{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:U56ULLOPA73MKKUJWYW7RQGL43","short_pith_number":"pith:U56ULLOP","schema_version":"1.0","canonical_sha256":"a77d45adcf07f6c52a89b62df8c0cbe6f4e4f76cbfd07b8b11018bcd48af5d9a","source":{"kind":"arxiv","id":"1504.05481","version":1},"attestation_state":"computed","paper":{"title":"Effective Theory of Interacting Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"David Langlois, Filippo Vernizzi, J\\'er\\^ome Gleyzes, Michele Mancarella","submitted_at":"2015-04-20T19:59:06Z","abstract_excerpt":"We present a unifying treatment of dark energy and modified gravity that allows distinct conformal-disformal couplings of matter species to the gravitational sector. In this very general approach, we derive the conditions to avoid ghost and gradient instabilities. We compute the equations of motion for background quantities and linear perturbations. We illustrate our formalism with two simple scenarios, where either cold dark matter or a relativistic fluid is nonminimally coupled. This extends previous studies of coupled dark energy to a much broader spectrum of gravitational theories."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1504.05481","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-04-20T19:59:06Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"b5046a0b8a5400e4f0304b8f6f81378605d42cb355abb0452e41e5e1b70d36c8","abstract_canon_sha256":"42be0f4f2fadbc2499350dd448a26c55e8020948663cc3a0c0a0a70b3e3e43ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:00.847216Z","signature_b64":"ITwNDX4uP1tO4x5QIT5NXd9yA5rHSSEBJXU3eMLcrJpbjaWWj+ryr+/zDgUKd12z4FSo+0gj4OLZbWVmRKEiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a77d45adcf07f6c52a89b62df8c0cbe6f4e4f76cbfd07b8b11018bcd48af5d9a","last_reissued_at":"2026-05-18T01:33:00.846622Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:00.846622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective Theory of Interacting Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"David Langlois, Filippo Vernizzi, J\\'er\\^ome Gleyzes, Michele Mancarella","submitted_at":"2015-04-20T19:59:06Z","abstract_excerpt":"We present a unifying treatment of dark energy and modified gravity that allows distinct conformal-disformal couplings of matter species to the gravitational sector. In this very general approach, we derive the conditions to avoid ghost and gradient instabilities. We compute the equations of motion for background quantities and linear perturbations. We illustrate our formalism with two simple scenarios, where either cold dark matter or a relativistic fluid is nonminimally coupled. This extends previous studies of coupled dark energy to a much broader spectrum of gravitational theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05481","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1504.05481","created_at":"2026-05-18T01:33:00.846713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.05481v1","created_at":"2026-05-18T01:33:00.846713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05481","created_at":"2026-05-18T01:33:00.846713+00:00"},{"alias_kind":"pith_short_12","alias_value":"U56ULLOPA73M","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"U56ULLOPA73MKKUJ","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"U56ULLOP","created_at":"2026-05-18T12:29:44.643036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.12606","citing_title":"Radio sirens: inferring $H_0$ with binary black holes and neutral hydrogen in the era of the Einstein Telescope and the SKA Observatory","ref_index":93,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43","json":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43.json","graph_json":"https://pith.science/api/pith-number/U56ULLOPA73MKKUJWYW7RQGL43/graph.json","events_json":"https://pith.science/api/pith-number/U56ULLOPA73MKKUJWYW7RQGL43/events.json","paper":"https://pith.science/paper/U56ULLOP"},"agent_actions":{"view_html":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43","download_json":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43.json","view_paper":"https://pith.science/paper/U56ULLOP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.05481&json=true","fetch_graph":"https://pith.science/api/pith-number/U56ULLOPA73MKKUJWYW7RQGL43/graph.json","fetch_events":"https://pith.science/api/pith-number/U56ULLOPA73MKKUJWYW7RQGL43/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43/action/storage_attestation","attest_author":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43/action/author_attestation","sign_citation":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43/action/citation_signature","submit_replication":"https://pith.science/pith/U56ULLOPA73MKKUJWYW7RQGL43/action/replication_record"}},"created_at":"2026-05-18T01:33:00.846713+00:00","updated_at":"2026-05-18T01:33:00.846713+00:00"}