{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:LW5N2RR3V5UX3HQ4X4LOR7XO7Z","short_pith_number":"pith:LW5N2RR3","canonical_record":{"source":{"id":"2110.14688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:15:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"68718171fd9db4b1228d900a5f25f365b2e0cc3cd64fce20c9ed06bfa13b9ba0","abstract_canon_sha256":"1ecf0b4cbe4e8a69921d4f4d2824566d67a4c951a94515779b03a8f1f4653283"},"schema_version":"1.0"},"canonical_sha256":"5dbadd463baf697d9e1cbf16e8feeefe5d011ded614a83b1e9e9cebae0aa79e8","source":{"kind":"arxiv","id":"2110.14688","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.14688","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"arxiv_version","alias_value":"2110.14688v1","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14688","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_12","alias_value":"LW5N2RR3V5UX","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_16","alias_value":"LW5N2RR3V5UX3HQ4","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_8","alias_value":"LW5N2RR3","created_at":"2026-07-05T09:42:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:LW5N2RR3V5UX3HQ4X4LOR7XO7Z","target":"record","payload":{"canonical_record":{"source":{"id":"2110.14688","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:15:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"68718171fd9db4b1228d900a5f25f365b2e0cc3cd64fce20c9ed06bfa13b9ba0","abstract_canon_sha256":"1ecf0b4cbe4e8a69921d4f4d2824566d67a4c951a94515779b03a8f1f4653283"},"schema_version":"1.0"},"canonical_sha256":"5dbadd463baf697d9e1cbf16e8feeefe5d011ded614a83b1e9e9cebae0aa79e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:16.957839Z","signature_b64":"zWI/1WrmlN+gelVsP1wLGrwhD2G8ZjwSozOZ5FiiCSmfZyrm+SuuWCmNHk5qbPd798TxkaNThCJ2qwEkbfb0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dbadd463baf697d9e1cbf16e8feeefe5d011ded614a83b1e9e9cebae0aa79e8","last_reissued_at":"2026-07-05T09:42:16.957241Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:16.957241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2110.14688","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:42:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F45fTwf6QQE8i+a8gXuwaZ2xzMhoQ0Ra4QKdK7krrbO4o7vZsEESn7P2UumYv21OnrYPTJ98M4qfYZ8Y2oYgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:10:30.460303Z"},"content_sha256":"804450855e62aff74e8ec7d4c6bcf6367e59ffc9666c2f55d2dedbe38356ba50","schema_version":"1.0","event_id":"sha256:804450855e62aff74e8ec7d4c6bcf6367e59ffc9666c2f55d2dedbe38356ba50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:LW5N2RR3V5UX3HQ4X4LOR7XO7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beta functions of (3+1)-dimensional projectable Horava gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander V. Kurov, Andrei O. Barvinsky, Sergey M. Sibiryakov","submitted_at":"2021-10-27T18:15:38Z","abstract_excerpt":"We derive the full set of beta functions for the marginal essential couplings of projectable Horava gravity in (3 + 1)-dimensional spacetime. To this end we compute the divergent part of the one-loop effective action in static background with arbitrary spatial metric. The computation is done in several steps: reduction of the problem to three dimensions, extraction of an operator square root from the spatial part of the fluctuation operator, and evaluation of its trace using the method of universal functional traces. This provides us with the renormalization of couplings in the potential part "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14688","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.14688/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:42:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7E17A1hs0vtuyR39FBpJZvC08lhyxrbAbpq5/sPPXYETD9b6vABH3i1BM/xnO5Z9AXYj8s5e1k3uaCGFHKDcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:10:30.460715Z"},"content_sha256":"c88187d424da500fd676fae7d31129cb8e86f1e43c9806cc621169c5d35f2680","schema_version":"1.0","event_id":"sha256:c88187d424da500fd676fae7d31129cb8e86f1e43c9806cc621169c5d35f2680"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/bundle.json","state_url":"https://pith.science/