{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:PYTSKKFX2YH7MV3JAHKBZICVGM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"920dcc5ab9aa685a9e0bf0973869ee4ce69c080934da1da9f7c1e644b29aef84","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-14T10:56:00Z","title_canon_sha256":"5c102c32841f9fce5a2c8a1caf2c6649991518e1442639c0669e6313c1238636"},"schema_version":"1.0","source":{"id":"astro-ph/0009227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0009227","created_at":"2026-05-18T04:38:15Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0009227v1","created_at":"2026-05-18T04:38:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0009227","created_at":"2026-05-18T04:38:15Z"},{"alias_kind":"pith_short_12","alias_value":"PYTSKKFX2YH7","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"PYTSKKFX2YH7MV3J","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"PYTSKKFX","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:d863d2a497a12c09378d59a214bd6f666af33312261b036ca1d51a30c9235d07","target":"graph","created_at":"2026-05-18T04:38:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Hydrodynamic supersonic turbulence can only prevent local gravitational collapse if the turbulence is driven on scales smaller than the local Jeans lengths in the densest regions, a very severe requirement (Paper I). Magnetic fields have been suggested to support molecular clouds either magnetostatically or via magnetohydrodynamic (MHD) waves. Whereas the first mechanism would form sheet-like clouds, the second mechanism not only could exert a pressure onto the gas counteracting the gravitational forces, but could lead to a transfer of turbulent kinetic energy down to smaller spatial scales vi","authors_text":"F. Heitsch, M.-M. Mac Low, R.S. Klessen","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2000-09-14T10:56:00Z","title":"Gravitational Collapse in Turbulent Molecular Clouds. II. Magnetohydrodynamical Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0009227","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6d9d4d42dbc1bf8b46c984d3dd4ddf39d86c195de711ab155895b110f73520ee","target":"record","created_at":"2026-05-18T04:38:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"920dcc5ab9aa685a9e0bf0973869ee4ce69c080934da1da9f7c1e644b29aef84","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-14T10:56:00Z","title_canon_sha256":"5c102c32841f9fce5a2c8a1caf2c6649991518e1442639c0669e6313c1238636"},"schema_version":"1.0","source":{"id":"astro-ph/0009227","kind":"arxiv","version":1}},"canonical_sha256":"7e272528b7d60ff6576901d41ca055331e0a0b9854fdc7e16b6ee8c89818beda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e272528b7d60ff6576901d41ca055331e0a0b9854fdc7e16b6ee8c89818beda","first_computed_at":"2026-05-18T04:38:15.934412Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:15.934412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ha61Cwp0hSh/UvkIlnWJ7oWQITziKIvbiStZg9ZzTgKRHuhgiddE95xczAuqoYDWZW8lAj6W6nCyJF4p6W9ODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:15.934883Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0009227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d9d4d42dbc1bf8b46c984d3dd4ddf39d86c195de711ab155895b110f73520ee","sha256:d863d2a497a12c09378d59a214bd6f666af33312261b036ca1d51a30c9235d07"],"state_sha256":"146ea2128fb00ed9448a5f128905ef6441f93789e85ebd2086d27cbc7a0c80f2"}