{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:YPVOLYZXY7475U2PWONYG2O2QT","short_pith_number":"pith:YPVOLYZX","canonical_record":{"source":{"id":"2305.01331","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2023-05-02T11:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"c33511c2ce6ee1e9583a6dbc92b7ef10201a0163f47c123bf93ab4208e8b569d","abstract_canon_sha256":"56e99a87002552f9a5fe3a4d28f0db15050e7cbfa1b15a5aa7f075098112fec5"},"schema_version":"1.0"},"canonical_sha256":"c3eae5e337c7f9fed34fb39b8369da84f56caad97b51a5056b84b4fd1ea7351f","source":{"kind":"arxiv","id":"2305.01331","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.01331","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"arxiv_version","alias_value":"2305.01331v1","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01331","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_12","alias_value":"YPVOLYZXY747","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_16","alias_value":"YPVOLYZXY7475U2P","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_8","alias_value":"YPVOLYZX","created_at":"2026-07-05T06:11:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:YPVOLYZXY7475U2PWONYG2O2QT","target":"record","payload":{"canonical_record":{"source":{"id":"2305.01331","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2023-05-02T11:27:05Z","cross_cats_sorted":[],"title_canon_sha256":"c33511c2ce6ee1e9583a6dbc92b7ef10201a0163f47c123bf93ab4208e8b569d","abstract_canon_sha256":"56e99a87002552f9a5fe3a4d28f0db15050e7cbfa1b15a5aa7f075098112fec5"},"schema_version":"1.0"},"canonical_sha256":"c3eae5e337c7f9fed34fb39b8369da84f56caad97b51a5056b84b4fd1ea7351f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:11:20.621785Z","signature_b64":"IcCsJwXchAkH8kPswtksG46czV0Nr7LDIkNkAjnQC1SP5Jrua/IJ3CV/0696gdCeqtdYwEVBphyerO33JeKbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3eae5e337c7f9fed34fb39b8369da84f56caad97b51a5056b84b4fd1ea7351f","last_reissued_at":"2026-07-05T06:11:20.621402Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:11:20.621402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.01331","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":"2026-07-05T06:11:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9vsx2RugTlo5qvwMwearZD/gTfrciHiJTq+RW+asvCvxJ2VkXyhMDOlLIT4f9hIMjbum4NTK2Utv0OFFr1bWCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:42:21.529221Z"},"content_sha256":"ca0301f33871cff479f3633e26319a231b804c2e6c119a58921ff17ef7cb344d","schema_version":"1.0","event_id":"sha256:ca0301f33871cff479f3633e26319a231b804c2e6c119a58921ff17ef7cb344d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:YPVOLYZXY7475U2PWONYG2O2QT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On 1 + 3 covariant perturbations of the quasi-Newtonian space-time in modified Gauss-Bonnet gravity","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Albert Munyeshyaka, Joseph Ntahompagaze, Manasse.R Mbonye, Tom Mutabazi","submitted_at":"2023-05-02T11:27:05Z","abstract_excerpt":"The consideration of a 1 + 3 covariant approach to cold dark matter universe with no shear cosmological dust model with irrotational flows is developed in the context of f (G) gravity theory in the present study. This approach reveals the existence of integrability conditions which do not appear in non-covariant treatments. We constructed the integrability conditions in modified Gauss-Bonnet f (G) gravity basing on the constraints and propagation equations. These integrability conditions reveal the linearized silent nature of quasi-Newtonian models in f (G) gravity. Finally, the linear equatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01331","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/2305.01331/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":"2026-07-05T06:11:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9WY6A2x1F0XGww7mGmszQuvcQg82fVuslSNrnUC+4n2FxkUFAHYYPPCocQlOeinIe9PjUJBy4vq6Gk/FyK7HBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T13:42:21.532759Z"},"content_sha256":"69482b9c3ca5cafce3df3df9faa02f7971cf1b947cec6cc634d6f25a0c6cd501","schema_version":"1.0","event_id":"sha256:69482b9c3ca5cafce3df3df9faa02f7971cf1b947cec6cc634d6f25a0c6cd501"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPVOLYZXY7475U2PWONYG2O2QT/bundle.json","state_url":"https://pith