{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:JFOWAZT5YJ6HCYBCMB4QMJUVDQ","short_pith_number":"pith:JFOWAZT5","schema_version":"1.0","canonical_sha256":"495d60667dc27c71602260790626951c05bce24090d1ea3a379e39c9ab5d3af6","source":{"kind":"arxiv","id":"2108.01970","version":2},"attestation_state":"computed","paper":{"title":"Quantum Cosmology in $f(Q)$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. Paliathanasis, N. Dimakis, T. Christodoulakis","submitted_at":"2021-08-04T11:23:17Z","abstract_excerpt":"We use Dirac's method for the quantization of constrained systems in order to quantize a spatially flat Friedmann-Lema\\^{i}tre-Robertson-Walker spacetime in the context of $f(Q)$ cosmology. When the coincident gauge is considered, the resulting minisuperspace system possesses second class constraints. This distinguishes the quantization process from the typical Wheeler-DeWitt quantization, which is applied for cosmological models where only first class constraints are present (e.g. for models in General Relativity or in $f(R)$ gravity). We introduce the Dirac brackets, find appropriate canonic"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2108.01970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-08-04T11:23:17Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8a44def388ee3c218801b735bdf2807f24a3375f7219d2848dd23a2ac7a92a9f","abstract_canon_sha256":"3e157a99544b82f12101efc97a3f7db6212bb2e70cf8e9c3e1ccbbc80a8990eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:24:12.698090Z","signature_b64":"rUh+uqAk/+LqcxbjOnNvB0X7Plm9U3OCM6bYVVqVNY5boZwXBpujRVE8Sa/YTD++ed/1BM6HXJsKIM745wEiDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"495d60667dc27c71602260790626951c05bce24090d1ea3a379e39c9ab5d3af6","last_reissued_at":"2026-07-05T03:24:12.697685Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:24:12.697685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Cosmology in $f(Q)$ theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. Paliathanasis, N. Dimakis, T. Christodoulakis","submitted_at":"2021-08-04T11:23:17Z","abstract_excerpt":"We use Dirac's method for the quantization of constrained systems in order to quantize a spatially flat Friedmann-Lema\\^{i}tre-Robertson-Walker spacetime in the context of $f(Q)$ cosmology. When the coincident gauge is considered, the resulting minisuperspace system possesses second class constraints. This distinguishes the quantization process from the typical Wheeler-DeWitt quantization, which is applied for cosmological models where only first class constraints are present (e.g. for models in General Relativity or in $f(R)$ gravity). We introduce the Dirac brackets, find appropriate canonic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.01970","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.01970/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2108.01970","created_at":"2026-07-05T03:24:12.697741+00:00"},{"alias_kind":"arxiv_version","alias_value":"2108.01970v2","created_at":"2026-07-05T03:24:12.697741+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.01970","created_at":"2026-07-05T03:24:12.697741+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFOWAZT5YJ6H","created_at":"2026-07-05T03:24:12.697741+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFOWAZT5YJ6HCYBC","created_at":"2026-07-05T03:24:12.697741+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFOWAZT5","created_at":"2026-07-05T03:24:12.697741+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2506.10046","citing_title":"3-dimensional charged black holes in $f({Q})$ gravity","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05311","citing_title":"Canonical quantization of all minisuperspaces with consistent symmetry reductions","ref_index":109,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11865","citing_title":"Beyond the Cosmological Constant: Breaking the Geometric Degeneracy of $ f(Q) $ cosmology via Redshift-Space Distortions","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05311","citing_title":"Canonical quantization of all minisuperspaces with consistent symmetry reductions","ref_index":109,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ","json":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ.json","graph_json":"https://pith.science/api/pith-number/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/graph.json","events_json":"https://pith.science/api/pith-number/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/events.json","paper":"https://pith.science/paper/JFOWAZT5"},"agent_actions":{"view_html":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ","download_json":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ.json","view_paper":"https://pith.science/paper/JFOWAZT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2108.01970&json=true","fetch_graph":"https://pith.science/api/pith-number/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/graph.json","fetch_events":"https://pith.science/api/pith-number/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/action/storage_attestation","attest_author":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/action/author_attestation","sign_citation":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/action/citation_signature","submit_replication":"https://pith.science/pith/JFOWAZT5YJ6HCYBCMB4QMJUVDQ/action/replication_record"}},"created_at":"2026-07-05T03:24:12.697741+00:00","updated_at":"2026-07-05T03:24:12.697741+00:00"}