{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5VBQV6LZ2KDJS7FOQMAI4RIXOQ","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":"dae4b6fa8885952a5562bf78ca5f049dff6a03a34504d7f17d8abfdb9fbad863","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-12-17T19:04:09Z","title_canon_sha256":"df6d7a6f8ab5757502a0f94ac91e0680947b46685c63498b7d71702a5c07cf66"},"schema_version":"1.0","source":{"id":"1812.07001","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.07001","created_at":"2026-05-17T23:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"1812.07001v1","created_at":"2026-05-17T23:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07001","created_at":"2026-05-17T23:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"5VBQV6LZ2KDJ","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5VBQV6LZ2KDJS7FO","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5VBQV6LZ","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:637f9854789dfd32343592d00115f3f82d53c81cb6c8155fde9591acfaa65468","target":"graph","created_at":"2026-05-17T23:52:39Z","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":"Linear perturbation is used to investigate the effect of gravitational softening on the retrieved two-armed spiral eigenmodes of razor-thin stellar discs.\n  We explore four softening kernels with different degrees of gravity bias, and with/without compact support (compact in the sense that they yield exactly Newtonian forces outside the softening kernel). These kernels are applied to two disc galaxy models with well-known unsoftened unstable modes. We illustrate quantitatively the importance of a vanishing linear gravity bias to yield accurate frequency estimates of the unstable modes. As such","authors_text":"Jean-Baptiste Fouvry, Sven De Rijcke, Walter Dehnen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-12-17T19:04:09Z","title":"How gravitational softening affects galaxy stability I. Linear mode analysis of disc galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07001","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":"sha256:421256c34f2c5dd40732cfb65a7860cd3958ab49cdce7698f40369fdbbeaed54","target":"record","created_at":"2026-05-17T23:52:39Z","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":"dae4b6fa8885952a5562bf78ca5f049dff6a03a34504d7f17d8abfdb9fbad863","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2018-12-17T19:04:09Z","title_canon_sha256":"df6d7a6f8ab5757502a0f94ac91e0680947b46685c63498b7d71702a5c07cf66"},"schema_version":"1.0","source":{"id":"1812.07001","kind":"arxiv","version":1}},"canonical_sha256":"ed430af979d286997cae83008e4517743de5f5eb3afc5c8dc43c3cddb3540f9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed430af979d286997cae83008e4517743de5f5eb3afc5c8dc43c3cddb3540f9b","first_computed_at":"2026-05-17T23:52:39.103561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:39.103561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X5ojvRVmd4ciW4T7s1CQtlgshhF3+Ocjq97HpEU1LL7I+7KVheHobYFBCywYU90RlY52sS0SYSEEpeFntjimBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:39.104287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.07001","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:421256c34f2c5dd40732cfb65a7860cd3958ab49cdce7698f40369fdbbeaed54","sha256:637f9854789dfd32343592d00115f3f82d53c81cb6c8155fde9591acfaa65468"],"state_sha256":"0fedc4441d2554345a6c83e156db4d2dd5c44476078b062d06b217a5e804aa1e"}