{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C3IMJTSDL4BDPTT6XAO4OIPKHM","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":"d9caca7126c35ca3f7a63ff991554093fb63146a573fc00c1c2d503ea9035878","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-04T19:15:24Z","title_canon_sha256":"44833c81c764157c4bdefc7e418170457918e8d9f290ebbc111e223f7c15d502"},"schema_version":"1.0","source":{"id":"1607.00996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.00996","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"1607.00996v1","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00996","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"C3IMJTSDL4BD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C3IMJTSDL4BDPTT6","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C3IMJTSD","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:e7bf0b0bf9bae53936a6d174828166275da548c8a6cc6f71f041f7b939c7b02c","target":"graph","created_at":"2026-05-18T01:11:33Z","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 study a recently proposed new cosmological phase where a scalar field moves periodically in an expanding spatially-flat Friedmann universe. This phase corresponds to a limiting cycle of the equations of motion and can be considered as a cosmological realization of a \"time-crystal\". We show that this phase is only possible, provided the Null Energy Condition is violated and the so-called Phantom divide is crossed. We prove that in general k-essence models: i) this crossing causes infinite growth of quantum perturbations on short scales, and ii) exactly periodic solutions are only possible, p","authors_text":"Alexander Vikman, Damien A. Easson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-04T19:15:24Z","title":"The Phantom of the New Oscillatory Cosmological Phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00996","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":"sha256:4d4e7d2b0a3373a78b85bb665234e517d793ea4de8b6e768cc6f2c92fb4e9433","target":"record","created_at":"2026-05-18T01:11:33Z","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":"d9caca7126c35ca3f7a63ff991554093fb63146a573fc00c1c2d503ea9035878","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-04T19:15:24Z","title_canon_sha256":"44833c81c764157c4bdefc7e418170457918e8d9f290ebbc111e223f7c15d502"},"schema_version":"1.0","source":{"id":"1607.00996","kind":"arxiv","version":1}},"canonical_sha256":"16d0c4ce435f0237ce7eb81dc721ea3b2fb2e107647180dfafb6f2de75f7b10f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16d0c4ce435f0237ce7eb81dc721ea3b2fb2e107647180dfafb6f2de75f7b10f","first_computed_at":"2026-05-18T01:11:33.947872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:33.947872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zj8jmlVGfwPnNGn6awYGoKCyD72VqTCQqSX2edMDpZ2JsGi0CMxERVsDyxHXkDONHERt9IO/SIzhyHAr8cuJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:33.948308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.00996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d4e7d2b0a3373a78b85bb665234e517d793ea4de8b6e768cc6f2c92fb4e9433","sha256:e7bf0b0bf9bae53936a6d174828166275da548c8a6cc6f71f041f7b939c7b02c"],"state_sha256":"497f7c27e0b22d60995e7cdcfa3d03c532bcc1b071447022cdeae24db2af62ff"}