{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:R2FJTGWQYKTNPA6RYMKXT2GIPS","short_pith_number":"pith:R2FJTGWQ","schema_version":"1.0","canonical_sha256":"8e8a999ad0c2a6d783d1c31579e8c87cba0734a92b656e5c5216df341695e5f1","source":{"kind":"arxiv","id":"1905.01088","version":2},"attestation_state":"computed","paper":{"title":"Harmonic oscillations of neutral particles in the $\\gamma$-metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bobir Toshmatov, Daniele Malafarina, Naresh Dadhich","submitted_at":"2019-05-03T09:30:24Z","abstract_excerpt":"We consider a well-known static, axially symmetric, vacuum solution of Einstein equations belonging to Weyl's class and determine the fundamental frequencies of small harmonic oscillations of test particles around stable circular orbits in the equatorial plane. We discuss the radial profiles of frequencies of the radial, latitudinal (vertical), and azimuthal (Keplerian) harmonic oscillations relative to the comoving and distant observers and compare with the corresponding ones in the Schwarzschild and Kerr geometries. We show that there exist latitudinal and radial frequencies of harmonic osci"},"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":"1905.01088","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2019-05-03T09:30:24Z","cross_cats_sorted":[],"title_canon_sha256":"a7fac17066fc1f667fee57b9715a106987144f264fe72d23018726cd75b29459","abstract_canon_sha256":"5e6ba27b575615a877fef37b85ace50e3bfb03e65d65a42932bd2b96c9070021"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:04.332847Z","signature_b64":"stbm6N7H6kDJZyp5I4ewlN6ZFcTYfSquammd+axBfOHfoIxN9NfmQQ8Qh/GOabJEVKkcP/huepJbUsnXkpTeBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e8a999ad0c2a6d783d1c31579e8c87cba0734a92b656e5c5216df341695e5f1","last_reissued_at":"2026-07-04T23:51:04.332479Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:04.332479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Harmonic oscillations of neutral particles in the $\\gamma$-metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bobir Toshmatov, Daniele Malafarina, Naresh Dadhich","submitted_at":"2019-05-03T09:30:24Z","abstract_excerpt":"We consider a well-known static, axially symmetric, vacuum solution of Einstein equations belonging to Weyl's class and determine the fundamental frequencies of small harmonic oscillations of test particles around stable circular orbits in the equatorial plane. We discuss the radial profiles of frequencies of the radial, latitudinal (vertical), and azimuthal (Keplerian) harmonic oscillations relative to the comoving and distant observers and compare with the corresponding ones in the Schwarzschild and Kerr geometries. We show that there exist latitudinal and radial frequencies of harmonic osci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01088","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/1905.01088/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":"1905.01088","created_at":"2026-07-04T23:51:04.332535+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.01088v2","created_at":"2026-07-04T23:51:04.332535+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01088","created_at":"2026-07-04T23:51:04.332535+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2FJTGWQYKTN","created_at":"2026-07-04T23:51:04.332535+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2FJTGWQYKTNPA6R","created_at":"2026-07-04T23:51:04.332535+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2FJTGWQ","created_at":"2026-07-04T23:51:04.332535+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23912","citing_title":"Newtonian Shirokov Effect: Epicyclic Frequency Splitting from Mass Multipoles","ref_index":24,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS","json":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS.json","graph_json":"https://pith.science/api/pith-number/R2FJTGWQYKTNPA6RYMKXT2GIPS/graph.json","events_json":"https://pith.science/api/pith-number/R2FJTGWQYKTNPA6RYMKXT2GIPS/events.json","paper":"https://pith.science/paper/R2FJTGWQ"},"agent_actions":{"view_html":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS","download_json":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS.json","view_paper":"https://pith.science/paper/R2FJTGWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.01088&json=true","fetch_graph":"https://pith.science/api/pith-number/R2FJTGWQYKTNPA6RYMKXT2GIPS/graph.json","fetch_events":"https://pith.science/api/pith-number/R2FJTGWQYKTNPA6RYMKXT2GIPS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS/action/storage_attestation","attest_author":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS/action/author_attestation","sign_citation":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS/action/citation_signature","submit_replication":"https://pith.science/pith/R2FJTGWQYKTNPA6RYMKXT2GIPS/action/replication_record"}},"created_at":"2026-07-04T23:51:04.332535+00:00","updated_at":"2026-07-04T23:51:04.332535+00:00"}