{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SVDREFEKHAVUHYGCJOZ4TDNWVJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"34730a9dab5f585915f0136ce70e8c13024b9688669c5ed3b1c0c7fb9a3adf53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-08T00:08:05Z","title_canon_sha256":"dc1f7bcdd07767a52c3837d526b5e7e4b01d880518ce4783ee5bd31d95fc0854"},"schema_version":"1.0","source":{"id":"1208.1548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.1548","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1208.1548v1","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.1548","created_at":"2026-05-18T03:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"SVDREFEKHAVU","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SVDREFEKHAVUHYGC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SVDREFEK","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:6c04183f19dd3d0629f7477577ff44d0f9f0afec1321161c2d967243df7e41d3","target":"graph","created_at":"2026-05-18T03:49:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The behaviour of solutions to the Einstein equations with a causal viscous fluid source is investigated. In this model we consider a spatially flat Robertson-Walker metric, the bulk viscosity coefficient is related to the energy density as $\\zeta = \\alpha \\rho^{m}$, and the relaxation time is given by $\\zeta/\\rho$. In the case $m = 1/2$ we find the exact solutions and we verify whether they satisfy the energy conditions. Besides, we study analytically the asymptotic stability of several families of solutions for arbitrary $m$. We find that the qualitative asymptotic behaviour in the far future","authors_text":"Alejandro S. Jakubi, Luis P. Chimento","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-08T00:08:05Z","title":"Evolution of a universe filled with a causal viscous fluid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.1548","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b117df6725abf3317d8fd82eaa708fd6e70f31f6cf011d0714c55fce958f9a46","target":"record","created_at":"2026-05-18T03:49:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"34730a9dab5f585915f0136ce70e8c13024b9688669c5ed3b1c0c7fb9a3adf53","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-08T00:08:05Z","title_canon_sha256":"dc1f7bcdd07767a52c3837d526b5e7e4b01d880518ce4783ee5bd31d95fc0854"},"schema_version":"1.0","source":{"id":"1208.1548","kind":"arxiv","version":1}},"canonical_sha256":"954712148a382b43e0c24bb3c98db6aa5a787a24f890125f9e1db4d326c7f983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"954712148a382b43e0c24bb3c98db6aa5a787a24f890125f9e1db4d326c7f983","first_computed_at":"2026-05-18T03:49:11.287386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:11.287386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZX0CPJnvKTqbd4PJ8NsYLmLgV8Thbz8rpLCQfpRab8yVw3o9YfwhW2LVEdtW+HPcTn5OaeflaKWEuzfYDY8cBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:11.288108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.1548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b117df6725abf3317d8fd82eaa708fd6e70f31f6cf011d0714c55fce958f9a46","sha256:6c04183f19dd3d0629f7477577ff44d0f9f0afec1321161c2d967243df7e41d3"],"state_sha256":"b6b0c5578665e16794b65e829deddd9df59cfb9325169fc86c7bcc7926b4ec46"}