.science/pith/YPVOLYZXY7475U2PWONYG2O2QT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPVOLYZXY7475U2PWONYG2O2QT/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":"2026-08-13T13:42:21Z","links":{"resolver":"https://pith.science/pith/YPVOLYZXY7475U2PWONYG2O2QT","bundle":"https://pith.science/pith/YPVOLYZXY7475U2PWONYG2O2QT/bundle.json","state":"https://pith.science/pith/YPVOLYZXY7475U2PWONYG2O2QT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPVOLYZXY7475U2PWONYG2O2QT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YPVOLYZXY7475U2PWONYG2O2QT","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":"56e99a87002552f9a5fe3a4d28f0db15050e7cbfa1b15a5aa7f075098112fec5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2023-05-02T11:27:05Z","title_canon_sha256":"c33511c2ce6ee1e9583a6dbc92b7ef10201a0163f47c123bf93ab4208e8b569d"},"schema_version":"1.0","source":{"id":"2305.01331","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.01331","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"arxiv_version","alias_value":"2305.01331v1","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.01331","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_12","alias_value":"YPVOLYZXY747","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_16","alias_value":"YPVOLYZXY7475U2P","created_at":"2026-07-05T06:11:20Z"},{"alias_kind":"pith_short_8","alias_value":"YPVOLYZX","created_at":"2026-07-05T06:11:20Z"}],"graph_snapshots":[{"event_id":"sha256:69482b9c3ca5cafce3df3df9faa02f7971cf1b947cec6cc634d6f25a0c6cd501","target":"graph","created_at":"2026-07-05T06:11:20Z","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/2305.01331/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The consideration of a 1 + 3 covariant approach to cold dark matter universe with no shear cosmological dust model with irrotational flows is developed in the context of f (G) gravity theory in the present study. This approach reveals the existence of integrability conditions which do not appear in non-covariant treatments. We constructed the integrability conditions in modified Gauss-Bonnet f (G) gravity basing on the constraints and propagation equations. These integrability conditions reveal the linearized silent nature of quasi-Newtonian models in f (G) gravity. Finally, the linear equatio","authors_text":"Albert Munyeshyaka, Joseph Ntahompagaze, Manasse.R Mbonye, Tom Mutabazi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2023-05-02T11:27:05Z","title":"On 1 + 3 covariant perturbations of the quasi-Newtonian space-time in modified Gauss-Bonnet gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.01331","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:ca0301f33871cff479f3633e26319a231b804c2e6c119a58921ff17ef7cb344d","target":"record","created_at":"2026-07-05T06:11:20Z","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":"56e99a87002552f9a5fe3a4d28f0db15050e7cbfa1b15a5aa7f075098112fec5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2023-05-02T11:27:05Z","title_canon_sha256":"c33511c2ce6ee1e9583a6dbc92b7ef10201a0163f47c123bf93ab4208e8b569d"},"schema_version":"1.0","source":{"id":"2305.01331","kind":"arxiv","version":1}},"canonical_sha256":"c3eae5e337c7f9fed34fb39b8369da84f56caad97b51a5056b84b4fd1ea7351f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3eae5e337c7f9fed34fb39b8369da84f56caad97b51a5056b84b4fd1ea7351f","first_computed_at":"2026-07-05T06:11:20.621402Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:11:20.621402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IcCsJwXchAkH8kPswtksG46czV0Nr7LDIkNkAjnQC1SP5Jrua/IJ3CV/0696gdCeqtdYwEVBphyerO33JeKbCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:11:20.621785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.01331","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca0301f33871cff479f3633e26319a231b804c2e6c119a58921ff17ef7cb344d","sha256:69482b9c3ca5cafce3df3df9faa02f7971cf1b947cec6cc634d6f25a0c6cd501"],"state_sha256":"85458ca84d7068afd28059be4b0140e7c370df511bcd178233a9496b05556116"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTfsWxnKQl/7112DzzktuklaSYZx7esVs5wlUQAMGTEi6xMNbC7bel6F1hv3Vj5+7D4jy0Qu22xm4AkcvOZSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T13:42:21.542571Z","bundle_sha256":"792dae6205fae52c752d03d4fdeb167334f37ed2bc2b43068869119148ce1778"}}