{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IZU3UF2ZCOJUSJ55PH75XKAOEO","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":"9011d707bf54ceeccdc8531ef18020cfff3f72d44fe6bacf96e925d9c6d34e08","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-19T14:17:59Z","title_canon_sha256":"9c79c4fe382fb91aa76ef9d4031df5a9146cd361e67e11d1a051262a2e279b89"},"schema_version":"1.0","source":{"id":"1705.07009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07009","created_at":"2026-05-18T00:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07009v1","created_at":"2026-05-18T00:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07009","created_at":"2026-05-18T00:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"IZU3UF2ZCOJU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IZU3UF2ZCOJUSJ55","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IZU3UF2Z","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:efc088badb81f6b80b86ddaf6f8e02218a09cb7938a5517f0e9ebbdbc520ff92","target":"graph","created_at":"2026-05-18T00:33:18Z","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 we study the future global existence and late-time behaviour of the Einstein-Boltzmann system with Bianchi I symmetry and a positive cosmological constant $\\Lambda>0$. For the Boltzmann equation we consider the scattering kernel of Israel particles which are the relativistic counterpart of Maxwellian particles. Under a smallness assumption on initial data in a suitable norm we show that solutions exist globally in time and isotropize at late times.","authors_text":"Ernesto Nungesser, Ho Lee","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-19T14:17:59Z","title":"Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07009","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":"sha256:2b5fd8f16c43f3d920a6a111485a5351a30e3f006f15cbe911e2b587f2b1aef5","target":"record","created_at":"2026-05-18T00:33:18Z","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":"9011d707bf54ceeccdc8531ef18020cfff3f72d44fe6bacf96e925d9c6d34e08","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-19T14:17:59Z","title_canon_sha256":"9c79c4fe382fb91aa76ef9d4031df5a9146cd361e67e11d1a051262a2e279b89"},"schema_version":"1.0","source":{"id":"1705.07009","kind":"arxiv","version":1}},"canonical_sha256":"4669ba175913934927bd79ffdba80e238a14e79c1e21fb9a3a344c0fd2e133f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4669ba175913934927bd79ffdba80e238a14e79c1e21fb9a3a344c0fd2e133f5","first_computed_at":"2026-05-18T00:33:18.057920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:18.057920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xbnk++2v+84CZgeARzeFWY/wjMPFZEVWviWpkZtBGIFmUyXn7zFCS8Hzt3llXevsYk/rynLZyQv33A+Mb1IeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:18.058479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b5fd8f16c43f3d920a6a111485a5351a30e3f006f15cbe911e2b587f2b1aef5","sha256:efc088badb81f6b80b86ddaf6f8e02218a09cb7938a5517f0e9ebbdbc520ff92"],"state_sha256":"0e5ef07558d8839cbf2a3dde75d7a4bd6657e9248310e82410c1681888ea363f"}