{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:IGMOE6KJK2JWWJUDCQ2OWVLQBL","short_pith_number":"pith:IGMOE6KJ","schema_version":"1.0","canonical_sha256":"4198e2794956936b26831434eb55700ae832c8955ca2e34fc183d9007aacb3bb","source":{"kind":"arxiv","id":"2407.14378","version":3},"attestation_state":"computed","paper":{"title":"New simple and accurate quintessence approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Artur Alho, Claes Uggla","submitted_at":"2024-07-19T15:06:16Z","abstract_excerpt":"We derive new approximations for quintessence solutions that are simpler and an order of magnitude more accurate than anything available in the literature, which from an observational perspective \\emph{makes numerical calculations superfluous}. For example, our tracking quintessence approximation yields $\\sim 0.1\\%$ maximum relative errors of $H(z)/H_0$ and $\\Omega_\\mathrm{m}(z)$ for the observationally viable inverse power law scalar field potentials, and similarly for viable thawing quintessence models using two slow-roll parameters. The approximations are trivially computed from the scalar "},"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":"2407.14378","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-19T15:06:16Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"69fa51bbfb34546922bec1a9696d6db016b1ce6e9f41731ef6b5159f45c80759","abstract_canon_sha256":"63fdaa35305c016cd34599ae1eff525bcba1f51eb46cd4887868318060077d8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:58:17.316769Z","signature_b64":"izwSWCtyR+Ln0ewpR+SEFVIw64l4QF9UMpcRRa+1zLpXXrs1/TT0yHuDztqYsNHOBCdwE2v19MyeQfgLQcs2Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4198e2794956936b26831434eb55700ae832c8955ca2e34fc183d9007aacb3bb","last_reissued_at":"2026-07-05T10:58:17.316191Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:58:17.316191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New simple and accurate quintessence approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Artur Alho, Claes Uggla","submitted_at":"2024-07-19T15:06:16Z","abstract_excerpt":"We derive new approximations for quintessence solutions that are simpler and an order of magnitude more accurate than anything available in the literature, which from an observational perspective \\emph{makes numerical calculations superfluous}. For example, our tracking quintessence approximation yields $\\sim 0.1\\%$ maximum relative errors of $H(z)/H_0$ and $\\Omega_\\mathrm{m}(z)$ for the observationally viable inverse power law scalar field potentials, and similarly for viable thawing quintessence models using two slow-roll parameters. The approximations are trivially computed from the scalar "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.14378","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.14378/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2407.14378","created_at":"2026-07-05T10:58:17.316254+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.14378v3","created_at":"2026-07-05T10:58:17.316254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.14378","created_at":"2026-07-05T10:58:17.316254+00:00"},{"alias_kind":"pith_short_12","alias_value":"IGMOE6KJK2JW","created_at":"2026-07-05T10:58:17.316254+00:00"},{"alias_kind":"pith_short_16","alias_value":"IGMOE6KJK2JWWJUD","created_at":"2026-07-05T10:58:17.316254+00:00"},{"alias_kind":"pith_short_8","alias_value":"IGMOE6KJ","created_at":"2026-07-05T10:58:17.316254+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.13047","citing_title":"Simple quintessence models in light of DESI-BAO observations","ref_index":37,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL","json":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL.json","graph_json":"https://pith.science/api/pith-number/IGMOE6KJK2JWWJUDCQ2OWVLQBL/graph.json","events_json":"https://pith.science/api/pith-number/IGMOE6KJK2JWWJUDCQ2OWVLQBL/events.json","paper":"https://pith.science/paper/IGMOE6KJ"},"agent_actions":{"view_html":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL","download_json":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL.json","view_paper":"https://pith.science/paper/IGMOE6KJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.14378&json=true","fetch_graph":"https://pith.science/api/pith-number/IGMOE6KJK2JWWJUDCQ2OWVLQBL/graph.json","fetch_events":"https://pith.science/api/pith-number/IGMOE6KJK2JWWJUDCQ2OWVLQBL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL/action/storage_attestation","attest_author":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL/action/author_attestation","sign_citation":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL/action/citation_signature","submit_replication":"https://pith.science/pith/IGMOE6KJK2JWWJUDCQ2OWVLQBL/action/replication_record"}},"created_at":"2026-07-05T10:58:17.316254+00:00","updated_at":"2026-07-05T10:58:17.316254+00:00"}