{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DKXBIP323OL7PFZEY4F4RZZKT3","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":"f776dbb4df0b48ba9270cbcc79add29ce3b41eb72465fdb02d41b63b26e74f48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-17T06:56:59Z","title_canon_sha256":"9073cff09d9c885ce4be549b33361d2a25f8e5d6ba89c2471e35bc4118216df1"},"schema_version":"1.0","source":{"id":"1511.05287","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05287","created_at":"2026-05-17T23:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05287v2","created_at":"2026-05-17T23:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05287","created_at":"2026-05-17T23:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"DKXBIP323OL7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DKXBIP323OL7PFZE","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DKXBIP32","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:ddad0ba01cf840828120d2e9a8d4d9a68b367f71ca96ad16d4373c0198721929","target":"graph","created_at":"2026-05-17T23:46:32Z","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":"We consider a Friedmann model of the universe with bulk viscous matter and radiation as the cosmic components. We study the asymptotic properties in the equivalent phase space by considering the three cases for the bulk viscous coefficient as (i) $\\zeta = \\zeta_{0}$, a constant (ii) $\\zeta = \\zeta_{0} + \\zeta_{1}\\frac{\\dot{a}}{a}$, depending on velocity of the expansion of the universe and (iii) $\\zeta = \\zeta_{0} + \\zeta_{1}\\frac{\\dot{a}}{a} + \\zeta_{2}\\frac{\\ddot{a}}{\\dot{a}}$, depending both on velocity and acceleration of the expansion of the universe. It is found that all the three cases ","authors_text":"Athira Sasidharan, Titus K Mathew","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-17T06:56:59Z","title":"Phase space analysis of bulk viscous matter dominated universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05287","kind":"arxiv","version":2},"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":"sha256:51dd18b3d4327260ac7c65732535cadb656cbb1ac22233e65b759a9694a17096","target":"record","created_at":"2026-05-17T23:46:32Z","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":"f776dbb4df0b48ba9270cbcc79add29ce3b41eb72465fdb02d41b63b26e74f48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-17T06:56:59Z","title_canon_sha256":"9073cff09d9c885ce4be549b33361d2a25f8e5d6ba89c2471e35bc4118216df1"},"schema_version":"1.0","source":{"id":"1511.05287","kind":"arxiv","version":2}},"canonical_sha256":"1aae143f7adb97f79724c70bc8e72a9ec6600bece7fd65a93056f7bc96c714a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aae143f7adb97f79724c70bc8e72a9ec6600bece7fd65a93056f7bc96c714a5","first_computed_at":"2026-05-17T23:46:32.216648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:32.216648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xwi5VYOyjcnCyASJEzr0NTwqm1VJQrrxb7n1XUIoN7BH4l5B4LNSvWu4KNliduHrilyOHzKsXrV1H9FM0wNCAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:32.217451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05287","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51dd18b3d4327260ac7c65732535cadb656cbb1ac22233e65b759a9694a17096","sha256:ddad0ba01cf840828120d2e9a8d4d9a68b367f71ca96ad16d4373c0198721929"],"state_sha256":"905233aad515a3b3884916921e14e80cbee9c0539647ba16086287d553a1113f"}