{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:CVC2WF3SGIV6EVEW6GNLMDKZRC","short_pith_number":"pith:CVC2WF3S","schema_version":"1.0","canonical_sha256":"1545ab1772322be25496f19ab60d5988b45ec08bcdeae60c6c198a9081db50c6","source":{"kind":"arxiv","id":"2101.01606","version":1},"attestation_state":"computed","paper":{"title":"Integrability and Cosmological Solutions in Einstein-aether-Weyl theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Andronikos Paliathanasis (DUT, Durban), Genly Leon (Catolica del Norte U.)","submitted_at":"2021-01-05T15:47:54Z","abstract_excerpt":"We consider a Lorentz violating scalar field cosmological model given by the modified Einstein-aether theory defined in Weyl integrable geometry. The existence of exact and analytic solutions is investigated for the case of a spatially flat Friedmann--Lema\\^{\\i}tre--Robertson--Walker background space. We show that the theory admits cosmological solutions of special interests. In addition, we prove that the cosmological field equations admit the Lewis invariant as a second conservation law, which indicates the integrability of the field equations."},"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":"2101.01606","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2021-01-05T15:47:54Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"203a4e5db34dfdfecfdb003d40112de0f382fa731b13dc6e2c667a1f01c82f7b","abstract_canon_sha256":"f4da81847bed0a818a39b974346aa9256dadd23b23c29feae57a9252355f2d4f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:29:40.705045Z","signature_b64":"hiC2tZPGRt+mfKGfYaw2VwOO8J6XG1DBqvSoc1iMZn6XfM0SXKus2ln3JYO3GgMREE2x9m2hw2pVnDk67Kl8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1545ab1772322be25496f19ab60d5988b45ec08bcdeae60c6c198a9081db50c6","last_reissued_at":"2026-07-05T02:29:40.704648Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:29:40.704648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integrability and Cosmological Solutions in Einstein-aether-Weyl theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Andronikos Paliathanasis (DUT, Durban), Genly Leon (Catolica del Norte U.)","submitted_at":"2021-01-05T15:47:54Z","abstract_excerpt":"We consider a Lorentz violating scalar field cosmological model given by the modified Einstein-aether theory defined in Weyl integrable geometry. The existence of exact and analytic solutions is investigated for the case of a spatially flat Friedmann--Lema\\^{\\i}tre--Robertson--Walker background space. We show that the theory admits cosmological solutions of special interests. In addition, we prove that the cosmological field equations admit the Lewis invariant as a second conservation law, which indicates the integrability of the field equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.01606","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.01606/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":"2101.01606","created_at":"2026-07-05T02:29:40.704702+00:00"},{"alias_kind":"arxiv_version","alias_value":"2101.01606v1","created_at":"2026-07-05T02:29:40.704702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.01606","created_at":"2026-07-05T02:29:40.704702+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVC2WF3SGIV6","created_at":"2026-07-05T02:29:40.704702+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVC2WF3SGIV6EVEW","created_at":"2026-07-05T02:29:40.704702+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVC2WF3S","created_at":"2026-07-05T02:29:40.704702+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.15975","citing_title":"Geometric formulation of $k$-essence and late-time acceleration","ref_index":92,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC","json":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC.json","graph_json":"https://pith.science/api/pith-number/CVC2WF3SGIV6EVEW6GNLMDKZRC/graph.json","events_json":"https://pith.science/api/pith-number/CVC2WF3SGIV6EVEW6GNLMDKZRC/events.json","paper":"https://pith.science/paper/CVC2WF3S"},"agent_actions":{"view_html":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC","download_json":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC.json","view_paper":"https://pith.science/paper/CVC2WF3S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2101.01606&json=true","fetch_graph":"https://pith.science/api/pith-number/CVC2WF3SGIV6EVEW6GNLMDKZRC/graph.json","fetch_events":"https://pith.science/api/pith-number/CVC2WF3SGIV6EVEW6GNLMDKZRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC/action/storage_attestation","attest_author":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC/action/author_attestation","sign_citation":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC/action/citation_signature","submit_replication":"https://pith.science/pith/CVC2WF3SGIV6EVEW6GNLMDKZRC/action/replication_record"}},"created_at":"2026-07-05T02:29:40.704702+00:00","updated_at":"2026-07-05T02:29:40.704702+00:00"}