{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6UXQA3FWOPBUAQOCQRF6DD5XDK","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":"91ca7c17a654b63cccc3c00177ed44b913d48535b6e174c7b95d873b275ad345","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-05-01T05:16:14Z","title_canon_sha256":"c7c6ffe283c1ce9e1eb870e870ce6c26bb1bdaba3772f3e350fb485c26378124"},"schema_version":"1.0","source":{"id":"0805.0054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.0054","created_at":"2026-05-18T00:52:42Z"},{"alias_kind":"arxiv_version","alias_value":"0805.0054v1","created_at":"2026-05-18T00:52:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.0054","created_at":"2026-05-18T00:52:42Z"},{"alias_kind":"pith_short_12","alias_value":"6UXQA3FWOPBU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"6UXQA3FWOPBUAQOC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"6UXQA3FW","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:42fbb736ac50c4d4fddf0259711d81df2a2726d4242eacea9d0541e3fda38e91","target":"graph","created_at":"2026-05-18T00:52:42Z","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":"The Fokker-Planck (FP) model is one of the commonly used methods for studies of the dynamical evolution of dense spherical stellar systems such as globular clusters and galactic nuclei. The FP model is numerically stable in most cases, but we find that it encounters numerical difficulties rather often when the effects of tidal shocks are included in two-dimensional (energy and angular momentum space) version of the FP model or when the initial condition is extreme (e.g., a very large cluster mass and a small cluster radius). To avoid such a problem, we have developed a new integration scheme f","authors_text":"Jihye Shin, Korea), Sungsoo S. Kim (Kyung Hee University","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-05-01T05:16:14Z","title":"Alternating Direction Implicit Method for Two-Dimensional Fokker-Planck Equation of Dense Spherical Stellar Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.0054","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":"sha256:5e91e245913735a69053f485f04537d80deec656f1a26049647e72f5584f2a47","target":"record","created_at":"2026-05-18T00:52:42Z","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":"91ca7c17a654b63cccc3c00177ed44b913d48535b6e174c7b95d873b275ad345","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-05-01T05:16:14Z","title_canon_sha256":"c7c6ffe283c1ce9e1eb870e870ce6c26bb1bdaba3772f3e350fb485c26378124"},"schema_version":"1.0","source":{"id":"0805.0054","kind":"arxiv","version":1}},"canonical_sha256":"f52f006cb673c34041c2844be18fb71a9e647095e75ef4c6817da97e3ad1d9a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f52f006cb673c34041c2844be18fb71a9e647095e75ef4c6817da97e3ad1d9a1","first_computed_at":"2026-05-18T00:52:42.414057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:42.414057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mh0Os3GbxD49TCvrg2qxfw1XiVLN/16hfqPzBCGTh6LbPiOkD6CJ2AMhkBJd8NxBW6Ofhiwr82/KkxxzD5oQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:42.414800Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.0054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e91e245913735a69053f485f04537d80deec656f1a26049647e72f5584f2a47","sha256:42fbb736ac50c4d4fddf0259711d81df2a2726d4242eacea9d0541e3fda38e91"],"state_sha256":"4328bfecdf16d0adde2c12c35845e8e4c526d7c662c15538000fff770593c0cc"}