{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:KL6GHHIKM5TFLMGNWVJSLXKGXI","short_pith_number":"pith:KL6GHHIK","schema_version":"1.0","canonical_sha256":"52fc639d0a676655b0cdb55325dd46ba3c43550e757dade8bc21da96729cfd0c","source":{"kind":"arxiv","id":"0906.0140","version":1},"attestation_state":"computed","paper":{"title":"The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A.N. Makarenko, A.V. Toporensky, I.V. Kirnos, S.A. Pavluchenko","submitted_at":"2009-05-31T08:20:51Z","abstract_excerpt":"We investigate dynamics of (4+1) and (5+1) dimensional flat anisotropic Universe filled by a perfect fluid in the Gauss-Bonnet gravity. An analytical solutions valid for particular values of the equation of state parameter $w=1/3$ have been found. For other values of $w$ structure of cosmological singularity have been studied numerically. We found that for $w > 1/3$ the singularity is isotropic. Several important differences between (4+1) and (5+1) dimensional cases are discussed."},"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":"0906.0140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-31T08:20:51Z","cross_cats_sorted":[],"title_canon_sha256":"dc1ed4be90c3cde9801ce6067ac5a3bd5f4eb0f4484b9d70b5bf2473f0e9c135","abstract_canon_sha256":"3075dd1f6f2fa5d4fb879afd23cb91a223425b7ad91b29c4c7f0c1217c346d26"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:46.032710Z","signature_b64":"/qsEMs1TKqOENP7vZA2Hdg2m9U1/YrMKf5Zmt8DVSEvaNYYMWeeGS8ZS7pM3UqXrW6Zit3k4mGANjEvAtV2zDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52fc639d0a676655b0cdb55325dd46ba3c43550e757dade8bc21da96729cfd0c","last_reissued_at":"2026-05-18T02:34:46.032342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:46.032342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The nature of singularity in multidimensional anisotropic Gauss-Bonnet cosmology with a perfect fluid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A.N. Makarenko, A.V. Toporensky, I.V. Kirnos, S.A. Pavluchenko","submitted_at":"2009-05-31T08:20:51Z","abstract_excerpt":"We investigate dynamics of (4+1) and (5+1) dimensional flat anisotropic Universe filled by a perfect fluid in the Gauss-Bonnet gravity. An analytical solutions valid for particular values of the equation of state parameter $w=1/3$ have been found. For other values of $w$ structure of cosmological singularity have been studied numerically. We found that for $w > 1/3$ the singularity is isotropic. Several important differences between (4+1) and (5+1) dimensional cases are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0140","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":""},"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":"0906.0140","created_at":"2026-05-18T02:34:46.032400+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.0140v1","created_at":"2026-05-18T02:34:46.032400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0140","created_at":"2026-05-18T02:34:46.032400+00:00"},{"alias_kind":"pith_short_12","alias_value":"KL6GHHIKM5TF","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"KL6GHHIKM5TFLMGN","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"KL6GHHIK","created_at":"2026-05-18T12:26:00.592388+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/KL6GHHIKM5TFLMGNWVJSLXKGXI","json":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI.json","graph_json":"https://pith.science/api/pith-number/KL6GHHIKM5TFLMGNWVJSLXKGXI/graph.json","events_json":"https://pith.science/api/pith-number/KL6GHHIKM5TFLMGNWVJSLXKGXI/events.json","paper":"https://pith.science/paper/KL6GHHIK"},"agent_actions":{"view_html":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI","download_json":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI.json","view_paper":"https://pith.science/paper/KL6GHHIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.0140&json=true","fetch_graph":"https://pith.science/api/pith-number/KL6GHHIKM5TFLMGNWVJSLXKGXI/graph.json","fetch_events":"https://pith.science/api/pith-number/KL6GHHIKM5TFLMGNWVJSLXKGXI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI/action/storage_attestation","attest_author":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI/action/author_attestation","sign_citation":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI/action/citation_signature","submit_replication":"https://pith.science/pith/KL6GHHIKM5TFLMGNWVJSLXKGXI/action/replication_record"}},"created_at":"2026-05-18T02:34:46.032400+00:00","updated_at":"2026-05-18T02:34:46.032400+00:00"}