{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:CM4TC63CPYRKVUOOJRYJZ3VEFK","short_pith_number":"pith:CM4TC63C","schema_version":"1.0","canonical_sha256":"1339317b627e22aad1ce4c709ceea42abb137c6eb3ab498dff15b937d903574e","source":{"kind":"arxiv","id":"1012.4595","version":1},"attestation_state":"computed","paper":{"title":"Late-time behaviour of the Einstein-Vlasov system with Bianchi I symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ernesto Nungesser","submitted_at":"2010-12-21T10:49:39Z","abstract_excerpt":"The late-time behaviour of the Einstein-dust system is well understood for homogeneous spacetimes. For the case of Bianchi I we have been able to show that the late-time behaviour of the Einstein-Vlasov system is well approximated by the Einstein-dust system assuming that one is close to the unique stationary solution which is the attractor of the Einstein-dust system."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1012.4595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-12-21T10:49:39Z","cross_cats_sorted":[],"title_canon_sha256":"3c1b0585b48d8af4c8b96035e151211e7dac9c701e26f5c0527d8160415157f7","abstract_canon_sha256":"e66e8227f3b1b2af94cc4b10828acd819332d10e8035fb718b877ab1bb9c3331"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:19.444198Z","signature_b64":"sD2i3V84Ir+gMiZVLBAGgwe5ts3CWUMkqeqapVzxilBoqn3OzscVzSfEoi53nNKS6vh8twCV5or2aTSWhAQQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1339317b627e22aad1ce4c709ceea42abb137c6eb3ab498dff15b937d903574e","last_reissued_at":"2026-05-18T02:04:19.443421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:19.443421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Late-time behaviour of the Einstein-Vlasov system with Bianchi I symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ernesto Nungesser","submitted_at":"2010-12-21T10:49:39Z","abstract_excerpt":"The late-time behaviour of the Einstein-dust system is well understood for homogeneous spacetimes. For the case of Bianchi I we have been able to show that the late-time behaviour of the Einstein-Vlasov system is well approximated by the Einstein-dust system assuming that one is close to the unique stationary solution which is the attractor of the Einstein-dust system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4595","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1012.4595","created_at":"2026-05-18T02:04:19.443551+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.4595v1","created_at":"2026-05-18T02:04:19.443551+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4595","created_at":"2026-05-18T02:04:19.443551+00:00"},{"alias_kind":"pith_short_12","alias_value":"CM4TC63CPYRK","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"CM4TC63CPYRKVUOO","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"CM4TC63C","created_at":"2026-05-18T12:26:06.534383+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK","json":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK.json","graph_json":"https://pith.science/api/pith-number/CM4TC63CPYRKVUOOJRYJZ3VEFK/graph.json","events_json":"https://pith.science/api/pith-number/CM4TC63CPYRKVUOOJRYJZ3VEFK/events.json","paper":"https://pith.science/paper/CM4TC63C"},"agent_actions":{"view_html":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK","download_json":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK.json","view_paper":"https://pith.science/paper/CM4TC63C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.4595&json=true","fetch_graph":"https://pith.science/api/pith-number/CM4TC63CPYRKVUOOJRYJZ3VEFK/graph.json","fetch_events":"https://pith.science/api/pith-number/CM4TC63CPYRKVUOOJRYJZ3VEFK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK/action/storage_attestation","attest_author":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK/action/author_attestation","sign_citation":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK/action/citation_signature","submit_replication":"https://pith.science/pith/CM4TC63CPYRKVUOOJRYJZ3VEFK/action/replication_record"}},"created_at":"2026-05-18T02:04:19.443551+00:00","updated_at":"2026-05-18T02:04:19.443551+00:00"}