{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HLFAUYRKZIFICJRFMGCUPUXE6B","short_pith_number":"pith:HLFAUYRK","schema_version":"1.0","canonical_sha256":"3aca0a622aca0a812625618547d2e4f05de7e3ea3cd25cba35beaf72316c3c43","source":{"kind":"arxiv","id":"1606.07875","version":3},"attestation_state":"computed","paper":{"title":"Self-gravitating fluid systems and galactic dark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.GA","authors_text":"Dipanjan Dey, Kaushik Bhattacharya, Tapobrata Sarkar, Uddipan Banik","submitted_at":"2016-06-25T06:44:51Z","abstract_excerpt":"We study gravitational collapse with anisotropic pressures, whose end stage can mimic space-times that are seeded by galactic dark matter. To this end, we identify a class of space-times (with conical defects) that can arise out of such a collapse process, and admit stable circular orbits at all radial distances. These have a naked singularity at the origin. An example of such a space-time is seen to be the Bertrand space-time discovered by Perlick, that admits closed, stable orbits at all radii. Using relativistic two- fluid models, we show that our galactic space-times might indicate exotic "},"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":"1606.07875","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-06-25T06:44:51Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0e0cfe59de0361bfd7d24dc356fa2fd221fbff6329da212578cba8e61ce38477","abstract_canon_sha256":"80ebaa2ddd548f6376dcaa51258eebc91cc8eda8ffb3b699acb1d0373fcb53c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:33.256098Z","signature_b64":"HPc+qqB6URarbjT8teRpq0aTzcFsSPblPf4hNvr2T/c4eF38EXL6kAN9Qa1zcJyu8W8Y3bil+4nSH3Cyb7n+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3aca0a622aca0a812625618547d2e4f05de7e3ea3cd25cba35beaf72316c3c43","last_reissued_at":"2026-05-18T00:36:33.255529Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:33.255529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-gravitating fluid systems and galactic dark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.GA","authors_text":"Dipanjan Dey, Kaushik Bhattacharya, Tapobrata Sarkar, Uddipan Banik","submitted_at":"2016-06-25T06:44:51Z","abstract_excerpt":"We study gravitational collapse with anisotropic pressures, whose end stage can mimic space-times that are seeded by galactic dark matter. To this end, we identify a class of space-times (with conical defects) that can arise out of such a collapse process, and admit stable circular orbits at all radial distances. These have a naked singularity at the origin. An example of such a space-time is seen to be the Bertrand space-time discovered by Perlick, that admits closed, stable orbits at all radii. Using relativistic two- fluid models, we show that our galactic space-times might indicate exotic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.07875","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":""},"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":"1606.07875","created_at":"2026-05-18T00:36:33.255605+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.07875v3","created_at":"2026-05-18T00:36:33.255605+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.07875","created_at":"2026-05-18T00:36:33.255605+00:00"},{"alias_kind":"pith_short_12","alias_value":"HLFAUYRKZIFI","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HLFAUYRKZIFICJRF","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HLFAUYRK","created_at":"2026-05-18T12:30:19.053100+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/HLFAUYRKZIFICJRFMGCUPUXE6B","json":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B.json","graph_json":"https://pith.science/api/pith-number/HLFAUYRKZIFICJRFMGCUPUXE6B/graph.json","events_json":"https://pith.science/api/pith-number/HLFAUYRKZIFICJRFMGCUPUXE6B/events.json","paper":"https://pith.science/paper/HLFAUYRK"},"agent_actions":{"view_html":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B","download_json":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B.json","view_paper":"https://pith.science/paper/HLFAUYRK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.07875&json=true","fetch_graph":"https://pith.science/api/pith-number/HLFAUYRKZIFICJRFMGCUPUXE6B/graph.json","fetch_events":"https://pith.science/api/pith-number/HLFAUYRKZIFICJRFMGCUPUXE6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B/action/storage_attestation","attest_author":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B/action/author_attestation","sign_citation":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B/action/citation_signature","submit_replication":"https://pith.science/pith/HLFAUYRKZIFICJRFMGCUPUXE6B/action/replication_record"}},"created_at":"2026-05-18T00:36:33.255605+00:00","updated_at":"2026-05-18T00:36:33.255605+00:00"}