{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:WJDH4QEN2MLC23TVPJ4TQNNZIF","short_pith_number":"pith:WJDH4QEN","schema_version":"1.0","canonical_sha256":"b2467e408dd3162d6e757a793835b941700ab31a343b72c7b00938b819349651","source":{"kind":"arxiv","id":"astro-ph/0401504","version":2},"attestation_state":"computed","paper":{"title":"On the spherical collapse model in dark energy cosmologies","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph","authors_text":"C. van de Bruck (Oxford Univ.), D.F. Mota","submitted_at":"2004-01-23T15:51:47Z","abstract_excerpt":"We study the spherical collapse model in dark energy cosmologies, in which dark energy is modelled as a minimally coupled scalar field. We first follow the standard assumption that dark energy does not cluster on the scales of interest. Investigating four different popular potentials in detail, we show that the predictions of the spherical collapse model depend on the potential used. We also investigate the dependence on the initial conditions. Secondly, we investigate in how far perturbations in the quintessence field affect the predictions of the spherical collapse model. In doing so, we ass"},"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/0401504","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2004-01-23T15:51:47Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"f364655634febe18459484bfcce5952d11e6c0af6ab1471e30474f28eac52fad","abstract_canon_sha256":"a928182d3e6d0ece62794e4d6dabf8439fb653524fbd4bcc4f039c62f151252d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:42:54.578920Z","signature_b64":"UuHIYDGVVbyRmXBJE2+LfpqN8+tIGzxQ5MgdzMYlrtx6aopbo7+BqjshTzaI7U2i/u+k9vUnC2uC7IPjBSr8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2467e408dd3162d6e757a793835b941700ab31a343b72c7b00938b819349651","last_reissued_at":"2026-07-04T16:42:54.578526Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:42:54.578526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the spherical collapse model in dark energy cosmologies","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph","authors_text":"C. van de Bruck (Oxford Univ.), D.F. Mota","submitted_at":"2004-01-23T15:51:47Z","abstract_excerpt":"We study the spherical collapse model in dark energy cosmologies, in which dark energy is modelled as a minimally coupled scalar field. We first follow the standard assumption that dark energy does not cluster on the scales of interest. Investigating four different popular potentials in detail, we show that the predictions of the spherical collapse model depend on the potential used. We also investigate the dependence on the initial conditions. Secondly, we investigate in how far perturbations in the quintessence field affect the predictions of the spherical collapse model. In doing so, we ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0401504","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0401504/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/0401504","created_at":"2026-07-04T16:42:54.578583+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0401504v2","created_at":"2026-07-04T16:42:54.578583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0401504","created_at":"2026-07-04T16:42:54.578583+00:00"},{"alias_kind":"pith_short_12","alias_value":"WJDH4QEN2MLC","created_at":"2026-07-04T16:42:54.578583+00:00"},{"alias_kind":"pith_short_16","alias_value":"WJDH4QEN2MLC23TV","created_at":"2026-07-04T16:42:54.578583+00:00"},{"alias_kind":"pith_short_8","alias_value":"WJDH4QEN","created_at":"2026-07-04T16:42:54.578583+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.26433","citing_title":"Studying spherical collapse and its implications in the Eddington-inspired Born-Infeld gravity theory","ref_index":22,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26433","citing_title":"Studying spherical collapse and its implications in the Eddington-inspired Born-Infeld gravity theory","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF","json":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF.json","graph_json":"https://pith.science/api/pith-number/WJDH4QEN2MLC23TVPJ4TQNNZIF/graph.json","events_json":"https://pith.science/api/pith-number/WJDH4QEN2MLC23TVPJ4TQNNZIF/events.json","paper":"https://pith.science/paper/WJDH4QEN"},"agent_actions":{"view_html":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF","download_json":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF.json","view_paper":"https://pith.science/paper/WJDH4QEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0401504&json=true","fetch_graph":"https://pith.science/api/pith-number/WJDH4QEN2MLC23TVPJ4TQNNZIF/graph.json","fetch_events":"https://pith.science/api/pith-number/WJDH4QEN2MLC23TVPJ4TQNNZIF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF/action/storage_attestation","attest_author":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF/action/author_attestation","sign_citation":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF/action/citation_signature","submit_replication":"https://pith.science/pith/WJDH4QEN2MLC23TVPJ4TQNNZIF/action/replication_record"}},"created_at":"2026-07-04T16:42:54.578583+00:00","updated_at":"2026-07-04T16:42:54.578583+00:00"}