{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:IQZHZ53Y4QB2FOKTNLERDXNQOL","short_pith_number":"pith:IQZHZ53Y","schema_version":"1.0","canonical_sha256":"44327cf778e403a2b9536ac911ddb072d965630f3f527bb0786452c59c2021a3","source":{"kind":"arxiv","id":"2001.03121","version":1},"attestation_state":"computed","paper":{"title":"A Precise Analytical Approximation for the Deprojection of the S\\'ersic Profile","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Eduardo Vitral, Gary A. Mamon","submitted_at":"2020-01-09T17:33:39Z","abstract_excerpt":"The S\\'ersic model is known to fit well the surface brightness (or surface density) profiles of elliptical galaxies and galaxy bulges, and possibly for dwarf spheroidal galaxies and globular clusters. The deprojected density and mass profiles are important for many astrophysical applications, in particular for mass-orbit modeling of these systems. However, the exact deprojection formula for the S\\'ersic model employs special functions not available in most computer languages. We show that all previous analytical approximations to the 3D density profile are imprecise at low S\\'ersic index ($n \\"},"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":"2001.03121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-01-09T17:33:39Z","cross_cats_sorted":[],"title_canon_sha256":"983a175e5a30769846f391d0e43133bebb2c139cc724fc0464a801eb87900090","abstract_canon_sha256":"299b8cf106e9dade2e9833ad52b5bd25ec6b81dbf38686285590b696ae227032"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:44:42.217143Z","signature_b64":"LZ/i9TPUcZL3Fk8IXYyyIZspPV/vvK9cbTtVpwiEAI5JLQkD3hPwbO0yhq4W4PR7YBwZHMuU2jIti1EdtNpXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44327cf778e403a2b9536ac911ddb072d965630f3f527bb0786452c59c2021a3","last_reissued_at":"2026-07-05T00:44:42.216701Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:44:42.216701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Precise Analytical Approximation for the Deprojection of the S\\'ersic Profile","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Eduardo Vitral, Gary A. Mamon","submitted_at":"2020-01-09T17:33:39Z","abstract_excerpt":"The S\\'ersic model is known to fit well the surface brightness (or surface density) profiles of elliptical galaxies and galaxy bulges, and possibly for dwarf spheroidal galaxies and globular clusters. The deprojected density and mass profiles are important for many astrophysical applications, in particular for mass-orbit modeling of these systems. However, the exact deprojection formula for the S\\'ersic model employs special functions not available in most computer languages. We show that all previous analytical approximations to the 3D density profile are imprecise at low S\\'ersic index ($n \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2001.03121","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/2001.03121/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":"2001.03121","created_at":"2026-07-05T00:44:42.216757+00:00"},{"alias_kind":"arxiv_version","alias_value":"2001.03121v1","created_at":"2026-07-05T00:44:42.216757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2001.03121","created_at":"2026-07-05T00:44:42.216757+00:00"},{"alias_kind":"pith_short_12","alias_value":"IQZHZ53Y4QB2","created_at":"2026-07-05T00:44:42.216757+00:00"},{"alias_kind":"pith_short_16","alias_value":"IQZHZ53Y4QB2FOKT","created_at":"2026-07-05T00:44:42.216757+00:00"},{"alias_kind":"pith_short_8","alias_value":"IQZHZ53Y","created_at":"2026-07-05T00:44:42.216757+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.21260","citing_title":"Dark-matter-induced transients over cosmic time: The role of star formation history profiles","ref_index":40,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL","json":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL.json","graph_json":"https://pith.science/api/pith-number/IQZHZ53Y4QB2FOKTNLERDXNQOL/graph.json","events_json":"https://pith.science/api/pith-number/IQZHZ53Y4QB2FOKTNLERDXNQOL/events.json","paper":"https://pith.science/paper/IQZHZ53Y"},"agent_actions":{"view_html":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL","download_json":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL.json","view_paper":"https://pith.science/paper/IQZHZ53Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2001.03121&json=true","fetch_graph":"https://pith.science/api/pith-number/IQZHZ53Y4QB2FOKTNLERDXNQOL/graph.json","fetch_events":"https://pith.science/api/pith-number/IQZHZ53Y4QB2FOKTNLERDXNQOL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL/action/storage_attestation","attest_author":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL/action/author_attestation","sign_citation":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL/action/citation_signature","submit_replication":"https://pith.science/pith/IQZHZ53Y4QB2FOKTNLERDXNQOL/action/replication_record"}},"created_at":"2026-07-05T00:44:42.216757+00:00","updated_at":"2026-07-05T00:44:42.216757+00:00"}