{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:YCOIZP6N3DJYDE6KFL3UAU4JDE","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":"1049693f69cc9f75d3a28077332e821843cffabd49b2e0d58f9b6ea3a62ad1de","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-11-22T10:46:26Z","title_canon_sha256":"0d6c1499fc675d7447a0f184153dd91a890118000cff4f18ac5905c59e8ef8f5"},"schema_version":"1.0","source":{"id":"astro-ph/9511103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9511103","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9511103v1","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9511103","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"pith_short_12","alias_value":"YCOIZP6N3DJY","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"YCOIZP6N3DJYDE6K","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"YCOIZP6N","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:712e528c37f0228d8e56932ad239a3212f9aaae4a5e018c694f2c137c981694f","target":"graph","created_at":"2026-05-18T01:40:22Z","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 so-called ``symplectic method'' is used for studying the linear stability of a self-gravitating collisionless stellar system, in which the particles are also submitted to an external potential. The system is steady and spherically symmetric, and its distribution function $f_0$ thus depends only on the energy $E$ and the squarred angular momentum $L^2$ of a particle. Assuming that $\\partial f_0 / \\partial E < 0$, it is first shown that stability holds with respect to all the spherical perturbations -- a statement which turns out to be also valid for a rotating spherical system. Thus it is p","authors_text":"CEA Saclay), J-J Aly (SAP, J. Perez (SAP","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1995-11-22T10:46:26Z","title":"Stability of spherical stellar systems I : Analytical results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9511103","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:a62402dbf28bfd53e0bb567e1f81fa66a955cf3aa063a5dbace6d9b622d781d3","target":"record","created_at":"2026-05-18T01:40:22Z","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":"1049693f69cc9f75d3a28077332e821843cffabd49b2e0d58f9b6ea3a62ad1de","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-11-22T10:46:26Z","title_canon_sha256":"0d6c1499fc675d7447a0f184153dd91a890118000cff4f18ac5905c59e8ef8f5"},"schema_version":"1.0","source":{"id":"astro-ph/9511103","kind":"arxiv","version":1}},"canonical_sha256":"c09c8cbfcdd8d38193ca2af74053891913ac7fc19b0fb7a619c86fb1cee21e40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c09c8cbfcdd8d38193ca2af74053891913ac7fc19b0fb7a619c86fb1cee21e40","first_computed_at":"2026-05-18T01:40:22.303745Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:22.303745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLy1IvkRgAQG+3FAJ08NO1J2VA7tWRPMhhpXF7FBKnKwKrjLzDqU8Hnscgok+LWzrlSQ+IY9EK8m3K4s89MhAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:22.304261Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9511103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a62402dbf28bfd53e0bb567e1f81fa66a955cf3aa063a5dbace6d9b622d781d3","sha256:712e528c37f0228d8e56932ad239a3212f9aaae4a5e018c694f2c137c981694f"],"state_sha256":"464b84f444c9456d0973e3d37bef42da30f0ab58d32fb43b56ea6ae776206624"}