{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FMSILEMLFPQOEJ2MKJ3ZEALQDF","short_pith_number":"pith:FMSILEML","canonical_record":{"source":{"id":"1105.2771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-05-12T15:19:35Z","cross_cats_sorted":[],"title_canon_sha256":"9181720a06f616d0e7a415678aec22d0fd3daeaa5d9e691cc3acbcdcf441dbbf","abstract_canon_sha256":"37a6a94fe8f62be15c25eec679bca63451af8ad5213a51cd8fb1005dd352d2c3"},"schema_version":"1.0"},"canonical_sha256":"2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a","source":{"kind":"arxiv","id":"1105.2771","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2771","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2771v1","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2771","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"pith_short_12","alias_value":"FMSILEMLFPQO","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMSILEMLFPQOEJ2M","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMSILEML","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FMSILEMLFPQOEJ2MKJ3ZEALQDF","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-05-12T15:19:35Z","cross_cats_sorted":[],"title_canon_sha256":"9181720a06f616d0e7a415678aec22d0fd3daeaa5d9e691cc3acbcdcf441dbbf","abstract_canon_sha256":"37a6a94fe8f62be15c25eec679bca63451af8ad5213a51cd8fb1005dd352d2c3"},"schema_version":"1.0"},"canonical_sha256":"2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:09.651736Z","signature_b64":"E9zp5y0JEO3b83r7nNnEZR7uEDvWPqsLMSC/yVGFBsfbHb31vvLPzwAWWXkMjPYwpJWHc8BUL9C6pctICQk6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a","last_reissued_at":"2026-05-18T04:22:09.651245Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:09.651245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2771","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KjcRupyBUdl07OVgeZfLm2vKdmkMz1fzBcyXz6481FnUrTIHk1AHQVBwWUS87vD85VYt8nTqo8OjYCxjb/JJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:32:22.056601Z"},"content_sha256":"fe4a9f1ab5ea4b8ac4e8c106ca28ba2acdc2bf590f9920570e8b9dd67c4f45b0","schema_version":"1.0","event_id":"sha256:fe4a9f1ab5ea4b8ac4e8c106ca28ba2acdc2bf590f9920570e8b9dd67c4f45b0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FMSILEMLFPQOEJ2MKJ3ZEALQDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"FRW cosmological models with integrable and nonintegrable differential equations of state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Gulgasyl Nugmanova, Kairat Myrzakulov, Kuralay Esmakhanova, Ratbay Myrzakulov, Shynaray Myrzakul","submitted_at":"2011-05-12T15:19:35Z","abstract_excerpt":"The basic models of modern cosmology work in FRW spacetime. Hence follows that it is important to study the physical and mathematical nature of FRW cosmological models. In this work, we consider FRW models with the differential equations of state. Some new classes integrable and nonintegrable FRW cosmological models were constructed. It is remarkable that all proposed integrable and nonintegrable FRW models admit exact solutions. For some of them, such exact solutions are presented. Some artificial two-dimensional FRW models were also proposed. Finally in Appendix, we extend the obtained resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2771","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n9n3DbzzKkf5mLmwnY1jzz2ASU7uFmN91PbkTz0T4Il76y8OQG4XX1ycJllFlJAkMZoU9HZinnVwfxDGTxcpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T03:32:22.056960Z"},"content_sha256":"7b8bb30f96fe9538729df0ca593df4dba08904bdb75ee533181e608c7becc430","schema_version":"1.0","event_id":"sha256:7b8bb30f96fe9538729df0ca593df4dba08904bdb75ee533181e608c7becc430"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/bundle.json","state_url":"https://pith.science/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T03:32:22Z","links":{"resolver":"https://pith.science/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF","bundle":"https://pith.science/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/bundle.json","state":"https://pith.science/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMSILEMLFPQOEJ2MKJ3ZEALQDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FMSILEMLFPQOEJ2MKJ3ZEALQDF","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":"37a6a94fe8f62be15c25eec679bca63451af8ad5213a51cd8fb1005dd352d2c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-05-12T15:19:35Z","title_canon_sha256":"9181720a06f616d0e7a415678aec22d0fd3daeaa5d9e691cc3acbcdcf441dbbf"},"schema_version":"1.0","source":{"id":"1105.2771","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2771","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2771v1","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2771","created_at":"2026-05-18T04:22:09Z"},{"alias_kind":"pith_short_12","alias_value":"FMSILEMLFPQO","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FMSILEMLFPQOEJ2M","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FMSILEML","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:7b8bb30f96fe9538729df0ca593df4dba08904bdb75ee533181e608c7becc430","target":"graph","created_at":"2026-05-18T04:22:09Z","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 basic models of modern cosmology work in FRW spacetime. Hence follows that it is important to study the physical and mathematical nature of FRW cosmological models. In this work, we consider FRW models with the differential equations of state. Some new classes integrable and nonintegrable FRW cosmological models were constructed. It is remarkable that all proposed integrable and nonintegrable FRW models admit exact solutions. For some of them, such exact solutions are presented. Some artificial two-dimensional FRW models were also proposed. Finally in Appendix, we extend the obtained resul","authors_text":"Gulgasyl Nugmanova, Kairat Myrzakulov, Kuralay Esmakhanova, Ratbay Myrzakulov, Shynaray Myrzakul","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-05-12T15:19:35Z","title":"FRW cosmological models with integrable and nonintegrable differential equations of state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2771","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:fe4a9f1ab5ea4b8ac4e8c106ca28ba2acdc2bf590f9920570e8b9dd67c4f45b0","target":"record","created_at":"2026-05-18T04:22:09Z","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":"37a6a94fe8f62be15c25eec679bca63451af8ad5213a51cd8fb1005dd352d2c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2011-05-12T15:19:35Z","title_canon_sha256":"9181720a06f616d0e7a415678aec22d0fd3daeaa5d9e691cc3acbcdcf441dbbf"},"schema_version":"1.0","source":{"id":"1105.2771","kind":"arxiv","version":1}},"canonical_sha256":"2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b2485918b2be0e2274c5277920170197a62a6d876320139804805bbf4c4538a","first_computed_at":"2026-05-18T04:22:09.651245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:09.651245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9zp5y0JEO3b83r7nNnEZR7uEDvWPqsLMSC/yVGFBsfbHb31vvLPzwAWWXkMjPYwpJWHc8BUL9C6pctICQk6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:09.651736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2771","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe4a9f1ab5ea4b8ac4e8c106ca28ba2acdc2bf590f9920570e8b9dd67c4f45b0","sha256:7b8bb30f96fe9538729df0ca593df4dba08904bdb75ee533181e608c7becc430"],"state_sha256":"0f61824e4cc11a069e0dcde78cdd2c2450a0e8f9b5a8135429a3d02637d45b50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aZwT+QPkpCMt4vQ5vUrK6Axfv246GJj7vRrp+3qWvvyckJLmNwz48HWQw7A1Xl8UnEm44qyT/aE6C2ZI7gIoAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T03:32:22.058843Z","bundle_sha256":"5c14e10edbfa1a19184e85b77d27cfdc5d1893e1294086b290352f7e48510f74"}}