{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LC3VXOOOKMGLFTESECP55MRSQI","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":"989a2f6b7b640909b5ded560fe3b1d548f9d7925cdab935df06245d57100bf70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-19T07:29:14Z","title_canon_sha256":"c5f03c674636f04b2413c63f97eda684dacea73f499431cb7c76dad3f4e137f2"},"schema_version":"1.0","source":{"id":"1409.5533","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5533","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5533v2","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5533","created_at":"2026-05-18T02:18:51Z"},{"alias_kind":"pith_short_12","alias_value":"LC3VXOOOKMGL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LC3VXOOOKMGLFTES","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LC3VXOOO","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:b0982809adebdbe45c12b987773b036a5af5f1d2bb1e54ff9dcf9c2f7ed252a2","target":"graph","created_at":"2026-05-18T02:18:51Z","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":"The coupling between dark sectors provides a possible approach to mitigate the coincidence problem of cosmological standard model. In this paper, dark energy is treated as a fluid with a constant equation of state, whose coupling with dark matter is proportional the Hubble parameter and energy density of dark energy, that is, $\\bar{Q}=3\\xi_x\\bar{H}\\bar{\\rho}_x$. Particularly, we consider the Hubble expansion rate to be perturbed in the perturbation evolutions of dark sectors. Using jointing data sets which include cosmic microwave background radiation, baryon acoustic oscillation, type Ia supe","authors_text":"Lixin Xu, Weiqiang Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-19T07:29:14Z","title":"Coupled dark energy with perturbed Hubble expansion rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5533","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:c800517f345773f0a583bcfcc22e518d44cad016348091894e520ac601614570","target":"record","created_at":"2026-05-18T02:18:51Z","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":"989a2f6b7b640909b5ded560fe3b1d548f9d7925cdab935df06245d57100bf70","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-09-19T07:29:14Z","title_canon_sha256":"c5f03c674636f04b2413c63f97eda684dacea73f499431cb7c76dad3f4e137f2"},"schema_version":"1.0","source":{"id":"1409.5533","kind":"arxiv","version":2}},"canonical_sha256":"58b75bb9ce530cb2cc92209fdeb232820c08686ef15c8ae94719a2aac4a27afc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58b75bb9ce530cb2cc92209fdeb232820c08686ef15c8ae94719a2aac4a27afc","first_computed_at":"2026-05-18T02:18:51.620012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:51.620012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fnM81S/tizjZqL0xOv+6QHyjeXFRrkdoyMrW6dtGVwLwHjsa7i47vgvbyFQe96r3QclHSxQHEt6hjf6Y8RVDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:51.620533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5533","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c800517f345773f0a583bcfcc22e518d44cad016348091894e520ac601614570","sha256:b0982809adebdbe45c12b987773b036a5af5f1d2bb1e54ff9dcf9c2f7ed252a2"],"state_sha256":"ef21d3a2d4d66c111290c4302f41cf1d9bcb8a81b9367d7ca6d9b61e7868a6bb"}