{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:EBGVV63LPF3OSZGYQJTCNMS3EJ","short_pith_number":"pith:EBGVV63L","schema_version":"1.0","canonical_sha256":"204d5afb6b7976e964d8826626b25b224eb17a86eab41398931e1e7b900d49cb","source":{"kind":"arxiv","id":"1907.12792","version":1},"attestation_state":"computed","paper":{"title":"A General Relativistic Approach to Small-Scale Structure Formation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dipanjan Dey, Pankaj S. Joshi, Prashant Kocherlakota","submitted_at":"2019-07-30T09:07:34Z","abstract_excerpt":"We treat here general relativistically the issue of galaxy formation, which is a major problem in cosmology. While the current models use a top-hat collapse model, coupled with Newtonian virialization technique to balance the gravitationally collapsing matter cloud into a galaxy, we present here a general relativistic toy model to achieve such a purpose. We consider a relativistic gravitational collapse that begins from physically reasonable and non-singular initial conditions and that tends to an equilibrium configuration in asymptotic time. The matching of different spacetime regions is expl"},"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":"1907.12792","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2019-07-30T09:07:34Z","cross_cats_sorted":[],"title_canon_sha256":"eed0d44f7e064e929dced88bda81a4e10b1bb4ef67d5b6086730cb4f23477b7e","abstract_canon_sha256":"1203ee743a6f17f08e0cbda80317cf6cf75befbc13b1f063475fd8397b2b1d38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:50:24.500003Z","signature_b64":"Bji6tHhQxdRGrX4pmLRpnDqdZJ8rCDDVFcJoixEpcHJKbYlAJ3JLs2zAitU5co/nAhbPT2uMh66XJXOSSLkvCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204d5afb6b7976e964d8826626b25b224eb17a86eab41398931e1e7b900d49cb","last_reissued_at":"2026-07-04T23:50:24.499621Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:50:24.499621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A General Relativistic Approach to Small-Scale Structure Formation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dipanjan Dey, Pankaj S. Joshi, Prashant Kocherlakota","submitted_at":"2019-07-30T09:07:34Z","abstract_excerpt":"We treat here general relativistically the issue of galaxy formation, which is a major problem in cosmology. While the current models use a top-hat collapse model, coupled with Newtonian virialization technique to balance the gravitationally collapsing matter cloud into a galaxy, we present here a general relativistic toy model to achieve such a purpose. We consider a relativistic gravitational collapse that begins from physically reasonable and non-singular initial conditions and that tends to an equilibrium configuration in asymptotic time. The matching of different spacetime regions is expl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.12792","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/1907.12792/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":"1907.12792","created_at":"2026-07-04T23:50:24.499672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.12792v1","created_at":"2026-07-04T23:50:24.499672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.12792","created_at":"2026-07-04T23:50:24.499672+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBGVV63LPF3O","created_at":"2026-07-04T23:50:24.499672+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBGVV63LPF3OSZGY","created_at":"2026-07-04T23:50:24.499672+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBGVV63L","created_at":"2026-07-04T23:50:24.499672+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/EBGVV63LPF3OSZGYQJTCNMS3EJ","json":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ.json","graph_json":"https://pith.science/api/pith-number/EBGVV63LPF3OSZGYQJTCNMS3EJ/graph.json","events_json":"https://pith.science/api/pith-number/EBGVV63LPF3OSZGYQJTCNMS3EJ/events.json","paper":"https://pith.science/paper/EBGVV63L"},"agent_actions":{"view_html":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ","download_json":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ.json","view_paper":"https://pith.science/paper/EBGVV63L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.12792&json=true","fetch_graph":"https://pith.science/api/pith-number/EBGVV63LPF3OSZGYQJTCNMS3EJ/graph.json","fetch_events":"https://pith.science/api/pith-number/EBGVV63LPF3OSZGYQJTCNMS3EJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ/action/storage_attestation","attest_author":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ/action/author_attestation","sign_citation":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ/action/citation_signature","submit_replication":"https://pith.science/pith/EBGVV63LPF3OSZGYQJTCNMS3EJ/action/replication_record"}},"created_at":"2026-07-04T23:50:24.499672+00:00","updated_at":"2026-07-04T23:50:24.499672+00:00"}