{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IQ7Y57PAMRK2M5ACPDYASFNIBT","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":"348c92eb567001b36e380365acce56d98f42115df78a339482e0a7c9699703a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2015-11-09T12:51:04Z","title_canon_sha256":"d33a720397bbed34d6712992cf74091ee7dad8857f122629c44696c873677f69"},"schema_version":"1.0","source":{"id":"1511.02663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.02663","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"1511.02663v2","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02663","created_at":"2026-05-18T01:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"IQ7Y57PAMRK2","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IQ7Y57PAMRK2M5AC","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IQ7Y57PA","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:d0039f76242616a450c5719ebab41d670cf357614c07dc8e3bb4301befe3d87f","target":"graph","created_at":"2026-05-18T01:20:33Z","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":"We performed axisymmetric hydrodynamical simulations of oscillating tori orbiting a non-rotating black hole. The tori in equilibrium were constructed with a constant distribution of angular momentum in a pseudo-Newtonian potential (Klu{\\'z}niak-Lee). Motions of the torus were triggered by adding sub-sonic velocity fields: radial, vertical and diagonal to the tori in equilibrium. As the perturbed tori evolved in time, we measured $L_{2}$ norm of density and obtained the power spectrum of $L_{2}$ norm which manifested eigenfrequencies of tori modes. The most prominent modes of oscillation excite","authors_text":"Antonios Manousakis, Varadarajan Parthasarathy, Wlodek Kluzniak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2015-11-09T12:51:04Z","title":"Quasi-periodic oscillations of perturbed tori"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02663","kind":"arxiv","version":2},"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:b5343c318d93e80b18a8226f9f571884b26be741e6cc33f5b00353aa0c41f627","target":"record","created_at":"2026-05-18T01:20:33Z","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":"348c92eb567001b36e380365acce56d98f42115df78a339482e0a7c9699703a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2015-11-09T12:51:04Z","title_canon_sha256":"d33a720397bbed34d6712992cf74091ee7dad8857f122629c44696c873677f69"},"schema_version":"1.0","source":{"id":"1511.02663","kind":"arxiv","version":2}},"canonical_sha256":"443f8efde06455a6740278f00915a80ceead180b8e4a875b1ddc459330b2ba4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"443f8efde06455a6740278f00915a80ceead180b8e4a875b1ddc459330b2ba4b","first_computed_at":"2026-05-18T01:20:33.323437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:33.323437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JOIPFK8iwvd5cNqjfWQyRSk9aIZWEYJ8E+Uje6Hjpl+0Jo3CRRL5tCd3Wwl3GVtJHF1eGVFhSSZ3AsMDnHrgCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:33.324285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.02663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5343c318d93e80b18a8226f9f571884b26be741e6cc33f5b00353aa0c41f627","sha256:d0039f76242616a450c5719ebab41d670cf357614c07dc8e3bb4301befe3d87f"],"state_sha256":"3d5eb8b0b696dbfb8f95555dc24465325e1f9ee8b5028af421e97924ef2ccc59"}