flat space solution. In this case, the problem of scalar graviton does not appear because flat space is not vacuum state. Generalizing the U(1) HL theory proposed in arXiv:1007.2410, we formulate U(1) extension of scalar theory and of F(R) Horava-Lifshitz gravity. The Hamiltonian approach for such the theory is developed in full detail. It is demonstrated that its Hamiltonian structure is the same a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0473","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:13:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9vETt5s3gSlckj+TL4I02ouhUfeKHxhhXAiCUIBg4hOchypm2jUo+CG0OdYo7GyK5+IocKUk+VA7Q8gUQH25BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:11:33.360735Z"},"content_sha256":"34a0935e88c66a719f149bc3456c4fa4d8cbaa0ef23a6cf8a4309ace93f5a6d4","schema_version":"1.0","event_id":"sha256:34a0935e88c66a719f149bc3456c4fa4d8cbaa0ef23a6cf8a4309ace93f5a6d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F77E4UJDFYC535R3OLGMXNWRZ3/bundle.json","state_url":"https://pith.science/pith/F77E4UJDFYC535R3OLGMXNWRZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F77E4UJDFYC535R3OLGMXNWRZ3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T04:11:33Z","links":{"resolver":"https://pith.science/pith/F77E4UJDFYC535R3OLGMXNWRZ3","bundle":"https://pith.science/pith/F77E4UJDFYC535R3OLGMXNWRZ3/bundle.json","state":"https://pith.science/pith/F77E4UJDFYC535R3OLGMXNWRZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F77E4UJDFYC535R3OLGMXNWRZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:F77E4UJDFYC535R3OLGMXNWRZ3","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":"7e1438948d10313bdb75e95fe8c1fa885e06400ec3487dae21370a0cb0c5aab4","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-02T16:13:19Z","title_canon_sha256":"07297fc837f55f9419c7eb8dd991d3b0a730262b3ba6c0101ccf82cd0775d85b"},"schema_version":"1.0","source":{"id":"1012.0473","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0473","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0473v2","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0473","created_at":"2026-05-18T04:13:16Z"},{"alias_kind":"pith_short_12","alias_value":"F77E4UJDFYC5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"F77E4UJDFYC535R3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"F77E4UJD","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:34a0935e88c66a719f149bc3456c4fa4d8cbaa0ef23a6cf8a4309ace93f5a6d4","target":"graph","created_at":"2026-05-18T04:13:16Z","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":"This paper is devoted to the study of various aspects of projectable F(R) Horava-Lifshitz (HL) gravity. We show that some versions of F(R) HL gravity may have stable de Sitter solution and instable flat space solution. In this case, the problem of scalar graviton does not appear because flat space is not vacuum state. Generalizing the U(1) HL theory proposed in arXiv:1007.2410, we formulate U(1) extension of scalar theory and of F(R) Horava-Lifshitz gravity. The Hamiltonian approach for such the theory is developed in full detail. It is demonstrated that its Hamiltonian structure is the same a","authors_text":"Diego Saez-Gomez, Josef Kluson, Sergei D. Odintsov, Shin'ichi Nojiri","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-02T16:13:19Z","title":"U(1) Invariant F(R) Horava-Lifshitz Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0473","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:f04ef2fa17fccef552770f0e07dff279b542d053d49bc5e0876d3e6ce2a9e3c2","target":"record","created_at":"2026-05-18T04:13:16Z","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":"7e1438948d10313bdb75e95fe8c1fa885e06400ec3487dae21370a0cb0c5aab4","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-02T16:13:19Z","title_canon_sha256":"07297fc837f55f9419c7eb8dd991d3b0a730262b3ba6c0101ccf82cd0775d85b"},"schema_version":"1.0","source":{"id":"1012.0473","kind":"arxiv","version":2}},"canonical_sha256":"2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4","first_computed_at":"2026-05-18T04:13:16.003979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:16.003979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+L31t1rd6WAmdLrdm4GTRA8XM5YbeNKWQZX9XRysU8CFxDGv2wtIsZL8UHmpR3+qix153JF2Uv8qxo1jIjamAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:16.004656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0473","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f04ef2fa17fccef552770f0e07dff279b542d053d49bc5e0876d3e6ce2a9e3c2","sha256:34a0935e88c66a719f149bc3456c4fa4d8cbaa0ef23a6cf8a4309ace93f5a6d4"],"state_sha256":"e69f4d606f7b879c3384efbf29e93db2c78648bc8056c221aec3b596e9fa5503"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mhj9SEhgkVRIsFc+ApXrp+i6xwpEqMlwFCWsp6x//1HAS4Ou6bbxFJsG6jEHNUptvgWV0Fqu1Mr6xL6vctbFAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:11:33.364009Z","bundle_sha256":"55d93edf166943abec0967e374200b3734079c2d306559197fc45cfd42568528"}}