{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:46NIU443GHXUDHTY6IOA3MMNPN","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":"994e288495b3a18946f6bc36e043cd11e18df512890103b8b2c417185e513dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-24T14:53:42Z","title_canon_sha256":"1b41fb1e4e8a173b2162dcba1260b74e20126e21475771dc291434e556c2472d"},"schema_version":"1.0","source":{"id":"1005.4343","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.4343","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"1005.4343v2","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.4343","created_at":"2026-05-18T04:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"46NIU443GHXU","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"46NIU443GHXUDHTY","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"46NIU443","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:a0426a214423d72de54423d2a66ce43d7f64b47a5b38566e625ec5f49e61a3ac","target":"graph","created_at":"2026-05-18T04:11:08Z","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 restrict purely kinetic k-essence. Assuming the equation of state is a power law of the kinetic energy: $w=w_0X^{\\alpha}$, to obtain accelerated phases, we must have $\\alpha>0$ as one of necessary conditions, constrained from the conditions for stability and causality, and the k-essence must behave like phantom. We also study the evolutions of the equation of state and the speed of sound with numerical simulation.","authors_text":"Rong-Jia Yang, Xiang-Ting Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-24T14:53:42Z","title":"Restrictions on purely kinetic k-essence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4343","kind":"arxiv","version":2},"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:cfa49d929c6411c7e35df27cf6594b0be89d5d4b86ee032ff82286e50a6f5fa4","target":"record","created_at":"2026-05-18T04:11:08Z","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":"994e288495b3a18946f6bc36e043cd11e18df512890103b8b2c417185e513dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-24T14:53:42Z","title_canon_sha256":"1b41fb1e4e8a173b2162dcba1260b74e20126e21475771dc291434e556c2472d"},"schema_version":"1.0","source":{"id":"1005.4343","kind":"arxiv","version":2}},"canonical_sha256":"e79a8a739b31ef419e78f21c0db18d7b426a4c79b52e9676b291f5c8725580e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e79a8a739b31ef419e78f21c0db18d7b426a4c79b52e9676b291f5c8725580e7","first_computed_at":"2026-05-18T04:11:08.526600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:08.526600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gtHwKYH/UTqEImgc7OZ00EX/rrPJnbCAxZrPFR5xKAvJcJWF08QBm98dpSL4pVJy0aFTqqKgDaVVNHXT03I6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:08.527202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.4343","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cfa49d929c6411c7e35df27cf6594b0be89d5d4b86ee032ff82286e50a6f5fa4","sha256:a0426a214423d72de54423d2a66ce43d7f64b47a5b38566e625ec5f49e61a3ac"],"state_sha256":"11a224a5f7cfd2baa832b2538ac281f65150df6888f4fbbf2a116d94461cfc43"}