{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YO7CGRCFCLAFL6TCLTPILDVJT6","short_pith_number":"pith:YO7CGRCF","canonical_record":{"source":{"id":"1601.00196","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-02T17:47:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"dc7cbb1263418629855b9bcf4ff6e6ce145b514d5b2b1db31cb4121a0ad5fe69","abstract_canon_sha256":"12692975157f03da811fb7bc4b8aac849f79249142c8d9187200451d5bdb9c27"},"schema_version":"1.0"},"canonical_sha256":"c3be23444512c055fa625cde858ea99f8124f1169aec6aa6bb52b7e8a8d6cf24","source":{"kind":"arxiv","id":"1601.00196","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00196","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00196v1","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00196","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"pith_short_12","alias_value":"YO7CGRCFCLAF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YO7CGRCFCLAFL6TC","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YO7CGRCF","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YO7CGRCFCLAFL6TCLTPILDVJT6","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00196","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-02T17:47:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"dc7cbb1263418629855b9bcf4ff6e6ce145b514d5b2b1db31cb4121a0ad5fe69","abstract_canon_sha256":"12692975157f03da811fb7bc4b8aac849f79249142c8d9187200451d5bdb9c27"},"schema_version":"1.0"},"canonical_sha256":"c3be23444512c055fa625cde858ea99f8124f1169aec6aa6bb52b7e8a8d6cf24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:51.010104Z","signature_b64":"ehGR0xvxmcY/dVpUvzXTospi839RypNUNwOD430Fjrcuw5cVUPYbJDYQhisiDAw7h1DDYdgvn7DkLWjA1E0+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3be23444512c055fa625cde858ea99f8124f1169aec6aa6bb52b7e8a8d6cf24","last_reissued_at":"2026-05-18T01:07:51.009551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:51.009551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00196","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":"2026-05-18T01:07:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R2lsmog7bP41XlUzZ+DBrtn1tAryBu0TXuO313QYcjrOV2nIvfET149LxKTHOjUElIStBxpZZEkwP4Lxk1tiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:44:37.759994Z"},"content_sha256":"08a6588206416be25c55b5fc69e902f6d4c54e9e069cabe0c4a6c4d2a0d38eeb","schema_version":"1.0","event_id":"sha256:08a6588206416be25c55b5fc69e902f6d4c54e9e069cabe0c4a6c4d2a0d38eeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YO7CGRCFCLAFL6TCLTPILDVJT6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-Derivative $f(R,\\Box R, T)$ Theories of Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"D. Momeni, M. E. Rodrigues, M. J. S. Houndjo, N.S. Mazhari, R. Myrzakulov","submitted_at":"2016-01-02T17:47:01Z","abstract_excerpt":"In literature there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress-energy momentum tensor $T=T_{\\mu}^{\\mu}$. This type of modified gravity is called as $f(R,T)$ in which $R$ is Ricci scalar $R=R_{\\mu}^{\\mu}$. We extend manifestly this model to include the higher derivative term $\\Box R$. We derived equation of motion (EOM) for the model by starting from the basic variational principle. Later we investigate FLRW cosmology for our model. We show that de Sitter solution is unstable for a generic type of $f(R,\\Box R, T)$ model. Furt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00196","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":""},"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":"2026-05-18T01:07:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vquSlhK46XLE31myNovP7fy8cTfZr0XEVb7zdtpaIy9rMdilfp0FNkV3myy7m+USx0PKlFemQS9Il+QvAvNHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:44:37.760429Z"},"content_sha256":"74049c4f6ea7dba11754c19e9349a00474d548f50df8b37fb08ae7c63e63f2aa","schema_version":"1.0","event_id":"sha256:74049c4f6ea7dba11754c19e9349a00474d548f50df8b37fb08ae7c63e63f2aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/bundle.json","state_url":"https://pith.science/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/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":"2026-05-31T15:44:37Z","links":{"resolver":"https://pith.science/pith/YO7CGRCFCLAFL6TCLTPILDVJT6","bundle":"https://pith.science/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/bundle.json","state":"https://pith.science/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YO7CGRCFCLAFL6TCLTPILDVJT6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YO7CGRCFCLAFL6TCLTPILDVJT6","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":"12692975157f03da811fb7bc4b8aac849f79249142c8d9187200451d5bdb9c27","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-02T17:47:01Z","title_canon_sha256":"dc7cbb1263418629855b9bcf4ff6e6ce145b514d5b2b1db31cb4121a0ad5fe69"},"schema_version":"1.0","source":{"id":"1601.00196","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00196","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00196v1","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00196","created_at":"2026-05-18T01:07:51Z"},{"alias_kind":"pith_short_12","alias_value":"YO7CGRCFCLAF","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YO7CGRCFCLAFL6TC","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YO7CGRCF","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:74049c4f6ea7dba11754c19e9349a00474d548f50df8b37fb08ae7c63e63f2aa","target":"graph","created_at":"2026-05-18T01:07:51Z","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 literature there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress-energy momentum tensor $T=T_{\\mu}^{\\mu}$. This type of modified gravity is called as $f(R,T)$ in which $R$ is Ricci scalar $R=R_{\\mu}^{\\mu}$. We extend manifestly this model to include the higher derivative term $\\Box R$. We derived equation of motion (EOM) for the model by starting from the basic variational principle. Later we investigate FLRW cosmology for our model. We show that de Sitter solution is unstable for a generic type of $f(R,\\Box R, T)$ model. Furt","authors_text":"D. Momeni, M. E. Rodrigues, M. J. S. Houndjo, N.S. Mazhari, R. Myrzakulov","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-02T17:47:01Z","title":"Higher-Derivative $f(R,\\Box R, T)$ Theories of Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00196","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":"sha256:08a6588206416be25c55b5fc69e902f6d4c54e9e069cabe0c4a6c4d2a0d38eeb","target":"record","created_at":"2026-05-18T01:07:51Z","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":"12692975157f03da811fb7bc4b8aac849f79249142c8d9187200451d5bdb9c27","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-01-02T17:47:01Z","title_canon_sha256":"dc7cbb1263418629855b9bcf4ff6e6ce145b514d5b2b1db31cb4121a0ad5fe69"},"schema_version":"1.0","source":{"id":"1601.00196","kind":"arxiv","version":1}},"canonical_sha256":"c3be23444512c055fa625cde858ea99f8124f1169aec6aa6bb52b7e8a8d6cf24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3be23444512c055fa625cde858ea99f8124f1169aec6aa6bb52b7e8a8d6cf24","first_computed_at":"2026-05-18T01:07:51.009551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:51.009551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ehGR0xvxmcY/dVpUvzXTospi839RypNUNwOD430Fjrcuw5cVUPYbJDYQhisiDAw7h1DDYdgvn7DkLWjA1E0+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:51.010104Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00196","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08a6588206416be25c55b5fc69e902f6d4c54e9e069cabe0c4a6c4d2a0d38eeb","sha256:74049c4f6ea7dba11754c19e9349a00474d548f50df8b37fb08ae7c63e63f2aa"],"state_sha256":"6a320db089c2f94728d013ec0eb90f56f327c077e629bb03bcfb04eb10b3b400"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z86+RbYC4SGHjcEbD/QFHS6Hc+4+rqVpI7bsWS5Fy6Je+CJUjZ7e6ULkD/pgv96xBPj6z/JbgI0wi4h1YiTcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:44:37.764038Z","bundle_sha256":"08c86864ae61eb2732f9325f294c988d5e64f83bf155a8304e404d8df320bc0b"}}