{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XPHDWIPNIL6RKFBG2OSBWMMW5R","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":"0ca82c26bb1249cb0d47b732d29669be2d3f8563945c278b6a540dcabcc76436","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-13T10:56:07Z","title_canon_sha256":"b57ed29a02c56e2b1b84106af7c38dbcc020921872b10e364c6289c7da28ebdf"},"schema_version":"1.0","source":{"id":"1811.05208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05208","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05208v1","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05208","created_at":"2026-05-18T00:00:46Z"},{"alias_kind":"pith_short_12","alias_value":"XPHDWIPNIL6R","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XPHDWIPNIL6RKFBG","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XPHDWIPN","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:5cb53487bf7b40281037dfd7c17812e790885edf84bfce7068d4190f51d7b161","target":"graph","created_at":"2026-05-18T00:00:46Z","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 investigate the question whether there are cosmological models in 2+1 space-time dimensions which exhibit dynamics similar to BKL oscillations, as the cosmological singularity is approached. Based on intuition, we conceive a toy model which displays such oscillatory dynamics. We show that in the phase space of this model, the cosmological singularity is represented by a separatrix curve and discuss the model's dynamics within the cosmological billiards picture. Finally, we offer a physical interpretation for a family of similar cosmological models in terms of the topological degrees of free","authors_text":"Philipp Fleig, Vladimir A. Belinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-13T10:56:07Z","title":"BKL oscillations in 2+1 space-time dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05208","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":"sha256:1fc61db12ab869d69e9d4997f99c696f2c3de4b7ac374197fa6b0d63f33ac956","target":"record","created_at":"2026-05-18T00:00:46Z","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":"0ca82c26bb1249cb0d47b732d29669be2d3f8563945c278b6a540dcabcc76436","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-13T10:56:07Z","title_canon_sha256":"b57ed29a02c56e2b1b84106af7c38dbcc020921872b10e364c6289c7da28ebdf"},"schema_version":"1.0","source":{"id":"1811.05208","kind":"arxiv","version":1}},"canonical_sha256":"bbce3b21ed42fd151426d3a41b3196ec627c3c78edb85ac41cef4529305080b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbce3b21ed42fd151426d3a41b3196ec627c3c78edb85ac41cef4529305080b9","first_computed_at":"2026-05-18T00:00:46.611289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:46.611289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nbRK7TzGZDGUIVeonsQRHVkix4YtBSCPVJxc1JaPrnCEz8QQbx2jSeRgpo4B7FwJDnSOFYPSXqkG2J+z07J5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:46.611696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc61db12ab869d69e9d4997f99c696f2c3de4b7ac374197fa6b0d63f33ac956","sha256:5cb53487bf7b40281037dfd7c17812e790885edf84bfce7068d4190f51d7b161"],"state_sha256":"9c8678360704a4c3c7e8744302b78246f30993d9f6bcce8eb62fc43da8fb47d6"}