{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XEEIVQPMKEP2W3ES5DA27DPD7W","short_pith_number":"pith:XEEIVQPM","canonical_record":{"source":{"id":"1108.5979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-30T15:11:46Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"672f2fe4fd93b69c814648e60e47df9915818c8de0d16a1e326fbb654a88bdf3","abstract_canon_sha256":"389e527a40290fb1ac62b64e279eac0584ffbb704006ae66162e5b735577a0b9"},"schema_version":"1.0"},"canonical_sha256":"b9088ac1ec511fab6c92e8c1af8de3fd860403232caf72b9eccd0bbb961989f4","source":{"kind":"arxiv","id":"1108.5979","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5979","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5979v2","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5979","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"XEEIVQPMKEP2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEEIVQPMKEP2W3ES","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEEIVQPM","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XEEIVQPMKEP2W3ES5DA27DPD7W","target":"record","payload":{"canonical_record":{"source":{"id":"1108.5979","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-30T15:11:46Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"672f2fe4fd93b69c814648e60e47df9915818c8de0d16a1e326fbb654a88bdf3","abstract_canon_sha256":"389e527a40290fb1ac62b64e279eac0584ffbb704006ae66162e5b735577a0b9"},"schema_version":"1.0"},"canonical_sha256":"b9088ac1ec511fab6c92e8c1af8de3fd860403232caf72b9eccd0bbb961989f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:08.217242Z","signature_b64":"vxyxxn6X9oTrIH7GFOi/X2OCNOoE6BPkP5LtiDgQ5qz0hfTEk9Bvb5epAO3irBUM0arjiIK0p0GRitKDT0NcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9088ac1ec511fab6c92e8c1af8de3fd860403232caf72b9eccd0bbb961989f4","last_reissued_at":"2026-05-18T04:11:08.216614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:08.216614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.5979","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":"2026-05-18T04:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+e0rE+7mLX8rb1sasGhtC6DXu5sfflrDqu1drva82+XcDar0/AFC6GSsbTX3kAwB4CRFFuh09/q3qqWkxGhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:32.136776Z"},"content_sha256":"ad4b2b17a2e19edc0bebcdb5f6830a12c0ff618c78aeaa102bda80aa7c243b7d","schema_version":"1.0","event_id":"sha256:ad4b2b17a2e19edc0bebcdb5f6830a12c0ff618c78aeaa102bda80aa7c243b7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XEEIVQPMKEP2W3ES5DA27DPD7W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourth order spatial derivative gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"F. S. Bemfica, M. Gomes","submitted_at":"2011-08-30T15:11:46Z","abstract_excerpt":"In this work we study a modified theory of gravity that contains up to fourth order spatial derivatives as a model for the Horava-Lifshitz gravity. The propagator is evaluated and, as a result, it is obtained one extra pole corresponding to a spin two nonrelativistic massless particle, an extra term which jeopardizes renormalizability, besides the unexpected general relativity unmodified propagator. Then, unitarity is proved at the tree-level, where the general relativity pole has shown to have no dynamics, remaining only the two degrees of freedom of the new pole. Next, the nonrelativistic ef"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5979","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":"2026-05-18T04:11:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uUqCubju6+KUf6ETMe14XV8cNZrdHWiSohqo3PN63tREb7ql/JPZ2FPxdsa+lRU4g2pLHCPVdzw3W5BIWykcBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:52:32.137615Z"},"content_sha256":"c4a9fe654aef90a4133277e540dae44b562eae4ccd30acc7a4945db3d8871710","schema_version":"1.0","event_id":"sha256:c4a9fe654aef90a4133277e540dae44b562eae4ccd30acc7a4945db3d8871710"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/bundle.json","state_url":"https://pith.science/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/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":"2026-06-09T06:52:32Z","links":{"resolver":"https://pith.science/pith/XEEIVQPMKEP2W3ES5DA27DPD7W","bundle":"https://pith.science/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/bundle.json","state":"https://pith.science/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEEIVQPMKEP2W3ES5DA27DPD7W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XEEIVQPMKEP2W3ES5DA27DPD7W","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":"389e527a40290fb1ac62b64e279eac0584ffbb704006ae66162e5b735577a0b9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-30T15:11:46Z","title_canon_sha256":"672f2fe4fd93b69c814648e60e47df9915818c8de0d16a1e326fbb654a88bdf3"},"schema_version":"1.0","source":{"id":"1108.5979","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5979","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5979v2","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5979","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"XEEIVQPMKEP2","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XEEIVQPMKEP2W3ES","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XEEIVQPM","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:c4a9fe654aef90a4133277e540dae44b562eae4ccd30acc7a4945db3d8871710","target":"graph","created_at":"2026-05-18T04:11:08Z","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":"In this work we study a modified theory of gravity that contains up to fourth order spatial derivatives as a model for the Horava-Lifshitz gravity. The propagator is evaluated and, as a result, it is obtained one extra pole corresponding to a spin two nonrelativistic massless particle, an extra term which jeopardizes renormalizability, besides the unexpected general relativity unmodified propagator. Then, unitarity is proved at the tree-level, where the general relativity pole has shown to have no dynamics, remaining only the two degrees of freedom of the new pole. Next, the nonrelativistic ef","authors_text":"F. S. Bemfica, M. Gomes","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-30T15:11:46Z","title":"Fourth order spatial derivative gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5979","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:ad4b2b17a2e19edc0bebcdb5f6830a12c0ff618c78aeaa102bda80aa7c243b7d","target":"record","created_at":"2026-05-18T04:11:08Z","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":"389e527a40290fb1ac62b64e279eac0584ffbb704006ae66162e5b735577a0b9","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-08-30T15:11:46Z","title_canon_sha256":"672f2fe4fd93b69c814648e60e47df9915818c8de0d16a1e326fbb654a88bdf3"},"schema_version":"1.0","source":{"id":"1108.5979","kind":"arxiv","version":2}},"canonical_sha256":"b9088ac1ec511fab6c92e8c1af8de3fd860403232caf72b9eccd0bbb961989f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9088ac1ec511fab6c92e8c1af8de3fd860403232caf72b9eccd0bbb961989f4","first_computed_at":"2026-05-18T04:11:08.216614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:08.216614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vxyxxn6X9oTrIH7GFOi/X2OCNOoE6BPkP5LtiDgQ5qz0hfTEk9Bvb5epAO3irBUM0arjiIK0p0GRitKDT0NcBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:08.217242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5979","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ad4b2b17a2e19edc0bebcdb5f6830a12c0ff618c78aeaa102bda80aa7c243b7d","sha256:c4a9fe654aef90a4133277e540dae44b562eae4ccd30acc7a4945db3d8871710"],"state_sha256":"78d17c38ec1cd1ae7602162b5efece210ce299a8dcba24670949465e09bf06d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aoHhmc0TA+JNOqMInesjcHlFkbNDqSBkR+3Nrla6Uo83VPNfl0QwAksQUTrJZkQ/pS9NK0Uhyugr/YnsUh+3CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:52:32.141523Z","bundle_sha256":"41cfd0e29fd9fe758c53eab37d9afe050d2a8524d66551ba68ceaf3f5175b3b0"}}