{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:657UIMJYK6PUSY7VRGA5YDJUJE","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":"18e268714ec23db9e01a718fdab738dda8d9f6468fa154ee4c18fe11cfc51f46","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-03T08:40:21Z","title_canon_sha256":"d706413f3cbfe80c793efa08141e474d4df6394e99e1f1b48cdadfc765ba720e"},"schema_version":"1.0","source":{"id":"2503.02902","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.02902","created_at":"2026-07-05T10:24:34Z"},{"alias_kind":"arxiv_version","alias_value":"2503.02902v1","created_at":"2026-07-05T10:24:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.02902","created_at":"2026-07-05T10:24:34Z"},{"alias_kind":"pith_short_12","alias_value":"657UIMJYK6PU","created_at":"2026-07-05T10:24:34Z"},{"alias_kind":"pith_short_16","alias_value":"657UIMJYK6PUSY7V","created_at":"2026-07-05T10:24:34Z"},{"alias_kind":"pith_short_8","alias_value":"657UIMJY","created_at":"2026-07-05T10:24:34Z"}],"graph_snapshots":[{"event_id":"sha256:ef0e6e854a746884bd0b657dd7434fec7496674024534171f339a81404263e43","target":"graph","created_at":"2026-07-05T10:24:34Z","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/2503.02902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find an exact static solution in four dimensions to the field equations of the $f(\\mathbb{Q})$ gravity by using a cylindrically static spacetime with two different ansatz, $\\nu(r)$ and $\\mu(r)$. This solution is derived without imposing any conditions on $f(\\mathbb{Q})$. The black hole solution involves four constants: $c_1$, $c_2$, $c_3$, and $c_4$. Among these, $c_1$ is linked to the cosmological constant, $c_2$ to the black hole's mass, while $c_3$ and $c_4$ are responsible for the deviation of the solution from the linear form of $f(\\mathbb{Q})$. We demonstrate how the analytical functi","authors_text":"G.G.L. Nashed","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-03T08:40:21Z","title":"General form of the function $f(\\mathbb{Q})$ using cylindrically static spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.02902","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:d9210d9764cba66f9bbdb36696f93292783e0676f8b999268843766d4fa87e70","target":"record","created_at":"2026-07-05T10:24:34Z","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":"18e268714ec23db9e01a718fdab738dda8d9f6468fa154ee4c18fe11cfc51f46","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-03-03T08:40:21Z","title_canon_sha256":"d706413f3cbfe80c793efa08141e474d4df6394e99e1f1b48cdadfc765ba720e"},"schema_version":"1.0","source":{"id":"2503.02902","kind":"arxiv","version":1}},"canonical_sha256":"f77f443138579f4963f58981dc0d34493416ebffd6627fdd3b97bdfb6c29b3b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f77f443138579f4963f58981dc0d34493416ebffd6627fdd3b97bdfb6c29b3b7","first_computed_at":"2026-07-05T10:24:34.115237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:24:34.115237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GslrVHkxYctuQn2fXeSoXVync+YQWFHi4h8bkyVymkgUsfkyVVC84alBMhfdlEeCg2WAjY1wA+ODdNn5gTdfBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:24:34.116133Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.02902","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9210d9764cba66f9bbdb36696f93292783e0676f8b999268843766d4fa87e70","sha256:ef0e6e854a746884bd0b657dd7434fec7496674024534171f339a81404263e43"],"state_sha256":"a1af5f16fb11fe479dc99197df7ff6ae71c4f07a7731ed3f1f8fb744f880f82d"}