{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VCQJBG4XMAC6FVMRG6DZK66WII","short_pith_number":"pith:VCQJBG4X","schema_version":"1.0","canonical_sha256":"a8a0909b976005e2d5913787957bd6421774461478c10aa0cec42342e15cb628","source":{"kind":"arxiv","id":"1610.06577","version":2},"attestation_state":"computed","paper":{"title":"Criteria for gravitational instability and quasi-isolated gravitational collapse in turbulent medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"astro-ph.GA","authors_text":"Guang-Xing Li","submitted_at":"2016-10-20T20:00:06Z","abstract_excerpt":"We study the evolution of structures in turbulent, self-gravitating media, and present an analytical criterion $M_{\\rm crit} \\approx \\epsilon_{\\rm cascade}^{2/3} \\eta^{-2/3} G^{-1} l^{5/3}$ (where $M_{\\rm crit}$ is the critical mass, $l$ is the scale, $\\epsilon_{\\rm cascade}\\approx \\eta \\sigma_{\\rm v}^3 /l $ is the turbulence energy dissipation rate of the ambient medium, $G$ is the gravitational constant, $\\sigma_{\\rm v}$ is the velocity dispersion, $l$ is the scale and $\\eta\\approx 0.2$ is an efficiency parameter) for an object to undergo quasi-isolated gravitational collapse. The criterion "},"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":"1610.06577","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-10-20T20:00:06Z","cross_cats_sorted":["astro-ph.SR"],"title_canon_sha256":"c49b14c444c06bf33955fc4b3739478d2714e0af8ef8175e7e75b1e1d52000f9","abstract_canon_sha256":"0bed0db9086d8a741ab95e83ef838f7fbfc7add9b8f044de72375280b81e2457"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:30.717278Z","signature_b64":"bEZ2rAptBmY+m8Ndk8zDC8vnS4d6+xrZ1dyjAUB3qoLZ1wW4+bggRRRkgPk7eyPIqLh+3AB4+VWkvjzQU04wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8a0909b976005e2d5913787957bd6421774461478c10aa0cec42342e15cb628","last_reissued_at":"2026-05-18T01:01:30.716754Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:30.716754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Criteria for gravitational instability and quasi-isolated gravitational collapse in turbulent medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"astro-ph.GA","authors_text":"Guang-Xing Li","submitted_at":"2016-10-20T20:00:06Z","abstract_excerpt":"We study the evolution of structures in turbulent, self-gravitating media, and present an analytical criterion $M_{\\rm crit} \\approx \\epsilon_{\\rm cascade}^{2/3} \\eta^{-2/3} G^{-1} l^{5/3}$ (where $M_{\\rm crit}$ is the critical mass, $l$ is the scale, $\\epsilon_{\\rm cascade}\\approx \\eta \\sigma_{\\rm v}^3 /l $ is the turbulence energy dissipation rate of the ambient medium, $G$ is the gravitational constant, $\\sigma_{\\rm v}$ is the velocity dispersion, $l$ is the scale and $\\eta\\approx 0.2$ is an efficiency parameter) for an object to undergo quasi-isolated gravitational collapse. The criterion "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06577","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":""},"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":"1610.06577","created_at":"2026-05-18T01:01:30.716858+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.06577v2","created_at":"2026-05-18T01:01:30.716858+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06577","created_at":"2026-05-18T01:01:30.716858+00:00"},{"alias_kind":"pith_short_12","alias_value":"VCQJBG4XMAC6","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VCQJBG4XMAC6FVMR","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VCQJBG4X","created_at":"2026-05-18T12:30:48.956258+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.17708","citing_title":"BISTRO Survey: Gravity-Dominated and Magnetically Regulated Star Formation in M17 SW","ref_index":76,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII","json":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII.json","graph_json":"https://pith.science/api/pith-number/VCQJBG4XMAC6FVMRG6DZK66WII/graph.json","events_json":"https://pith.science/api/pith-number/VCQJBG4XMAC6FVMRG6DZK66WII/events.json","paper":"https://pith.science/paper/VCQJBG4X"},"agent_actions":{"view_html":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII","download_json":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII.json","view_paper":"https://pith.science/paper/VCQJBG4X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.06577&json=true","fetch_graph":"https://pith.science/api/pith-number/VCQJBG4XMAC6FVMRG6DZK66WII/graph.json","fetch_events":"https://pith.science/api/pith-number/VCQJBG4XMAC6FVMRG6DZK66WII/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII/action/storage_attestation","attest_author":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII/action/author_attestation","sign_citation":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII/action/citation_signature","submit_replication":"https://pith.science/pith/VCQJBG4XMAC6FVMRG6DZK66WII/action/replication_record"}},"created_at":"2026-05-18T01:01:30.716858+00:00","updated_at":"2026-05-18T01:01:30.716858+00:00"}