{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:ASE4SODHAVOREEE46TBVAYJMNC","short_pith_number":"pith:ASE4SODH","schema_version":"1.0","canonical_sha256":"0489c93867055d12109cf4c350612c68afa0c2d3460d53b0c7356b3694a704d8","source":{"kind":"arxiv","id":"2209.06846","version":2},"attestation_state":"computed","paper":{"title":"New dipole instabilities in spherical stellar systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Martin D. Weinberg","submitted_at":"2022-09-14T18:00:18Z","abstract_excerpt":"Spherical stellar systems have weakly-damped response modes. The dipole modes are seiche modes. The quadrupole are zero pattern-speed prolate modes, the stable precursors to the radial-orbit instability (ROI). We demonstrate that small wiggles in the distribution function (DF) can destabilise the dipole modes and describe the newly identified instabilities in NFW-like dark-matter (DM) halos and other power-law spherical systems. The modes were identified in N-body simulations using multivariate singular spectrum analysis (MSSA) and corroborated using linear-response theory. The new mode peaks "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2209.06846","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2022-09-14T18:00:18Z","cross_cats_sorted":[],"title_canon_sha256":"f8171500a35af54a8d0445788dae46a73509354deec476e8095b0b76496486cf","abstract_canon_sha256":"b2e7050ec718d7162e78213bf267bc0897f8bf2a06984663ac4f7d6e85d45929"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:44:18.899671Z","signature_b64":"YxxYtnrGpEUlGzCntuo2d2gmp2WxEnbQiWK4QiR2Ut69/vcnPYfOSByHW4CEzH746shnYJC5+cQX2/4Tt6N/Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0489c93867055d12109cf4c350612c68afa0c2d3460d53b0c7356b3694a704d8","last_reissued_at":"2026-07-05T06:44:18.899199Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:44:18.899199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New dipole instabilities in spherical stellar systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Martin D. Weinberg","submitted_at":"2022-09-14T18:00:18Z","abstract_excerpt":"Spherical stellar systems have weakly-damped response modes. The dipole modes are seiche modes. The quadrupole are zero pattern-speed prolate modes, the stable precursors to the radial-orbit instability (ROI). We demonstrate that small wiggles in the distribution function (DF) can destabilise the dipole modes and describe the newly identified instabilities in NFW-like dark-matter (DM) halos and other power-law spherical systems. The modes were identified in N-body simulations using multivariate singular spectrum analysis (MSSA) and corroborated using linear-response theory. The new mode peaks "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.06846","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.06846/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2209.06846","created_at":"2026-07-05T06:44:18.899261+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.06846v2","created_at":"2026-07-05T06:44:18.899261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.06846","created_at":"2026-07-05T06:44:18.899261+00:00"},{"alias_kind":"pith_short_12","alias_value":"ASE4SODHAVOR","created_at":"2026-07-05T06:44:18.899261+00:00"},{"alias_kind":"pith_short_16","alias_value":"ASE4SODHAVOREEE4","created_at":"2026-07-05T06:44:18.899261+00:00"},{"alias_kind":"pith_short_8","alias_value":"ASE4SODH","created_at":"2026-07-05T06:44:18.899261+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC","json":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC.json","graph_json":"https://pith.science/api/pith-number/ASE4SODHAVOREEE46TBVAYJMNC/graph.json","events_json":"https://pith.science/api/pith-number/ASE4SODHAVOREEE46TBVAYJMNC/events.json","paper":"https://pith.science/paper/ASE4SODH"},"agent_actions":{"view_html":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC","download_json":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC.json","view_paper":"https://pith.science/paper/ASE4SODH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.06846&json=true","fetch_graph":"https://pith.science/api/pith-number/ASE4SODHAVOREEE46TBVAYJMNC/graph.json","fetch_events":"https://pith.science/api/pith-number/ASE4SODHAVOREEE46TBVAYJMNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC/action/storage_attestation","attest_author":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC/action/author_attestation","sign_citation":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC/action/citation_signature","submit_replication":"https://pith.science/pith/ASE4SODHAVOREEE46TBVAYJMNC/action/replication_record"}},"created_at":"2026-07-05T06:44:18.899261+00:00","updated_at":"2026-07-05T06:44:18.899261+00:00"}