{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RY4MBVK5S3FYOYE3Z3XN5AXQIP","short_pith_number":"pith:RY4MBVK5","canonical_record":{"source":{"id":"1104.2669","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-04-14T05:47:38Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"e869fbb6031c91ec11aa9407fa5b4c5b44444028eb637414ef011d1e845fc1f5","abstract_canon_sha256":"905bfacaeda93ebd9fe828be1810b8d2efc9177c9f7c87a3613372f1a482901e"},"schema_version":"1.0"},"canonical_sha256":"8e38c0d55d96cb87609bceeede82f043cc315ae959d7d114e9f57456f4a3b42c","source":{"kind":"arxiv","id":"1104.2669","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2669","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2669v2","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2669","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"RY4MBVK5S3FY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RY4MBVK5S3FYOYE3","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RY4MBVK5","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RY4MBVK5S3FYOYE3Z3XN5AXQIP","target":"record","payload":{"canonical_record":{"source":{"id":"1104.2669","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-04-14T05:47:38Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"e869fbb6031c91ec11aa9407fa5b4c5b44444028eb637414ef011d1e845fc1f5","abstract_canon_sha256":"905bfacaeda93ebd9fe828be1810b8d2efc9177c9f7c87a3613372f1a482901e"},"schema_version":"1.0"},"canonical_sha256":"8e38c0d55d96cb87609bceeede82f043cc315ae959d7d114e9f57456f4a3b42c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:23.220726Z","signature_b64":"OaYeHfc05giJKnY9i04DpmOZ0c3gkJV+aVIphLMsN93yisvveGaWuCCDgb0VXo4u3z4Ky3pOAUXOGEz83aCJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e38c0d55d96cb87609bceeede82f043cc315ae959d7d114e9f57456f4a3b42c","last_reissued_at":"2026-05-18T04:18:23.220294Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:23.220294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.2669","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":"2026-05-18T04:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kjh/wdYXNuSRTTWk+n05qJJz1rMsJ9+iHU3Hzu+zc20dRpKZ2ruUUFfXPX6fc8jR/m35nbHL0QG/tvK1TRvPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:05:05.882514Z"},"content_sha256":"f8c6a0639768df4183b5da373ebb1ef5f34aafc9c8e3173e38c043d1ab2d56d3","schema_version":"1.0","event_id":"sha256:f8c6a0639768df4183b5da373ebb1ef5f34aafc9c8e3173e38c043d1ab2d56d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RY4MBVK5S3FYOYE3Z3XN5AXQIP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"f(R,T) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Francisco S.N. Lobo, Sergei D. Odintsov, Shin'ichi Nojiri, Tiberiu Harko","submitted_at":"2011-04-14T05:47:38Z","abstract_excerpt":"We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the metric formalism, as well as the equations of motion for test particles, which follow from the covariant divergence of the stress-energy tensor. Generally, the gravitational field equations depend on the nature of the matter source. The field equations of several particular models, corresponding to some explicit forms of the function f(R,T), are also presente"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2669","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":"2026-05-18T04:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ENEwv3BJJw3OZgvj8GmvD0rWj0VlhHkmGMQF8b7kfEi6ERnTn2LV8CFDn+872IpNBpks98pebBflC7EvnDDIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T07:05:05.882856Z"},"content_sha256":"4e889b432f37cdc3c68c701e2f87d6a45f818fb5e095a028a2b2488510ac23ed","schema_version":"1.0","event_id":"sha256:4e889b432f37cdc3c68c701e2f87d6a45f818fb5e095a028a2b2488510ac23ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/bundle.json","state_url":"https://pith.science/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/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":"2026-06-03T07:05:05Z","links":{"resolver":"https://pith.science/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP","bundle":"https://pith.science/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/bundle.json","state":"https://pith.science/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RY4MBVK5S3FYOYE3Z3XN5AXQIP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RY4MBVK5S3FYOYE3Z3XN5AXQIP","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":"905bfacaeda93ebd9fe828be1810b8d2efc9177c9f7c87a3613372f1a482901e","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-04-14T05:47:38Z","title_canon_sha256":"e869fbb6031c91ec11aa9407fa5b4c5b44444028eb637414ef011d1e845fc1f5"},"schema_version":"1.0","source":{"id":"1104.2669","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.2669","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1104.2669v2","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2669","created_at":"2026-05-18T04:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"RY4MBVK5S3FY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RY4MBVK5S3FYOYE3","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RY4MBVK5","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:4e889b432f37cdc3c68c701e2f87d6a45f818fb5e095a028a2b2488510ac23ed","target":"graph","created_at":"2026-05-18T04:18:23Z","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 consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the metric formalism, as well as the equations of motion for test particles, which follow from the covariant divergence of the stress-energy tensor. Generally, the gravitational field equations depend on the nature of the matter source. The field equations of several particular models, corresponding to some explicit forms of the function f(R,T), are also presente","authors_text":"Francisco S.N. Lobo, Sergei D. Odintsov, Shin'ichi Nojiri, Tiberiu Harko","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-04-14T05:47:38Z","title":"f(R,T) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2669","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:f8c6a0639768df4183b5da373ebb1ef5f34aafc9c8e3173e38c043d1ab2d56d3","target":"record","created_at":"2026-05-18T04:18:23Z","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":"905bfacaeda93ebd9fe828be1810b8d2efc9177c9f7c87a3613372f1a482901e","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-04-14T05:47:38Z","title_canon_sha256":"e869fbb6031c91ec11aa9407fa5b4c5b44444028eb637414ef011d1e845fc1f5"},"schema_version":"1.0","source":{"id":"1104.2669","kind":"arxiv","version":2}},"canonical_sha256":"8e38c0d55d96cb87609bceeede82f043cc315ae959d7d114e9f57456f4a3b42c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e38c0d55d96cb87609bceeede82f043cc315ae959d7d114e9f57456f4a3b42c","first_computed_at":"2026-05-18T04:18:23.220294Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:23.220294Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OaYeHfc05giJKnY9i04DpmOZ0c3gkJV+aVIphLMsN93yisvveGaWuCCDgb0VXo4u3z4Ky3pOAUXOGEz83aCJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:23.220726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.2669","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8c6a0639768df4183b5da373ebb1ef5f34aafc9c8e3173e38c043d1ab2d56d3","sha256:4e889b432f37cdc3c68c701e2f87d6a45f818fb5e095a028a2b2488510ac23ed"],"state_sha256":"2d02eeba817fce065ca6ffe8adf3a6f76598ceca5598bafc635e8efaebb74346"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"18Yoei9TzlB4kbxcan0sln5nsqLua+lUwf7hlAgcjHep99kCIulkJAcvtPWMV9yf6mRcq2Iw2TQl0qatmzPzDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T07:05:05.884820Z","bundle_sha256":"e5c2413c3f8756dd0b1dd1d47740a8ee6401edefe4f82bc56d5a4726e23c885a"}}