{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QANQYZATPVNPS7N4J7UYZ3MHWG","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":"71a3184f36ca2dc8f49ceed4c0a16c95c60b8c8ad00786818b951dc12b896968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-10-05T08:09:00Z","title_canon_sha256":"38725af65baf43726b04696251b5f204ab52e8855db8cf74cfc4d83d4cdb5cea"},"schema_version":"1.0","source":{"id":"1110.0917","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.0917","created_at":"2026-05-18T02:00:17Z"},{"alias_kind":"arxiv_version","alias_value":"1110.0917v2","created_at":"2026-05-18T02:00:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.0917","created_at":"2026-05-18T02:00:17Z"},{"alias_kind":"pith_short_12","alias_value":"QANQYZATPVNP","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QANQYZATPVNPS7N4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QANQYZAT","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:9aa4b37405c503499d3fb1fb328f0738e3e7f32d3575618372c2aac5bbdade93","target":"graph","created_at":"2026-05-18T02:00:17Z","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":"Molecular clouds often exhibit filamentary or sheet-like shapes. We compute the free-fall time ($\\tff$) for finite, uniform, self-gravitating circular sheets and filamentary clouds of small but finite thickness, so that their volume density $\\rho$ can still be defined. We find that, for thin sheets, the free-fall time is larger than that of a uniform sphere with the same volume density by a factor proportional to $\\sqrt{A}$, where the aspect ratio $A$ is given by $A=R/h$, $R$ being the sheet's radius and $h$ is its thickness. For filamentary clouds, the aspect ratio is defined as $A=L/\\calR$, ","authors_text":"Enrique V\\'azquez-Semadeni, Gilberto C. G\\'omez, Jes\\'us A. Toal\\'a","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-10-05T08:09:00Z","title":"The Free-Fall time of finite Sheets and Filaments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.0917","kind":"arxiv","version":2},"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:c4d178ef2f8fed67ae579b0801baa23dd949b50ab1af5ac62642984b1cc4a04c","target":"record","created_at":"2026-05-18T02:00:17Z","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":"71a3184f36ca2dc8f49ceed4c0a16c95c60b8c8ad00786818b951dc12b896968","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-10-05T08:09:00Z","title_canon_sha256":"38725af65baf43726b04696251b5f204ab52e8855db8cf74cfc4d83d4cdb5cea"},"schema_version":"1.0","source":{"id":"1110.0917","kind":"arxiv","version":2}},"canonical_sha256":"801b0c64137d5af97dbc4fe98ced87b1927b0a1e6bee4d87d22aaa94ccab759e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"801b0c64137d5af97dbc4fe98ced87b1927b0a1e6bee4d87d22aaa94ccab759e","first_computed_at":"2026-05-18T02:00:17.715106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:17.715106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2X32uGcbt4B+o8C+qZ6/ir1/0KGbBoop1bCyiGUv8X6afWJhfE2OBiOlHFLUImdmdThdo8ZerqsmD88mUOSdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:17.715875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.0917","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4d178ef2f8fed67ae579b0801baa23dd949b50ab1af5ac62642984b1cc4a04c","sha256:9aa4b37405c503499d3fb1fb328f0738e3e7f32d3575618372c2aac5bbdade93"],"state_sha256":"efd9dd5db2f6ab7d3042b74478b5ed8ea59d2ed39efd9597a0ee12aea4b3cdf6"}