{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UI2GBLBI5U75JNBMSLYASBSXAP","short_pith_number":"pith:UI2GBLBI","schema_version":"1.0","canonical_sha256":"a23460ac28ed3fd4b42c92f009065703c048cca6162c7fb13f2dec8bdbdde8ee","source":{"kind":"arxiv","id":"2104.11994","version":1},"attestation_state":"computed","paper":{"title":"Turnaround radius in $\\Lambda$CDM, and dark matter cosmologies with shear and vorticity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Antonino Del Popolo, David F. Mota, Man Ho Chan","submitted_at":"2021-04-24T18:06:10Z","abstract_excerpt":"We determine the relationship between the turnaround radius, $R_{\\rm t}$, and mass, $M_{\\rm t}$, in $\\Lambda$CDM, and in dark energy scenarios, using an extended spherical collapse model taking into account the effects of shear and vorticity. We find a more general formula than that usually described in literature, showing a dependence of $R_{\\rm t}$ from shear, and vorticity. The $R_{\\rm t}-M_{\\rm t}$ relation differs from that obtained not taking into account shear, and rotation, especially at galactic scales, differing $\\simeq 30\\%$ from the result given in literature. This has effects on t"},"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":"2104.11994","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-04-24T18:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"4b2f38ff6df004fc0f9a6d6367ff95e5530243f21e3b16967738c91381120538","abstract_canon_sha256":"2c3f6010efcec75e7197c901c704c21186648c81b3d68f7670fd004033203cfa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:34:52.445593Z","signature_b64":"+9xgpUjFYkkksPZp2LU9HP/9JMztgXQR04lE8PwEaj8blcH/GjqwZYQRODWPVYoCXCmTRpME3u1EABiHeXOQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a23460ac28ed3fd4b42c92f009065703c048cca6162c7fb13f2dec8bdbdde8ee","last_reissued_at":"2026-07-05T02:34:52.445162Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:34:52.445162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Turnaround radius in $\\Lambda$CDM, and dark matter cosmologies with shear and vorticity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Antonino Del Popolo, David F. Mota, Man Ho Chan","submitted_at":"2021-04-24T18:06:10Z","abstract_excerpt":"We determine the relationship between the turnaround radius, $R_{\\rm t}$, and mass, $M_{\\rm t}$, in $\\Lambda$CDM, and in dark energy scenarios, using an extended spherical collapse model taking into account the effects of shear and vorticity. We find a more general formula than that usually described in literature, showing a dependence of $R_{\\rm t}$ from shear, and vorticity. The $R_{\\rm t}-M_{\\rm t}$ relation differs from that obtained not taking into account shear, and rotation, especially at galactic scales, differing $\\simeq 30\\%$ from the result given in literature. This has effects on t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.11994","kind":"arxiv","version":1},"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/2104.11994/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":"2104.11994","created_at":"2026-07-05T02:34:52.445227+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.11994v1","created_at":"2026-07-05T02:34:52.445227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.11994","created_at":"2026-07-05T02:34:52.445227+00:00"},{"alias_kind":"pith_short_12","alias_value":"UI2GBLBI5U75","created_at":"2026-07-05T02:34:52.445227+00:00"},{"alias_kind":"pith_short_16","alias_value":"UI2GBLBI5U75JNBM","created_at":"2026-07-05T02:34:52.445227+00:00"},{"alias_kind":"pith_short_8","alias_value":"UI2GBLBI","created_at":"2026-07-05T02:34:52.445227+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP","json":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP.json","graph_json":"https://pith.science/api/pith-number/UI2GBLBI5U75JNBMSLYASBSXAP/graph.json","events_json":"https://pith.science/api/pith-number/UI2GBLBI5U75JNBMSLYASBSXAP/events.json","paper":"https://pith.science/paper/UI2GBLBI"},"agent_actions":{"view_html":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP","download_json":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP.json","view_paper":"https://pith.science/paper/UI2GBLBI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.11994&json=true","fetch_graph":"https://pith.science/api/pith-number/UI2GBLBI5U75JNBMSLYASBSXAP/graph.json","fetch_events":"https://pith.science/api/pith-number/UI2GBLBI5U75JNBMSLYASBSXAP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP/action/storage_attestation","attest_author":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP/action/author_attestation","sign_citation":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP/action/citation_signature","submit_replication":"https://pith.science/pith/UI2GBLBI5U75JNBMSLYASBSXAP/action/replication_record"}},"created_at":"2026-07-05T02:34:52.445227+00:00","updated_at":"2026-07-05T02:34:52.445227+00:00"}