{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:3DPNLCN4VETPRCXZAQGAOWATMK","short_pith_number":"pith:3DPNLCN4","schema_version":"1.0","canonical_sha256":"d8ded589bca926f88af9040c07581362bb86ff02bbf39504598689ed5ee9d779","source":{"kind":"arxiv","id":"astro-ph/0604485","version":3},"attestation_state":"computed","paper":{"title":"On the Growth of Perturbations as a Test of Dark Energy","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"Edmund Bertschinger","submitted_at":"2006-04-23T12:07:20Z","abstract_excerpt":"The strongest evidence for dark energy comes presently from geometric techniques such as the supernova distance-redshift relation. By combining the measured expansion history with the Friedmann equation one determines the energy density and its time evolution, hence the equation of state of dark energy. Because these methods rely on the Friedmann equation which has not been independently tested it is desirable to find alternative methods that work for both general relativity and other theories of gravity.\n  Assuming that sufficiently large patches of a perturbed Robertson-Walker spacetime evol"},"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/0604485","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-04-23T12:07:20Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"9c18500440245d45cdb747f64176e8dc690cef1ca136424e2a188678d0b9723e","abstract_canon_sha256":"45c33232be8db31557a79a8479bb7f5e3888f8f5d50f8c3875359d4dc68407b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:19:42.837735Z","signature_b64":"As5LsHA6SjbhKBkiFmN8qeTTS1YBUJ/8L3TB9YfWHN+Qn1gXFDWDbhGsOa6hzLYwSLb3UglsAkmhQSLp9wlOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8ded589bca926f88af9040c07581362bb86ff02bbf39504598689ed5ee9d779","last_reissued_at":"2026-07-04T15:19:42.837340Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:19:42.837340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Growth of Perturbations as a Test of Dark Energy","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph","authors_text":"Edmund Bertschinger","submitted_at":"2006-04-23T12:07:20Z","abstract_excerpt":"The strongest evidence for dark energy comes presently from geometric techniques such as the supernova distance-redshift relation. By combining the measured expansion history with the Friedmann equation one determines the energy density and its time evolution, hence the equation of state of dark energy. Because these methods rely on the Friedmann equation which has not been independently tested it is desirable to find alternative methods that work for both general relativity and other theories of gravity.\n  Assuming that sufficiently large patches of a perturbed Robertson-Walker spacetime evol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0604485","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/astro-ph/0604485/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":"astro-ph/0604485","created_at":"2026-07-04T15:19:42.837400+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0604485v3","created_at":"2026-07-04T15:19:42.837400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0604485","created_at":"2026-07-04T15:19:42.837400+00:00"},{"alias_kind":"pith_short_12","alias_value":"3DPNLCN4VETP","created_at":"2026-07-04T15:19:42.837400+00:00"},{"alias_kind":"pith_short_16","alias_value":"3DPNLCN4VETPRCXZ","created_at":"2026-07-04T15:19:42.837400+00:00"},{"alias_kind":"pith_short_8","alias_value":"3DPNLCN4","created_at":"2026-07-04T15:19:42.837400+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.12565","citing_title":"Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias","ref_index":100,"is_internal_anchor":true},{"citing_arxiv_id":"1106.2476","citing_title":"Modified Gravity and Cosmology","ref_index":148,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK","json":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK.json","graph_json":"https://pith.science/api/pith-number/3DPNLCN4VETPRCXZAQGAOWATMK/graph.json","events_json":"https://pith.science/api/pith-number/3DPNLCN4VETPRCXZAQGAOWATMK/events.json","paper":"https://pith.science/paper/3DPNLCN4"},"agent_actions":{"view_html":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK","download_json":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK.json","view_paper":"https://pith.science/paper/3DPNLCN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0604485&json=true","fetch_graph":"https://pith.science/api/pith-number/3DPNLCN4VETPRCXZAQGAOWATMK/graph.json","fetch_events":"https://pith.science/api/pith-number/3DPNLCN4VETPRCXZAQGAOWATMK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK/action/storage_attestation","attest_author":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK/action/author_attestation","sign_citation":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK/action/citation_signature","submit_replication":"https://pith.science/pith/3DPNLCN4VETPRCXZAQGAOWATMK/action/replication_record"}},"created_at":"2026-07-04T15:19:42.837400+00:00","updated_at":"2026-07-04T15:19:42.837400+00:00"}