{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HLH7JYANGICA4HUAVNRA5SD4OO","short_pith_number":"pith:HLH7JYAN","schema_version":"1.0","canonical_sha256":"3acff4e00d32040e1e80ab620ec87c73ac7bf39afccd54910ba1787f591b2117","source":{"kind":"arxiv","id":"2010.00603","version":2},"attestation_state":"computed","paper":{"title":"Evolution of the density PDF in star forming clouds: the role of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"astro-ph.GA","authors_text":"Etienne Jaupart, Gilles Chabrier","submitted_at":"2020-10-01T18:00:05Z","abstract_excerpt":"We derive an analytical theory of the PDF of density fluctuations in supersonic turbulence in the presence of gravity in star-forming clouds. The theory is based on a rigorous derivation of a combination of the Navier-Stokes continuity equations for the fluid motions and the Poisson equation for the gravity. It extends upon previous approaches first by including gravity, second by considering the PDF as a dynamical system, not a stationary one. We derive the transport equations of the density PDF, characterize its evolution and determine the density threshold above which gravity strongly affec"},"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":"2010.00603","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-10-01T18:00:05Z","cross_cats_sorted":["astro-ph.SR"],"title_canon_sha256":"31622d3f24d11493477da805c6b97828bcd5d62fc2e336121460d5d257d2bbab","abstract_canon_sha256":"809d4ae332a8d254712c46788e2f7b9e0c4d3d3ac73bb469d5dae54f012948bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:50:35.323420Z","signature_b64":"VCbzDwNbRisKsB1tr2fnwzgJRwMTzDlPGKCnHi5z70Os89fWA+dYZZrONkodSOS6Lp4pAf0WuWa/emb8/HDcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3acff4e00d32040e1e80ab620ec87c73ac7bf39afccd54910ba1787f591b2117","last_reissued_at":"2026-07-05T01:50:35.323006Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:50:35.323006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution of the density PDF in star forming clouds: the role of gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"astro-ph.GA","authors_text":"Etienne Jaupart, Gilles Chabrier","submitted_at":"2020-10-01T18:00:05Z","abstract_excerpt":"We derive an analytical theory of the PDF of density fluctuations in supersonic turbulence in the presence of gravity in star-forming clouds. The theory is based on a rigorous derivation of a combination of the Navier-Stokes continuity equations for the fluid motions and the Poisson equation for the gravity. It extends upon previous approaches first by including gravity, second by considering the PDF as a dynamical system, not a stationary one. We derive the transport equations of the density PDF, characterize its evolution and determine the density threshold above which gravity strongly affec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.00603","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/2010.00603/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":"2010.00603","created_at":"2026-07-05T01:50:35.323062+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.00603v2","created_at":"2026-07-05T01:50:35.323062+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.00603","created_at":"2026-07-05T01:50:35.323062+00:00"},{"alias_kind":"pith_short_12","alias_value":"HLH7JYANGICA","created_at":"2026-07-05T01:50:35.323062+00:00"},{"alias_kind":"pith_short_16","alias_value":"HLH7JYANGICA4HUA","created_at":"2026-07-05T01:50:35.323062+00:00"},{"alias_kind":"pith_short_8","alias_value":"HLH7JYAN","created_at":"2026-07-05T01:50:35.323062+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/HLH7JYANGICA4HUAVNRA5SD4OO","json":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO.json","graph_json":"https://pith.science/api/pith-number/HLH7JYANGICA4HUAVNRA5SD4OO/graph.json","events_json":"https://pith.science/api/pith-number/HLH7JYANGICA4HUAVNRA5SD4OO/events.json","paper":"https://pith.science/paper/HLH7JYAN"},"agent_actions":{"view_html":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO","download_json":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO.json","view_paper":"https://pith.science/paper/HLH7JYAN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.00603&json=true","fetch_graph":"https://pith.science/api/pith-number/HLH7JYANGICA4HUAVNRA5SD4OO/graph.json","fetch_events":"https://pith.science/api/pith-number/HLH7JYANGICA4HUAVNRA5SD4OO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO/action/storage_attestation","attest_author":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO/action/author_attestation","sign_citation":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO/action/citation_signature","submit_replication":"https://pith.science/pith/HLH7JYANGICA4HUAVNRA5SD4OO/action/replication_record"}},"created_at":"2026-07-05T01:50:35.323062+00:00","updated_at":"2026-07-05T01:50:35.323062+00:00"}