{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CBA34WMZYYXGWS6LDRA72GQBOQ","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":"2cea035a8a83a7411fb143e84195c782be31c906acedc3aef559d10a730999d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-08T07:08:10Z","title_canon_sha256":"39c4c564d81a7f87099ccb3987192618802382503ee792f9891ebd10ad28684d"},"schema_version":"1.0","source":{"id":"1509.02263","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.02263","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1509.02263v1","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.02263","created_at":"2026-05-18T01:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"CBA34WMZYYXG","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CBA34WMZYYXGWS6L","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CBA34WMZ","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:01acb3a8a0005303ed0c7dcaa300606eb2721219242491b25761a7522d1974ff","target":"graph","created_at":"2026-05-18T01:33:41Z","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 goal of this paper is to discuss phase space analysis of some interacting Chaplygin gas models in General Relativity. Chaplygin gas is one of the fluids actively considered in modern cosmology due to the fact that it is a joint model of dark energy and dark matter. In this paper we have considered various forms of interaction term Q including linear and non linear sign changeable interactions. For each case late time attractors for the field equations are found.","authors_text":"M. Khurshudyan, R. Myrzakulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-08T07:08:10Z","title":"Phase space analysis of some interacting Chaplygin gas models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02263","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":"sha256:1e187a9bba87dd3b7f6c03f0030d1e1b00a878da1966596d95e9685da3b38c27","target":"record","created_at":"2026-05-18T01:33:41Z","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":"2cea035a8a83a7411fb143e84195c782be31c906acedc3aef559d10a730999d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-09-08T07:08:10Z","title_canon_sha256":"39c4c564d81a7f87099ccb3987192618802382503ee792f9891ebd10ad28684d"},"schema_version":"1.0","source":{"id":"1509.02263","kind":"arxiv","version":1}},"canonical_sha256":"1041be5999c62e6b4bcb1c41fd1a01742b1ee2949941e4d36c759d1f578ac2bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1041be5999c62e6b4bcb1c41fd1a01742b1ee2949941e4d36c759d1f578ac2bb","first_computed_at":"2026-05-18T01:33:41.383495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:41.383495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jnDTdDmPt3QACFIIj82cURihRzY8L0QRXGtwPpqldPOa6xcnpvOlfZofQNQ7o+9bQqBgudaCfJSAaDOiRBW4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:41.384128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.02263","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e187a9bba87dd3b7f6c03f0030d1e1b00a878da1966596d95e9685da3b38c27","sha256:01acb3a8a0005303ed0c7dcaa300606eb2721219242491b25761a7522d1974ff"],"state_sha256":"92ba22e583b61cca42a649e753be90f434c5027a32845878235ee560f18f8fc3"}