{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:LDDGC7AVSOVD2WJWERR22UV23D","short_pith_number":"pith:LDDGC7AV","schema_version":"1.0","canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","source":{"kind":"arxiv","id":"astro-ph/0201498","version":2},"attestation_state":"computed","paper":{"title":"Statefinder -- a new geometrical diagnostic of dark energy","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph","authors_text":"A. A. Starobinsky, Tarun Deep Saini, Ujjaini Alam, Varun Sahni","submitted_at":"2002-01-30T07:56:15Z","abstract_excerpt":"We introduce a new cosmological diagnostic pair $\\lbrace r,s\\rbrace$ called Statefinder. The Statefinder is dimensionless and, like the Hubble and deceleration parameters $H(z)$ and $q(z)$, is constructed from the scale factor of the Universe and its derivatives only. The parameter $r(z)$ forms the next step in the hierarchy of geometrical cosmological parameters used to study the Universe after $H$ and $q$, while the parameter $s(z)$ is a linear combination of $q$ and $r$ chosen in such a way that it does not depend upon the dark energy density $\\Omega_X(z)$. The Statefinder pair $\\lbrace r,s"},"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":"astro-ph/0201498","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-01-30T07:56:15Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"cac05003764826e0bb283c0b0c3f464ba420bf55fdcd948d2590c4cb327fa6eb","abstract_canon_sha256":"ab0c7d63cd29f505ba8c71fe82f298810c98b081250b6134ae3c64b45cfdc927"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:53.879405Z","signature_b64":"6SMO6nfqI4d9srgqcaxTKZ23G0DbBTyKcML+a12gyUnsZEz1C0XN9LYMhzfPZf5X47H7yzhgXUqFNPfSJtfTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","last_reissued_at":"2026-05-18T04:17:53.878624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:53.878624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Statefinder -- a new geometrical diagnostic of dark energy","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph","authors_text":"A. A. Starobinsky, Tarun Deep Saini, Ujjaini Alam, Varun Sahni","submitted_at":"2002-01-30T07:56:15Z","abstract_excerpt":"We introduce a new cosmological diagnostic pair $\\lbrace r,s\\rbrace$ called Statefinder. The Statefinder is dimensionless and, like the Hubble and deceleration parameters $H(z)$ and $q(z)$, is constructed from the scale factor of the Universe and its derivatives only. The parameter $r(z)$ forms the next step in the hierarchy of geometrical cosmological parameters used to study the Universe after $H$ and $q$, while the parameter $s(z)$ is a linear combination of $q$ and $r$ chosen in such a way that it does not depend upon the dark energy density $\\Omega_X(z)$. The Statefinder pair $\\lbrace r,s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0201498","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0201498","created_at":"2026-05-18T04:17:53.878741+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0201498v2","created_at":"2026-05-18T04:17:53.878741+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0201498","created_at":"2026-05-18T04:17:53.878741+00:00"},{"alias_kind":"pith_short_12","alias_value":"LDDGC7AVSOVD","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"LDDGC7AVSOVD2WJW","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"LDDGC7AV","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"1907.06854","citing_title":"$\\Lambda$CDM-like models with future singularities","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2512.04349","citing_title":"Cosmological implications of Bumblebee theory on an FLRW background","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2604.06941","citing_title":"Cosmological Dynamics of Exponential Quintessence Constrained by BAO, Cosmic Chronometers, and DES-SN5YR/Pantheon+ Data","ref_index":114,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D","json":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D.json","graph_json":"https://pith.science/api/pith-number/LDDGC7AVSOVD2WJWERR22UV23D/graph.json","events_json":"https://pith.science/api/pith-number/LDDGC7AVSOVD2WJWERR22UV23D/events.json","paper":"https://pith.science/paper/LDDGC7AV"},"agent_actions":{"view_html":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D","download_json":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D.json","view_paper":"https://pith.science/paper/LDDGC7AV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0201498&json=true","fetch_graph":"https://pith.science/api/pith-number/LDDGC7AVSOVD2WJWERR22UV23D/graph.json","fetch_events":"https://pith.science/api/pith-number/LDDGC7AVSOVD2WJWERR22UV23D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/action/storage_attestation","attest_author":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/action/author_attestation","sign_citation":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/action/citation_signature","submit_replication":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/action/replication_record"}},"created_at":"2026-05-18T04:17:53.878741+00:00","updated_at":"2026-05-18T04:17:53.878741+00:00"}