{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3MZVRO4K2I5BRKZJVBQXYSDAWW","short_pith_number":"pith:3MZVRO4K","canonical_record":{"source":{"id":"1706.08842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-24T10:50:05Z","cross_cats_sorted":[],"title_canon_sha256":"18dd1880046d9cd307ed01ce773ac30a140c9d5cb3d5595477ca1cadc1c26f9f","abstract_canon_sha256":"9524c3ad0b608b9e0fb1b06777727a0fdef03db8d24d98c799a3106e0e882ca8"},"schema_version":"1.0"},"canonical_sha256":"db3358bb8ad23a18ab29a8617c4860b58e31f26688f5a1c78e86b076d4edc5bd","source":{"kind":"arxiv","id":"1706.08842","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08842","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08842v1","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08842","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"3MZVRO4K2I5B","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3MZVRO4K2I5BRKZJ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3MZVRO4K","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3MZVRO4K2I5BRKZJVBQXYSDAWW","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-24T10:50:05Z","cross_cats_sorted":[],"title_canon_sha256":"18dd1880046d9cd307ed01ce773ac30a140c9d5cb3d5595477ca1cadc1c26f9f","abstract_canon_sha256":"9524c3ad0b608b9e0fb1b06777727a0fdef03db8d24d98c799a3106e0e882ca8"},"schema_version":"1.0"},"canonical_sha256":"db3358bb8ad23a18ab29a8617c4860b58e31f26688f5a1c78e86b076d4edc5bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:03.544465Z","signature_b64":"zuy4x4G0MCeZZPpx2wlB9yEA6AhrcUPrhmAhk4DeoKOSxTED5Rz8HH2tALPBNA5UYFHtOmmJLBqwQylu8fn5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db3358bb8ad23a18ab29a8617c4860b58e31f26688f5a1c78e86b076d4edc5bd","last_reissued_at":"2026-05-18T00:30:03.543903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:03.543903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08842","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":"2026-05-18T00:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UlPYa9SARg0TKagO6QCNxl44fofTVk0nRKs8tF/lmHKcbEU0+658C0Q72XY8utu3F5DspWV+rLcBi+JHcN4EBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:55.755217Z"},"content_sha256":"f99c8a3a9a7baeca44d2b74880ffb95e6329a8b101d62a9e76a0175eb5f7037f","schema_version":"1.0","event_id":"sha256:f99c8a3a9a7baeca44d2b74880ffb95e6329a8b101d62a9e76a0175eb5f7037f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3MZVRO4K2I5BRKZJVBQXYSDAWW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Late time cosmological approach in mimetic $f(R,T)$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"E. H. Baffou, F. G. Alvarenga, M. Hamani-Daouda, M. J. S. Houndjo","submitted_at":"2017-06-24T10:50:05Z","abstract_excerpt":"In this paper, we investigate the late-time cosmic acceleration in mimetic $f(R,T)$ gravity with Lagrange multiplier and potential in a Universe containing, besides radiation and dark energy, a self-interacting (collisional) matter. We obtain through the modified Friedmann equations, the main equation that can describe the cosmological evolution and with several models from $Q(z)$ and the well known particular model $f(R, T)$, we perform an analysis of the late-time evolution. We examine the behavior of the Hubble parameter, the dark energy equation of state and the total effective equation of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08842","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":"2026-05-18T00:30:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D0Gk6WcqwHk8JbOTdsN4Vz7niDUxRb6cwb2BKw1SXkS70NlSKPi4bW4bvf2wcysQF2MzlgYPKNoUEnZHbGWzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:08:55.755834Z"},"content_sha256":"9fa159dfd02e4780776773e0add363d1653dd1942ebc9ace4c2626d57d7ab407","schema_version":"1.0","event_id":"sha256:9fa159dfd02e4780776773e0add363d1653dd1942ebc9ace4c2626d57d7ab407"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/bundle.json","state_url":"https://pith.science/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/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":"2026-06-07T23:08:55Z","links":{"resolver":"https://pith.science/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW","bundle":"https://pith.science/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/bundle.json","state":"https://pith.science/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3MZVRO4K2I5BRKZJVBQXYSDAWW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3MZVRO4K2I5BRKZJVBQXYSDAWW","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":"9524c3ad0b608b9e0fb1b06777727a0fdef03db8d24d98c799a3106e0e882ca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-24T10:50:05Z","title_canon_sha256":"18dd1880046d9cd307ed01ce773ac30a140c9d5cb3d5595477ca1cadc1c26f9f"},"schema_version":"1.0","source":{"id":"1706.08842","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08842","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08842v1","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08842","created_at":"2026-05-18T00:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"3MZVRO4K2I5B","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3MZVRO4K2I5BRKZJ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3MZVRO4K","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:9fa159dfd02e4780776773e0add363d1653dd1942ebc9ace4c2626d57d7ab407","target":"graph","created_at":"2026-05-18T00:30:03Z","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 this paper, we investigate the late-time cosmic acceleration in mimetic $f(R,T)$ gravity with Lagrange multiplier and potential in a Universe containing, besides radiation and dark energy, a self-interacting (collisional) matter. We obtain through the modified Friedmann equations, the main equation that can describe the cosmological evolution and with several models from $Q(z)$ and the well known particular model $f(R, T)$, we perform an analysis of the late-time evolution. We examine the behavior of the Hubble parameter, the dark energy equation of state and the total effective equation of","authors_text":"E. H. Baffou, F. G. Alvarenga, M. Hamani-Daouda, M. J. S. Houndjo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-24T10:50:05Z","title":"Late time cosmological approach in mimetic $f(R,T)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08842","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:f99c8a3a9a7baeca44d2b74880ffb95e6329a8b101d62a9e76a0175eb5f7037f","target":"record","created_at":"2026-05-18T00:30:03Z","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":"9524c3ad0b608b9e0fb1b06777727a0fdef03db8d24d98c799a3106e0e882ca8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-06-24T10:50:05Z","title_canon_sha256":"18dd1880046d9cd307ed01ce773ac30a140c9d5cb3d5595477ca1cadc1c26f9f"},"schema_version":"1.0","source":{"id":"1706.08842","kind":"arxiv","version":1}},"canonical_sha256":"db3358bb8ad23a18ab29a8617c4860b58e31f26688f5a1c78e86b076d4edc5bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db3358bb8ad23a18ab29a8617c4860b58e31f26688f5a1c78e86b076d4edc5bd","first_computed_at":"2026-05-18T00:30:03.543903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:03.543903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zuy4x4G0MCeZZPpx2wlB9yEA6AhrcUPrhmAhk4DeoKOSxTED5Rz8HH2tALPBNA5UYFHtOmmJLBqwQylu8fn5AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:03.544465Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08842","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f99c8a3a9a7baeca44d2b74880ffb95e6329a8b101d62a9e76a0175eb5f7037f","sha256:9fa159dfd02e4780776773e0add363d1653dd1942ebc9ace4c2626d57d7ab407"],"state_sha256":"cf157208c03e5558940e447ebc4acf799575bfe734e8349e910a88874a907751"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krw83GpWmMJB07pPjDl+no4TPsQCGLeuT8qWbVz2yXYwfjquU8nrg2VIFQmd7RTlNoYN5Om2EE1I+4X5JrM1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:08:55.760756Z","bundle_sha256":"2e721d4d2b3f631d3035ddcf84c43e6086ac27c6643f7ff715e2dcfdb63d0228"}}