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/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":"2026-08-13T23:10:30Z","links":{"resolver":"https://pith.science/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z","bundle":"https://pith.science/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/bundle.json","state":"https://pith.science/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LW5N2RR3V5UX3HQ4X4LOR7XO7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:LW5N2RR3V5UX3HQ4X4LOR7XO7Z","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":"1ecf0b4cbe4e8a69921d4f4d2824566d67a4c951a94515779b03a8f1f4653283","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:15:38Z","title_canon_sha256":"68718171fd9db4b1228d900a5f25f365b2e0cc3cd64fce20c9ed06bfa13b9ba0"},"schema_version":"1.0","source":{"id":"2110.14688","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2110.14688","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"arxiv_version","alias_value":"2110.14688v1","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.14688","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_12","alias_value":"LW5N2RR3V5UX","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_16","alias_value":"LW5N2RR3V5UX3HQ4","created_at":"2026-07-05T09:42:16Z"},{"alias_kind":"pith_short_8","alias_value":"LW5N2RR3","created_at":"2026-07-05T09:42:16Z"}],"graph_snapshots":[{"event_id":"sha256:c88187d424da500fd676fae7d31129cb8e86f1e43c9806cc621169c5d35f2680","target":"graph","created_at":"2026-07-05T09:42:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2110.14688/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the full set of beta functions for the marginal essential couplings of projectable Horava gravity in (3 + 1)-dimensional spacetime. To this end we compute the divergent part of the one-loop effective action in static background with arbitrary spatial metric. The computation is done in several steps: reduction of the problem to three dimensions, extraction of an operator square root from the spatial part of the fluctuation operator, and evaluation of its trace using the method of universal functional traces. This provides us with the renormalization of couplings in the potential part ","authors_text":"Alexander V. Kurov, Andrei O. Barvinsky, Sergey M. Sibiryakov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:15:38Z","title":"Beta functions of (3+1)-dimensional projectable Horava gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.14688","kind":"arxiv","version":1},"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":"sha256:804450855e62aff74e8ec7d4c6bcf6367e59ffc9666c2f55d2dedbe38356ba50","target":"record","created_at":"2026-07-05T09:42:16Z","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":"1ecf0b4cbe4e8a69921d4f4d2824566d67a4c951a94515779b03a8f1f4653283","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-10-27T18:15:38Z","title_canon_sha256":"68718171fd9db4b1228d900a5f25f365b2e0cc3cd64fce20c9ed06bfa13b9ba0"},"schema_version":"1.0","source":{"id":"2110.14688","kind":"arxiv","version":1}},"canonical_sha256":"5dbadd463baf697d9e1cbf16e8feeefe5d011ded614a83b1e9e9cebae0aa79e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dbadd463baf697d9e1cbf16e8feeefe5d011ded614a83b1e9e9cebae0aa79e8","first_computed_at":"2026-07-05T09:42:16.957241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:16.957241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zWI/1WrmlN+gelVsP1wLGrwhD2G8ZjwSozOZ5FiiCSmfZyrm+SuuWCmNHk5qbPd798TxkaNThCJ2qwEkbfb0DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:16.957839Z","signed_message":"canonical_sha256_bytes"},"source_id":"2110.14688","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:804450855e62aff74e8ec7d4c6bcf6367e59ffc9666c2f55d2dedbe38356ba50","sha256:c88187d424da500fd676fae7d31129cb8e86f1e43c9806cc621169c5d35f2680"],"state_sha256":"2c3b9b8950e516cb58eeb4015c5e781e0bad51ec15270b093e29f933899f9ac5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gbpKOXObjMIQyy/KeViB92T9vjuGRuzckIsRKTTq+0TCiOIfgj941YXa4kN5gbbpUpU3x+oSsWMgdcNFlbdjDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T23:10:30.463598Z","bundle_sha256":"94e3d4e597b7c4e2ca8cddfcc24becd46a766beec9944cef5b64e5ec0cbbf32e"}}