{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ECHRPAY7IZ56FUYXMW6DYOZTYG","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":"bab26e2de05a99c930b2da8fad404c89a7d5f8b03c652b3cf850b309c445b0e1","cross_cats_sorted":["astro-ph.GA","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2010-08-03T05:49:51Z","title_canon_sha256":"cbf31be0c50540b1ce5f8beb429cb15e03931a1d7af61337ef8d162c591aa80c"},"schema_version":"1.0","source":{"id":"1008.0465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.0465","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"1008.0465v1","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.0465","created_at":"2026-05-18T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"ECHRPAY7IZ56","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"ECHRPAY7IZ56FUYX","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"ECHRPAY7","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:71b17785eba853d7e7e8d382b0adf71c85286f1a5b001901c4e799b8e8ab8f4a","target":"graph","created_at":"2026-05-18T02:06:00Z","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":"We investigate the fragmentation criterion in massive self-gravitating discs. We present new analysis of the fragmentation conditions which we test by carrying out global three-dimensional numerical simulations. Whilst previous work has placed emphasis on the cooling timescale in units of the orbital timescale, \\beta , we find that at a given radius the surface mass density (i.e. disc mass and profile) and star mass also play a crucial role in determining whether a disc fragments or not as well as where in the disc fragments form. We find that for shallow surface mass density profiles (p<2, wh","authors_text":"Farzana Meru, Matthew R. Bate","cross_cats":["astro-ph.GA","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2010-08-03T05:49:51Z","title":"On the fragmentation criteria of self-gravitating protoplanetary discs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.0465","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:d7e4dd0ff847323c3b89ffe0d0a19f02ca2a372bea64e9a3b7840673b541f319","target":"record","created_at":"2026-05-18T02:06:00Z","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":"bab26e2de05a99c930b2da8fad404c89a7d5f8b03c652b3cf850b309c445b0e1","cross_cats_sorted":["astro-ph.GA","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2010-08-03T05:49:51Z","title_canon_sha256":"cbf31be0c50540b1ce5f8beb429cb15e03931a1d7af61337ef8d162c591aa80c"},"schema_version":"1.0","source":{"id":"1008.0465","kind":"arxiv","version":1}},"canonical_sha256":"208f17831f467be2d31765bc3c3b33c18e22290d48a1eda056e6d71d00007b86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"208f17831f467be2d31765bc3c3b33c18e22290d48a1eda056e6d71d00007b86","first_computed_at":"2026-05-18T02:06:00.062698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:00.062698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B1zuEN4gXppwWumk4bExzTbpy727Lb/xKdqxQg0E5ZwxT8MN25tT8GOWesGr7Wwz8ANnae8TSYW3zKdZumv1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:00.063267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.0465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7e4dd0ff847323c3b89ffe0d0a19f02ca2a372bea64e9a3b7840673b541f319","sha256:71b17785eba853d7e7e8d382b0adf71c85286f1a5b001901c4e799b8e8ab8f4a"],"state_sha256":"053a1a6c8adbf4c11291691e330ecfc4afa9ee5b8fe6dcc0deb2763fb07f971a"}