{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:Y6KUNXQNZ5P3YMLEJNKBQMKJRU","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":"f00fb65f536f6a9ac63f8635a625d9c2a9c051710a049e39b151ec671103fc11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-01-08T18:38:50Z","title_canon_sha256":"b3280576c2de6a84afe1471d470b139b62d749032f9b37507654d42c18d025df"},"schema_version":"1.0","source":{"id":"2401.04084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.04084","created_at":"2026-07-05T09:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"2401.04084v1","created_at":"2026-07-05T09:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.04084","created_at":"2026-07-05T09:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"Y6KUNXQNZ5P3","created_at":"2026-07-05T09:08:46Z"},{"alias_kind":"pith_short_16","alias_value":"Y6KUNXQNZ5P3YMLE","created_at":"2026-07-05T09:08:46Z"},{"alias_kind":"pith_short_8","alias_value":"Y6KUNXQN","created_at":"2026-07-05T09:08:46Z"}],"graph_snapshots":[{"event_id":"sha256:4137af064b744342003a6a154f21be47232b561df8031eb0f89260afacfb1d6a","target":"graph","created_at":"2026-07-05T09:08:46Z","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/2401.04084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this study, we present a novel approach to mimetic gravity incorporating a non-zero nonmetricity tensor with vanishing torsion and curvature, establishing a generalized mimetic-$f(Q)$ gravity framework. Using the Lagrange multiplier method, we have obtained and discussed characteristics of the theory's field equations. In order to study cosmic evolution given by the hybrid scale factor, we implemented the reconstruction method in two different ways. In the first case, we have obtained corresponding Lagrange multiplier $\\eta$ and potential $U$ for the specific $f(Q)=f(Q)=Q-6\\lambda M^2\\big(\\","authors_text":"Adam Z. Kaczmarek","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-01-08T18:38:50Z","title":"Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.04084","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:a0d9883f3762b07b8d3f3bbf0bbdf68e067b1c82f0ab7603523f533a810a0ca3","target":"record","created_at":"2026-07-05T09:08:46Z","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":"f00fb65f536f6a9ac63f8635a625d9c2a9c051710a049e39b151ec671103fc11","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-01-08T18:38:50Z","title_canon_sha256":"b3280576c2de6a84afe1471d470b139b62d749032f9b37507654d42c18d025df"},"schema_version":"1.0","source":{"id":"2401.04084","kind":"arxiv","version":1}},"canonical_sha256":"c79546de0dcf5fbc31644b541831498d2052becf55bdbf2f3d728eac96b37613","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c79546de0dcf5fbc31644b541831498d2052becf55bdbf2f3d728eac96b37613","first_computed_at":"2026-07-05T09:08:46.919256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:08:46.919256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Lx96BIdQYC17kEkmu/a1EGdJETPhxoElbL9Ok1rNFKwlSza0sPuv5vfVpSNMdi8yuQhy53NnzWShgGODy2IDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:08:46.919785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.04084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d9883f3762b07b8d3f3bbf0bbdf68e067b1c82f0ab7603523f533a810a0ca3","sha256:4137af064b744342003a6a154f21be47232b561df8031eb0f89260afacfb1d6a"],"state_sha256":"5a5d90443747efca77fc277483e47af97696a1c05959ae624b805e998f26f2bc"}