{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GORO7NQHOPRCUPOAGIOUTMUPXW","short_pith_number":"pith:GORO7NQH","canonical_record":{"source":{"id":"1008.3637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-21T15:05:35Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"482251d5cc4ddd4e485d1a59060acba742c8197ac2d28484610c033d8205e508","abstract_canon_sha256":"cf67a73ca06f2937401efba5bdbd6cdf2eda3d6cd2664861d0a9b7278bf18c08"},"schema_version":"1.0"},"canonical_sha256":"33a2efb60773e22a3dc0321d49b28fbd98050ed6c3fc2f380e92fd22f4d99ffa","source":{"kind":"arxiv","id":"1008.3637","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3637","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3637v2","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3637","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"pith_short_12","alias_value":"GORO7NQHOPRC","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GORO7NQHOPRCUPOA","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GORO7NQH","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GORO7NQHOPRCUPOAGIOUTMUPXW","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3637","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-21T15:05:35Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"482251d5cc4ddd4e485d1a59060acba742c8197ac2d28484610c033d8205e508","abstract_canon_sha256":"cf67a73ca06f2937401efba5bdbd6cdf2eda3d6cd2664861d0a9b7278bf18c08"},"schema_version":"1.0"},"canonical_sha256":"33a2efb60773e22a3dc0321d49b28fbd98050ed6c3fc2f380e92fd22f4d99ffa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:14.086073Z","signature_b64":"fCvdUuLWG/6er7Tk/UKqt87q3KnmnZlW+a2rRYCzZa6Ku1ueCNHDL0IzBtaAJg3ea+bJRxcgT04r9gaGqEVtCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33a2efb60773e22a3dc0321d49b28fbd98050ed6c3fc2f380e92fd22f4d99ffa","last_reissued_at":"2026-05-18T04:30:14.085514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:14.085514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3637","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":"2026-05-18T04:30:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9oW+Jq3pAMEyg9OzIkazDqlEXW4kPa4fbGEjboFAtoS0IRQnUYC7MgNC/fUNgHDwTcaFcvUisWZjMSeN7MV4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:02:56.827811Z"},"content_sha256":"c5e54419e1b513bf3ee280b26cebcfb0964ddf0853de43bfb465e5061ab81014","schema_version":"1.0","event_id":"sha256:c5e54419e1b513bf3ee280b26cebcfb0964ddf0853de43bfb465e5061ab81014"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GORO7NQHOPRCUPOAGIOUTMUPXW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vector and tensor perturbations in Horava-Lifshitz cosmology","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":"Anzhong Wang","submitted_at":"2010-08-21T15:05:35Z","abstract_excerpt":"We study cosmological vector and tensor perturbations in Horava-Lifshitz gravity, adopting the most general Sotiriou-Visser-Weinfurtner generalization without the detailed balance but with projectability condition. After deriving the general formulas in a flat FRW background, we find that the vector perturbations are identical to those given in general relativity. This is true also in the non-flat cases. For the tensor perturbations, high order derivatives of the curvatures produce effectively an anisotropic stress, which could have significant efforts on the high-frequency modes of gravitatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3637","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":"2026-05-18T04:30:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tT51nH7vVZPt5LsKfHirI1onfYdIdyjHSqaQxAzxykawx9gn4tnZrXXKJGee0Wcz8K0JyvKYW17ugRl7bd2AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:02:56.828476Z"},"content_sha256":"f28dadbd291267c258f960db9b15b480b3fc9943812c3f501d26896c56e66264","schema_version":"1.0","event_id":"sha256:f28dadbd291267c258f960db9b15b480b3fc9943812c3f501d26896c56e66264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/bundle.json","state_url":"https://pith.science/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/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":"2026-05-25T12:02:56Z","links":{"resolver":"https://pith.science/pith/GORO7NQHOPRCUPOAGIOUTMUPXW","bundle":"https://pith.science/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/bundle.json","state":"https://pith.science/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GORO7NQHOPRCUPOAGIOUTMUPXW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GORO7NQHOPRCUPOAGIOUTMUPXW","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":"cf67a73ca06f2937401efba5bdbd6cdf2eda3d6cd2664861d0a9b7278bf18c08","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":"2010-08-21T15:05:35Z","title_canon_sha256":"482251d5cc4ddd4e485d1a59060acba742c8197ac2d28484610c033d8205e508"},"schema_version":"1.0","source":{"id":"1008.3637","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3637","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3637v2","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3637","created_at":"2026-05-18T04:30:14Z"},{"alias_kind":"pith_short_12","alias_value":"GORO7NQHOPRC","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GORO7NQHOPRCUPOA","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GORO7NQH","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:f28dadbd291267c258f960db9b15b480b3fc9943812c3f501d26896c56e66264","target":"graph","created_at":"2026-05-18T04:30:14Z","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 study cosmological vector and tensor perturbations in Horava-Lifshitz gravity, adopting the most general Sotiriou-Visser-Weinfurtner generalization without the detailed balance but with projectability condition. After deriving the general formulas in a flat FRW background, we find that the vector perturbations are identical to those given in general relativity. This is true also in the non-flat cases. For the tensor perturbations, high order derivatives of the curvatures produce effectively an anisotropic stress, which could have significant efforts on the high-frequency modes of gravitatio","authors_text":"Anzhong Wang","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":"2010-08-21T15:05:35Z","title":"Vector and tensor perturbations in Horava-Lifshitz cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3637","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:c5e54419e1b513bf3ee280b26cebcfb0964ddf0853de43bfb465e5061ab81014","target":"record","created_at":"2026-05-18T04:30:14Z","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":"cf67a73ca06f2937401efba5bdbd6cdf2eda3d6cd2664861d0a9b7278bf18c08","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":"2010-08-21T15:05:35Z","title_canon_sha256":"482251d5cc4ddd4e485d1a59060acba742c8197ac2d28484610c033d8205e508"},"schema_version":"1.0","source":{"id":"1008.3637","kind":"arxiv","version":2}},"canonical_sha256":"33a2efb60773e22a3dc0321d49b28fbd98050ed6c3fc2f380e92fd22f4d99ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33a2efb60773e22a3dc0321d49b28fbd98050ed6c3fc2f380e92fd22f4d99ffa","first_computed_at":"2026-05-18T04:30:14.085514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:14.085514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fCvdUuLWG/6er7Tk/UKqt87q3KnmnZlW+a2rRYCzZa6Ku1ueCNHDL0IzBtaAJg3ea+bJRxcgT04r9gaGqEVtCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:14.086073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3637","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5e54419e1b513bf3ee280b26cebcfb0964ddf0853de43bfb465e5061ab81014","sha256:f28dadbd291267c258f960db9b15b480b3fc9943812c3f501d26896c56e66264"],"state_sha256":"b06fa7bbe38ab90bbd20e0979d7bf9113b5e23c76aa1f536210abb028a654d66"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NFBOIFp0bsplb/J3i2qvQvrJCt631kXz0qW8HdNf6swuWQpSrlIGUULOxL1I672OUTtrli5cr0m886dLzz8dBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:02:56.832137Z","bundle_sha256":"acab29269c552f71345a2e144c7b412ef828b4bc1453c41751f5c76fc0623663"}}