{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MHYXBRVB62OGWOTN3CIZUJALQ5","short_pith_number":"pith:MHYXBRVB","schema_version":"1.0","canonical_sha256":"61f170c6a1f69c6b3a6dd8919a240b8769ecf07d9b0977eea6026d70697a3107","source":{"kind":"arxiv","id":"1011.4571","version":3},"attestation_state":"computed","paper":{"title":"Plane-symmetric spacetimes with positive cosmological constant. The case of stiff fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Philippe G. LeFloch, Sophonie B. Tchapnda","submitted_at":"2010-11-20T09:33:41Z","abstract_excerpt":"We consider plane-symmetric spacetimes satisfying Einstein's field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e. a so-called stiff fluid). We study the initial-value problem for the associated Einstein equations and establish a global existence result. The late-time asymptotics of solutions is also rigorously derived, and we conclude that the spacetime approaches the de Sitter spacetime while the matter disperses asymptotically. A technical difficulty dealt with here lies in the fact that solutions may contain"},"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":"1011.4571","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-11-20T09:33:41Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"bfd69337546d1c8ed3f49f90c201d965f8d896520b36e248821e62031483da4e","abstract_canon_sha256":"0ad420609e0dece5b6915088e63e29a108e19402f14cd305974cdec3a48edb02"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:46.323416Z","signature_b64":"5r4DNNTrU9jSzcsczR0VcxOlkckviptwqSFwgIlHkj5QQgjzS1RVYVa8g7s4tUlsWfMlO/eT7ZO0gatzuhjADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61f170c6a1f69c6b3a6dd8919a240b8769ecf07d9b0977eea6026d70697a3107","last_reissued_at":"2026-05-18T03:56:46.322802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:46.322802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Plane-symmetric spacetimes with positive cosmological constant. The case of stiff fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Philippe G. LeFloch, Sophonie B. Tchapnda","submitted_at":"2010-11-20T09:33:41Z","abstract_excerpt":"We consider plane-symmetric spacetimes satisfying Einstein's field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e. a so-called stiff fluid). We study the initial-value problem for the associated Einstein equations and establish a global existence result. The late-time asymptotics of solutions is also rigorously derived, and we conclude that the spacetime approaches the de Sitter spacetime while the matter disperses asymptotically. A technical difficulty dealt with here lies in the fact that solutions may contain"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4571","kind":"arxiv","version":3},"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":"1011.4571","created_at":"2026-05-18T03:56:46.322878+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4571v3","created_at":"2026-05-18T03:56:46.322878+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4571","created_at":"2026-05-18T03:56:46.322878+00:00"},{"alias_kind":"pith_short_12","alias_value":"MHYXBRVB62OG","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"MHYXBRVB62OGWOTN","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"MHYXBRVB","created_at":"2026-05-18T12:26:10.704358+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/MHYXBRVB62OGWOTN3CIZUJALQ5","json":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5.json","graph_json":"https://pith.science/api/pith-number/MHYXBRVB62OGWOTN3CIZUJALQ5/graph.json","events_json":"https://pith.science/api/pith-number/MHYXBRVB62OGWOTN3CIZUJALQ5/events.json","paper":"https://pith.science/paper/MHYXBRVB"},"agent_actions":{"view_html":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5","download_json":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5.json","view_paper":"https://pith.science/paper/MHYXBRVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4571&json=true","fetch_graph":"https://pith.science/api/pith-number/MHYXBRVB62OGWOTN3CIZUJALQ5/graph.json","fetch_events":"https://pith.science/api/pith-number/MHYXBRVB62OGWOTN3CIZUJALQ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5/action/storage_attestation","attest_author":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5/action/author_attestation","sign_citation":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5/action/citation_signature","submit_replication":"https://pith.science/pith/MHYXBRVB62OGWOTN3CIZUJALQ5/action/replication_record"}},"created_at":"2026-05-18T03:56:46.322878+00:00","updated_at":"2026-05-18T03:56:46.322878+00:00"}