{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:LDDGC7AVSOVD2WJWERR22UV23D","short_pith_number":"pith:LDDGC7AV","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"},"canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","source":{"kind":"arxiv","id":"astro-ph/0201498","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0201498","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0201498v2","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0201498","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"LDDGC7AVSOVD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"LDDGC7AVSOVD2WJW","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"LDDGC7AV","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:LDDGC7AVSOVD2WJWERR22UV23D","target":"record","payload":{"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"},"canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","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"},"source_kind":"arxiv","source_id":"astro-ph/0201498","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5lcqXkR27LhwcRX6k0dXjWr11f2cNpb877fTnj68BlTvtgl+D9d9WvLWhtp3pvwaePpLiz6phD5l4N07YwGmAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:08:19.402606Z"},"content_sha256":"108b93c4ca5b65ed87e1279fe485aa4477e2332508cd3b5376439685767e855e","schema_version":"1.0","event_id":"sha256:108b93c4ca5b65ed87e1279fe485aa4477e2332508cd3b5376439685767e855e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:LDDGC7AVSOVD2WJWERR22UV23D","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YfORo3F6hmsUmxXlZ8X3R0jZoJgPy4sC1c6oGEtY6IC0jn09Bz6/r2SV/LR2x+WJsd7FStX70Cb47bm+P9jGBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T21:08:19.402960Z"},"content_sha256":"b9ffd98ed2e944b2cb8e32c69c75ed406696049392bc49c08a12b1f510232114","schema_version":"1.0","event_id":"sha256:b9ffd98ed2e944b2cb8e32c69c75ed406696049392bc49c08a12b1f510232114"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/bundle.json","state_url":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDDGC7AVSOVD2WJWERR22UV23D/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T21:08:19Z","links":{"resolver":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D","bundle":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/bundle.json","state":"https://pith.science/pith/LDDGC7AVSOVD2WJWERR22UV23D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDDGC7AVSOVD2WJWERR22UV23D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:LDDGC7AVSOVD2WJWERR22UV23D","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":"ab0c7d63cd29f505ba8c71fe82f298810c98b081250b6134ae3c64b45cfdc927","cross_cats_sorted":["gr-qc","hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-01-30T07:56:15Z","title_canon_sha256":"cac05003764826e0bb283c0b0c3f464ba420bf55fdcd948d2590c4cb327fa6eb"},"schema_version":"1.0","source":{"id":"astro-ph/0201498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0201498","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0201498v2","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0201498","created_at":"2026-05-18T04:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"LDDGC7AVSOVD","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"LDDGC7AVSOVD2WJW","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"LDDGC7AV","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:b9ffd98ed2e944b2cb8e32c69c75ed406696049392bc49c08a12b1f510232114","target":"graph","created_at":"2026-05-18T04:17:53Z","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 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","authors_text":"A. A. Starobinsky, Tarun Deep Saini, Ujjaini Alam, Varun Sahni","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2002-01-30T07:56:15Z","title":"Statefinder -- a new geometrical diagnostic of dark energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0201498","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":"sha256:108b93c4ca5b65ed87e1279fe485aa4477e2332508cd3b5376439685767e855e","target":"record","created_at":"2026-05-18T04:17:53Z","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":"ab0c7d63cd29f505ba8c71fe82f298810c98b081250b6134ae3c64b45cfdc927","cross_cats_sorted":["gr-qc","hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"2002-01-30T07:56:15Z","title_canon_sha256":"cac05003764826e0bb283c0b0c3f464ba420bf55fdcd948d2590c4cb327fa6eb"},"schema_version":"1.0","source":{"id":"astro-ph/0201498","kind":"arxiv","version":2}},"canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58c6617c1593aa3d59362463ad52bad8eba50e8419904189765a8c7d430ed45a","first_computed_at":"2026-05-18T04:17:53.878624Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:53.878624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6SMO6nfqI4d9srgqcaxTKZ23G0DbBTyKcML+a12gyUnsZEz1C0XN9LYMhzfPZf5X47H7yzhgXUqFNPfSJtfTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:53.879405Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0201498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:108b93c4ca5b65ed87e1279fe485aa4477e2332508cd3b5376439685767e855e","sha256:b9ffd98ed2e944b2cb8e32c69c75ed406696049392bc49c08a12b1f510232114"],"state_sha256":"5e1fc96e0e70a44b63126698f1c9591ae9f33bc77039de9815368ad1c7b57318"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jZ4FY9yhtKYoNBES7agV0E/33mWb232SXLibm3gC5U2W4AsAfGzkamkRPkqa1TUMQrto2vfmTaKyFtJg7EOiAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T21:08:19.405235Z","bundle_sha256":"a380c00b3f374b28c713f8a84b50d35d598de370c47cb267ef7ef2a84e132e85"}}