{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M6XRJBPXWJWA22U3UR4RX6AMHZ","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":"9ea84ebf2983356f7c645ed8b071e5e9e799043c22bd36df4fa6d89d476d561c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-17T20:03:10Z","title_canon_sha256":"e0e6ed2b0fd78ed2f1b041ea31c839a677134d08dfe46fa5a8b6e9e57e7aa353"},"schema_version":"1.0","source":{"id":"2606.19563","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19563","created_at":"2026-06-19T16:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19563v1","created_at":"2026-06-19T16:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19563","created_at":"2026-06-19T16:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"M6XRJBPXWJWA","created_at":"2026-06-19T16:12:29Z"},{"alias_kind":"pith_short_16","alias_value":"M6XRJBPXWJWA22U3","created_at":"2026-06-19T16:12:29Z"},{"alias_kind":"pith_short_8","alias_value":"M6XRJBPX","created_at":"2026-06-19T16:12:29Z"}],"graph_snapshots":[{"event_id":"sha256:7daa01744b08234f9ca4e1d85801e94ce0f4144eaecabf0cea550382165fe26e","target":"graph","created_at":"2026-06-19T16:12:29Z","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/2606.19563/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a $q$-deformed extension of Brans-Dicke gravity in a spatially flat Friedmann-Lema\\^itre-Robertson-Walker space-time. The deformation enters through a coupling function that modifies the effective gravitational strength and leads to generalized Friedmann equations. In the matter-free sector, we obtain exact analytic solutions for the scale factor and the Brans-Dicke scalar field, and recast the scalar contribution as an effective fluid. We show that the corresponding equation-of-state parameter and the deceleration parameter are constants and depend only on the Brans-Dicke coupling $\\","authors_text":"Mustafa Senay, Salih Kibaro\\u{g}lu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-17T20:03:10Z","title":"Exact vacuum FLRW solutions in $q$-deformed Brans-Dicke cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19563","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:a739972a15e488e0cdb511182ca57982a7004f90d34fc24dbc856a8a907d2bad","target":"record","created_at":"2026-06-19T16:12:29Z","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":"9ea84ebf2983356f7c645ed8b071e5e9e799043c22bd36df4fa6d89d476d561c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-17T20:03:10Z","title_canon_sha256":"e0e6ed2b0fd78ed2f1b041ea31c839a677134d08dfe46fa5a8b6e9e57e7aa353"},"schema_version":"1.0","source":{"id":"2606.19563","kind":"arxiv","version":1}},"canonical_sha256":"67af1485f7b26c0d6a9ba4791bf80c3e709b58f291e2e87b53324309e6cd3a73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67af1485f7b26c0d6a9ba4791bf80c3e709b58f291e2e87b53324309e6cd3a73","first_computed_at":"2026-06-19T16:12:29.001518Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:29.001518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A68sFnqCMbyOx7KbMk8eIWD6I+uiDJ1ZS8+kXqqgmNJEYsiXxlaWkyJQUquZCAMg8Rx91kiarHIvJzr8o30dBg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:29.001866Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19563","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a739972a15e488e0cdb511182ca57982a7004f90d34fc24dbc856a8a907d2bad","sha256:7daa01744b08234f9ca4e1d85801e94ce0f4144eaecabf0cea550382165fe26e"],"state_sha256":"5863a9854d2941fb84fb850c6f42d52373562f28e68540c330bad6afd9134467"}