{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6D6OKQR4WNHKJOI6QJQDIMYNY4","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":"cf532a199e492210ac11e2ab9b92ba79bcbdec1258a74391af6013ca5926be80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-09T10:34:51Z","title_canon_sha256":"bbd1f82a77cddd1ca3b24b637609318f1a67e331abfe72894de6c39a8c1ccd6b"},"schema_version":"1.0","source":{"id":"1511.02624","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02624","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02624v4","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02624","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"6D6OKQR4WNHK","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6D6OKQR4WNHKJOI6","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6D6OKQR4","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:0fd8a3dad8f5630c9c660272bd99172bd77ff336eea3e6b82685321936023848","target":"graph","created_at":"2026-05-18T00:44:58Z","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":"We consider a flat Universe filled with a vacuum energy coupled to matter and radiation by respectively positive coupling functions $Q_m$ and $Q_r$. We require that these functions be such as Universe exits from inflation to go to a radiation dominated epoch and allow to reproduce the observed $\\Lambda CDM$ expansion after this last epoch. These requirements lead to some necessary constraints on the coupling functions. We then look at one of the simplest forms of $Q_m$ and $Q_r$ able to satisfy them. The cosmological model thus defined describes a Universe with an initial singularity and endle","authors_text":"Stephane Fay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-09T10:34:51Z","title":"A coupled vacuum energy model producing endless alternated phases of accelerated and decelerated expansion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02624","kind":"arxiv","version":4},"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:cbf14fd1e1b8216e40418f614603d88cb616335c26a216ef8c1396eaac83b8ae","target":"record","created_at":"2026-05-18T00:44:58Z","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":"cf532a199e492210ac11e2ab9b92ba79bcbdec1258a74391af6013ca5926be80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-11-09T10:34:51Z","title_canon_sha256":"bbd1f82a77cddd1ca3b24b637609318f1a67e331abfe72894de6c39a8c1ccd6b"},"schema_version":"1.0","source":{"id":"1511.02624","kind":"arxiv","version":4}},"canonical_sha256":"f0fce5423cb34ea4b91e826034330dc7196280c608d85520535aecac2c3bcf86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0fce5423cb34ea4b91e826034330dc7196280c608d85520535aecac2c3bcf86","first_computed_at":"2026-05-18T00:44:58.287530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:58.287530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PUrNyqlNuTNyTzRNYuWzLYebiT6UFEp5JG897OZ+HUyXBKIyuMgGuRFZhIE2+9gFbCvOLApr068KZZaseyGSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:58.287989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02624","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbf14fd1e1b8216e40418f614603d88cb616335c26a216ef8c1396eaac83b8ae","sha256:0fd8a3dad8f5630c9c660272bd99172bd77ff336eea3e6b82685321936023848"],"state_sha256":"dcaccf34aa1b79331dedabb876525458fa59a76752d40ff7fcdb5fe2fce1004e"}