{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DCWWW63ULFIWMBHROYXSKFQCQ2","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":"9724d661fa658a130c3438fcd241167595e25504fba27b70413f5f11806c7ce9","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-31T18:43:09Z","title_canon_sha256":"cb51a26b38f185f6652fd63df9d22157448b37f62691bd22eaba9d7a033194e8"},"schema_version":"1.0","source":{"id":"1309.0143","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0143","created_at":"2026-05-18T03:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0143v1","created_at":"2026-05-18T03:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0143","created_at":"2026-05-18T03:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"DCWWW63ULFIW","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"DCWWW63ULFIWMBHR","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"DCWWW63U","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:86c59c3880f17c287e6faa4eddbf52be94ae34c5d86a4389ec62592aba9a6722","target":"graph","created_at":"2026-05-18T03:14:28Z","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 many cases a massive nonlinear scalar field can lead to accelerated expansion in cosmological models. This paper contains mathematical results on this subject for flat Robertson-Walker space-time. Global existence to the coupled Einstein-massive scalar field system which rules the dynamics of a kind of pure matter in the presence of a massive scalar field and cosmological constant is proved, under the assumption that the scalar field ? is a non-decreasing function, in Robertson-Walker1 space-time; asymptotic behaviour are investigated in the case of a cosmological constant bounded from belo","authors_text":"Alexis Nangue","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-31T18:43:09Z","title":"Global existence of solutions to the Einstein-massive scalar field equations with a cosmological constant for a perfect fluid on the flat Robertson-Walker space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0143","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:f927c2a9f02f2756b9a7dd37e4688b222edacc389a97596b03842e89d9de8d06","target":"record","created_at":"2026-05-18T03:14:28Z","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":"9724d661fa658a130c3438fcd241167595e25504fba27b70413f5f11806c7ce9","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-31T18:43:09Z","title_canon_sha256":"cb51a26b38f185f6652fd63df9d22157448b37f62691bd22eaba9d7a033194e8"},"schema_version":"1.0","source":{"id":"1309.0143","kind":"arxiv","version":1}},"canonical_sha256":"18ad6b7b7459516604f1762f25160286a7975048b66671f8348e8b4d5dae90d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18ad6b7b7459516604f1762f25160286a7975048b66671f8348e8b4d5dae90d1","first_computed_at":"2026-05-18T03:14:28.732653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:28.732653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3nc6dnx7pETuxvIFdVyWZT6bHVAgkLowJcd25M/cIEOHLSKza1wrSmQDHSVms6x908pHGsekDGG99QglHS7WCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:28.733165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0143","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f927c2a9f02f2756b9a7dd37e4688b222edacc389a97596b03842e89d9de8d06","sha256:86c59c3880f17c287e6faa4eddbf52be94ae34c5d86a4389ec62592aba9a6722"],"state_sha256":"ce071463f1891b09c756e1e0bb83654aa94cdd1b044c0b352cfdd16f1ab9146f"}