{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3ZUJJJIXWFJ7C2PZ44E2GXC2FB","short_pith_number":"pith:3ZUJJJIX","schema_version":"1.0","canonical_sha256":"de6894a517b153f169f9e709a35c5a28772a937cb5416cbc7e69fbfb6e197c91","source":{"kind":"arxiv","id":"1512.03754","version":1},"attestation_state":"computed","paper":{"title":"The global nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FRW geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Changhua Wei, Philippe G. LeFloch","submitted_at":"2015-12-11T18:47:01Z","abstract_excerpt":"We analyze the global nonlinear stability of FRW (Friedmann-Robertson-Walker) spacetimes in presence of an irrotational perfect fluid. We assume that the fluid is governed by the so-called (generalized) Chaplygin equation of state relating the pressure to the mass-energy density. We express the Einstein equations in wave gauge as a systems of coupled nonlinear wave equations and by performing a suitable conformal transformation, we are able to analyze the global behavior of solutions in future timelike directions. We establish that the (3+1)-spacetime metric and the mass density and velocity v"},"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":"1512.03754","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-12-11T18:47:01Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"794e1032b148150c45c0ecbcaea762ecb8480e79ba39f96f113592bed8697662","abstract_canon_sha256":"b57a1a90e0ea5a3c6c169297a3871281a63cced5226eaea47359d54fbbde29af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:31.426053Z","signature_b64":"qd+xLP3LwRzJut/9WFZ44a3L8+1nT/N7GUMwZu5XdTbBHi8VCM7JJ12y3zHR7vB9o0CJwbINpDb4zx1xQb+FBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de6894a517b153f169f9e709a35c5a28772a937cb5416cbc7e69fbfb6e197c91","last_reissued_at":"2026-05-18T01:24:31.425419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:31.425419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The global nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FRW geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Changhua Wei, Philippe G. LeFloch","submitted_at":"2015-12-11T18:47:01Z","abstract_excerpt":"We analyze the global nonlinear stability of FRW (Friedmann-Robertson-Walker) spacetimes in presence of an irrotational perfect fluid. We assume that the fluid is governed by the so-called (generalized) Chaplygin equation of state relating the pressure to the mass-energy density. We express the Einstein equations in wave gauge as a systems of coupled nonlinear wave equations and by performing a suitable conformal transformation, we are able to analyze the global behavior of solutions in future timelike directions. We establish that the (3+1)-spacetime metric and the mass density and velocity v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03754","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":"1512.03754","created_at":"2026-05-18T01:24:31.425527+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03754v1","created_at":"2026-05-18T01:24:31.425527+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03754","created_at":"2026-05-18T01:24:31.425527+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZUJJJIXWFJ7","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZUJJJIXWFJ7C2PZ","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZUJJJIX","created_at":"2026-05-18T12:29:02.477457+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/3ZUJJJIXWFJ7C2PZ44E2GXC2FB","json":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB.json","graph_json":"https://pith.science/api/pith-number/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/graph.json","events_json":"https://pith.science/api/pith-number/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/events.json","paper":"https://pith.science/paper/3ZUJJJIX"},"agent_actions":{"view_html":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB","download_json":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB.json","view_paper":"https://pith.science/paper/3ZUJJJIX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03754&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/action/storage_attestation","attest_author":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/action/author_attestation","sign_citation":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/action/citation_signature","submit_replication":"https://pith.science/pith/3ZUJJJIXWFJ7C2PZ44E2GXC2FB/action/replication_record"}},"created_at":"2026-05-18T01:24:31.425527+00:00","updated_at":"2026-05-18T01:24:31.425527+00:00"}