{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3JR6OLLGF2A2IKUUFICXQUTVJS","short_pith_number":"pith:3JR6OLLG","schema_version":"1.0","canonical_sha256":"da63e72d662e81a42a942a057852754c831f63970b0da36501282644334f0967","source":{"kind":"arxiv","id":"1409.5333","version":1},"attestation_state":"computed","paper":{"title":"Static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David Fajman, H{\\aa}kan Andr\\'easson, Maximilian Thaller","submitted_at":"2014-09-18T15:12:59Z","abstract_excerpt":"We construct spherically symmetric, static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant $\\Lambda$. The results are divided as follows. For small $\\Lambda>0$ we show existence of globally regular solutions which coincide with the Schwarzschild-deSitter solution in the exterior of the matter sources. For $\\Lambda<0$ we show via an energy estimate the existence of globally regular solutions which coincide with the Schwarzschild-Anti-deSitter solution in the exterior vacuum region. We also construct solutions with a Schwarzschild singularity at the center regard"},"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":"1409.5333","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-09-18T15:12:59Z","cross_cats_sorted":[],"title_canon_sha256":"23dc872a5c568450d701f10728f99f0fbd644189c351c2933b72c7a2b22c5375","abstract_canon_sha256":"268996ae8c40480728b4ac8d38aebdc76b80eb26a40390d1d05a8ad9cc01dd1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:29.814654Z","signature_b64":"gDE9sweLcVV1yQqbQL8drUmvdhjN42CAg8H88UOvSeCyiSXIdIu+vlxyCECRWjn01m+fzbcLryLV8cs4EbU9DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da63e72d662e81a42a942a057852754c831f63970b0da36501282644334f0967","last_reissued_at":"2026-05-18T02:42:29.813786Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:29.813786Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David Fajman, H{\\aa}kan Andr\\'easson, Maximilian Thaller","submitted_at":"2014-09-18T15:12:59Z","abstract_excerpt":"We construct spherically symmetric, static solutions to the Einstein-Vlasov system with non-vanishing cosmological constant $\\Lambda$. The results are divided as follows. For small $\\Lambda>0$ we show existence of globally regular solutions which coincide with the Schwarzschild-deSitter solution in the exterior of the matter sources. For $\\Lambda<0$ we show via an energy estimate the existence of globally regular solutions which coincide with the Schwarzschild-Anti-deSitter solution in the exterior vacuum region. We also construct solutions with a Schwarzschild singularity at the center regard"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5333","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":"1409.5333","created_at":"2026-05-18T02:42:29.813927+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.5333v1","created_at":"2026-05-18T02:42:29.813927+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5333","created_at":"2026-05-18T02:42:29.813927+00:00"},{"alias_kind":"pith_short_12","alias_value":"3JR6OLLGF2A2","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3JR6OLLGF2A2IKUU","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3JR6OLLG","created_at":"2026-05-18T12:28:11.866339+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/3JR6OLLGF2A2IKUUFICXQUTVJS","json":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS.json","graph_json":"https://pith.science/api/pith-number/3JR6OLLGF2A2IKUUFICXQUTVJS/graph.json","events_json":"https://pith.science/api/pith-number/3JR6OLLGF2A2IKUUFICXQUTVJS/events.json","paper":"https://pith.science/paper/3JR6OLLG"},"agent_actions":{"view_html":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS","download_json":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS.json","view_paper":"https://pith.science/paper/3JR6OLLG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.5333&json=true","fetch_graph":"https://pith.science/api/pith-number/3JR6OLLGF2A2IKUUFICXQUTVJS/graph.json","fetch_events":"https://pith.science/api/pith-number/3JR6OLLGF2A2IKUUFICXQUTVJS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS/action/storage_attestation","attest_author":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS/action/author_attestation","sign_citation":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS/action/citation_signature","submit_replication":"https://pith.science/pith/3JR6OLLGF2A2IKUUFICXQUTVJS/action/replication_record"}},"created_at":"2026-05-18T02:42:29.813927+00:00","updated_at":"2026-05-18T02:42:29.813927+00:00"}