{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:EKTDCNF3BQVAA5TNLNP7QLUXA2","short_pith_number":"pith:EKTDCNF3","schema_version":"1.0","canonical_sha256":"22a63134bb0c2a00766d5b5ff82e9706a07bd00e59fda8577ce3b39d822de9e6","source":{"kind":"arxiv","id":"1607.01244","version":2},"attestation_state":"computed","paper":{"title":"On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"V. D. Ivashchuk","submitted_at":"2016-07-05T13:27:08Z","abstract_excerpt":"A (n+1)-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: a_i ~ exp( v^i t), i = 1, ..., n, are analysed for n > 3. We study the stability of the solutions with non-static volume factor, i.e. if K(v) = \\sum_{k = 1}^{n} v^k \\neq 0. We prove that under certain restriction R imposed solutions with K(v) > 0 are stable while solutions with K(v) < 0 are unstable. Certain examples of stable solutions are presented. We show that the s"},"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":"1607.01244","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-05T13:27:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b41546dc4aae89c41324201233e1c339143e9eead02e9a36ca97b330ddff7c08","abstract_canon_sha256":"f2fb0fab9fd7e8d888cd15afc9e5d70f32b8188c1e8fb244d507baffbf9dbe55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:08.672517Z","signature_b64":"zdMlSdLmnEaN8LUlCRJ15Vgey6NsHN7UxA6/xplZPY9yOoXNe7Aq4yKtZmIJtj4nBkM6ZnSSYMKapdqizP71Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22a63134bb0c2a00766d5b5ff82e9706a07bd00e59fda8577ce3b39d822de9e6","last_reissued_at":"2026-05-18T01:08:08.672138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:08.672138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"V. D. Ivashchuk","submitted_at":"2016-07-05T13:27:08Z","abstract_excerpt":"A (n+1)-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: a_i ~ exp( v^i t), i = 1, ..., n, are analysed for n > 3. We study the stability of the solutions with non-static volume factor, i.e. if K(v) = \\sum_{k = 1}^{n} v^k \\neq 0. We prove that under certain restriction R imposed solutions with K(v) > 0 are stable while solutions with K(v) < 0 are unstable. Certain examples of stable solutions are presented. We show that the s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01244","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":""},"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":"1607.01244","created_at":"2026-05-18T01:08:08.672196+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.01244v2","created_at":"2026-05-18T01:08:08.672196+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01244","created_at":"2026-05-18T01:08:08.672196+00:00"},{"alias_kind":"pith_short_12","alias_value":"EKTDCNF3BQVA","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"EKTDCNF3BQVAA5TN","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"EKTDCNF3","created_at":"2026-05-18T12:30:12.583610+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2","json":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2.json","graph_json":"https://pith.science/api/pith-number/EKTDCNF3BQVAA5TNLNP7QLUXA2/graph.json","events_json":"https://pith.science/api/pith-number/EKTDCNF3BQVAA5TNLNP7QLUXA2/events.json","paper":"https://pith.science/paper/EKTDCNF3"},"agent_actions":{"view_html":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2","download_json":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2.json","view_paper":"https://pith.science/paper/EKTDCNF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.01244&json=true","fetch_graph":"https://pith.science/api/pith-number/EKTDCNF3BQVAA5TNLNP7QLUXA2/graph.json","fetch_events":"https://pith.science/api/pith-number/EKTDCNF3BQVAA5TNLNP7QLUXA2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2/action/storage_attestation","attest_author":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2/action/author_attestation","sign_citation":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2/action/citation_signature","submit_replication":"https://pith.science/pith/EKTDCNF3BQVAA5TNLNP7QLUXA2/action/replication_record"}},"created_at":"2026-05-18T01:08:08.672196+00:00","updated_at":"2026-05-18T01:08:08.672196+00:00"}