{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QD6M2L2MYXSUS3M3DHK7VSLRF5","short_pith_number":"pith:QD6M2L2M","canonical_record":{"source":{"id":"1209.4930","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-21T22:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"affc098c8ccc62f91bcf2f41d3803257aaf59f72823bdf02a5fb7c4fb99694d3","abstract_canon_sha256":"dc6db5360466187f25cfa3d74491eb59eda9f06ecae1406c97bb9541dc5f6d07"},"schema_version":"1.0"},"canonical_sha256":"80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62","source":{"kind":"arxiv","id":"1209.4930","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4930","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4930v2","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4930","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"QD6M2L2MYXSU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QD6M2L2MYXSUS3M3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QD6M2L2M","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QD6M2L2MYXSUS3M3DHK7VSLRF5","target":"record","payload":{"canonical_record":{"source":{"id":"1209.4930","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-21T22:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"affc098c8ccc62f91bcf2f41d3803257aaf59f72823bdf02a5fb7c4fb99694d3","abstract_canon_sha256":"dc6db5360466187f25cfa3d74491eb59eda9f06ecae1406c97bb9541dc5f6d07"},"schema_version":"1.0"},"canonical_sha256":"80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:57.306536Z","signature_b64":"qKYjwkXz1fa5GlcBGogVDO2123r2x6jpdr/zWPrTDa5J8WXS73FN8oWFVUndmWVwC68jE2LFn1bcOI5a2eUrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62","last_reissued_at":"2026-05-18T03:38:57.306016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:57.306016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.4930","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uMnmhLQQllRN0TvoDyQBy2Prl9enmc0LZtVczlXZ2PxfUvf49OZkv7cUwjfJYm3x5p5G8Q8MFOoz+BV4r4McBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:59:18.753260Z"},"content_sha256":"95f7b7444c9ef957f8f62c3d740624eb95386d1b94ba77c2efb6c6944bce73df","schema_version":"1.0","event_id":"sha256:95f7b7444c9ef957f8f62c3d740624eb95386d1b94ba77c2efb6c6944bce73df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QD6M2L2MYXSUS3M3DHK7VSLRF5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmological analytic solutions with reduced relativistic gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"L. G. Medeiros","submitted_at":"2012-09-21T22:46:08Z","abstract_excerpt":"In this paper one examine analytical solutions for flat and non-flat universes composed by four components namely hot matter (ultra-relativistic), warm matter (relativistic), cold matter (non-relativistic) and cosmological constant. The warm matter is treated as a reduced relativistic gas and the other three components are treated in the usual way. The solutions achieved contains one, two or three components of which one component is of warm matter type. A solution involving all the four components was not found."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4930","kind":"arxiv","version":2},"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":"2026-05-18T03:38:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ewmXo2QqGBQ4bkbEP2uteOOwQABKS/H4HLcc9StUNsgV2nChXTbAIFCkblketRaDWgs4kHopH9WXe6X/xiWXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T03:59:18.754010Z"},"content_sha256":"2f86dbac8f87ae484ac442b1fa228d2d8604bb4c59348a30a09576893f287061","schema_version":"1.0","event_id":"sha256:2f86dbac8f87ae484ac442b1fa228d2d8604bb4c59348a30a09576893f287061"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/bundle.json","state_url":"https://pith.science/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/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":"2026-06-12T03:59:18Z","links":{"resolver":"https://pith.science/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5","bundle":"https://pith.science/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/bundle.json","state":"https://pith.science/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QD6M2L2MYXSUS3M3DHK7VSLRF5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QD6M2L2MYXSUS3M3DHK7VSLRF5","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":"dc6db5360466187f25cfa3d74491eb59eda9f06ecae1406c97bb9541dc5f6d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-21T22:46:08Z","title_canon_sha256":"affc098c8ccc62f91bcf2f41d3803257aaf59f72823bdf02a5fb7c4fb99694d3"},"schema_version":"1.0","source":{"id":"1209.4930","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4930","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4930v2","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4930","created_at":"2026-05-18T03:38:57Z"},{"alias_kind":"pith_short_12","alias_value":"QD6M2L2MYXSU","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QD6M2L2MYXSUS3M3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QD6M2L2M","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:2f86dbac8f87ae484ac442b1fa228d2d8604bb4c59348a30a09576893f287061","target":"graph","created_at":"2026-05-18T03:38:57Z","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":"In this paper one examine analytical solutions for flat and non-flat universes composed by four components namely hot matter (ultra-relativistic), warm matter (relativistic), cold matter (non-relativistic) and cosmological constant. The warm matter is treated as a reduced relativistic gas and the other three components are treated in the usual way. The solutions achieved contains one, two or three components of which one component is of warm matter type. A solution involving all the four components was not found.","authors_text":"L. G. Medeiros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-21T22:46:08Z","title":"Cosmological analytic solutions with reduced relativistic gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4930","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":"sha256:95f7b7444c9ef957f8f62c3d740624eb95386d1b94ba77c2efb6c6944bce73df","target":"record","created_at":"2026-05-18T03:38:57Z","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":"dc6db5360466187f25cfa3d74491eb59eda9f06ecae1406c97bb9541dc5f6d07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-21T22:46:08Z","title_canon_sha256":"affc098c8ccc62f91bcf2f41d3803257aaf59f72823bdf02a5fb7c4fb99694d3"},"schema_version":"1.0","source":{"id":"1209.4930","kind":"arxiv","version":2}},"canonical_sha256":"80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80fccd2f4cc5e5496d9b19d5fac9712f55e9005a9ee6b94ef699f7f49abd9a62","first_computed_at":"2026-05-18T03:38:57.306016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:57.306016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qKYjwkXz1fa5GlcBGogVDO2123r2x6jpdr/zWPrTDa5J8WXS73FN8oWFVUndmWVwC68jE2LFn1bcOI5a2eUrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:57.306536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.4930","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95f7b7444c9ef957f8f62c3d740624eb95386d1b94ba77c2efb6c6944bce73df","sha256:2f86dbac8f87ae484ac442b1fa228d2d8604bb4c59348a30a09576893f287061"],"state_sha256":"75f32b77702e32b29fcdceb4cd7029d87f90bcece607bfad6bcc4b72ed7b9dbe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iUyom/sUG4d9jAxV0xanSW9HiXuuz9BKBb4uKFWuOYrgugOZqJWgI2WUu4mpiL9VUlWOBB81a840cKgpKm5xBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T03:59:18.758187Z","bundle_sha256":"ffa944af5b9e10e33d1682323d5bca670c550636eedfeb6735230a7c2f56d269"}}