{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:4KUGTOLHWPVN33VLWIKTPEAARR","short_pith_number":"pith:4KUGTOLH","schema_version":"1.0","canonical_sha256":"e2a869b967b3eaddeeabb2153790008c7120b7165a8585acd97efcc819e22f38","source":{"kind":"arxiv","id":"0911.5549","version":2},"attestation_state":"computed","paper":{"title":"Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hideki Ishihara, Takahisa Igata","submitted_at":"2009-11-30T06:21:06Z","abstract_excerpt":"We examine the separability of the Nambu-Goto equation for test strings in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a `{\\it Hopf loop}\\rq string which is a special class of the toroidal spiral strings, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background."},"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":"0911.5549","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-30T06:21:06Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6b9691ef95706521f4ec8a87ad2af4a0f1918be21829789294a71d46d3a5be1c","abstract_canon_sha256":"26f6ed0580dfda2745cc683693dddfebd2708d12ddd1e85da24e310488c38b31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:03.102779Z","signature_b64":"i+cWStux8F8OXszJhVzfLhjlYC8qPsxekeeXY1HjKBrfJtq9QWYHChhq1U9Lwf1MC+6jkIdNiacJE1ZQiLgdDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2a869b967b3eaddeeabb2153790008c7120b7165a8585acd97efcc819e22f38","last_reissued_at":"2026-05-18T02:34:03.102207Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:03.102207Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of Toroidal Spiral Strings around Five-dimensional Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Hideki Ishihara, Takahisa Igata","submitted_at":"2009-11-30T06:21:06Z","abstract_excerpt":"We examine the separability of the Nambu-Goto equation for test strings in a shape of toroidal spiral in a five-dimensional Kerr-AdS black hole. In particular, for a `{\\it Hopf loop}\\rq string which is a special class of the toroidal spiral strings, we show the complete separation of variables occurs in two cases, Kerr background and Kerr-AdS background with equal angular momenta. We also obtain the dynamical solution for the Hopf loop around a black hole and for the general toroidal spiral in Minkowski background."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5549","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":""},"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":"0911.5549","created_at":"2026-05-18T02:34:03.102305+00:00"},{"alias_kind":"arxiv_version","alias_value":"0911.5549v2","created_at":"2026-05-18T02:34:03.102305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5549","created_at":"2026-05-18T02:34:03.102305+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KUGTOLHWPVN","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KUGTOLHWPVN33VL","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KUGTOLH","created_at":"2026-05-18T12:25:58.837520+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/4KUGTOLHWPVN33VLWIKTPEAARR","json":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR.json","graph_json":"https://pith.science/api/pith-number/4KUGTOLHWPVN33VLWIKTPEAARR/graph.json","events_json":"https://pith.science/api/pith-number/4KUGTOLHWPVN33VLWIKTPEAARR/events.json","paper":"https://pith.science/paper/4KUGTOLH"},"agent_actions":{"view_html":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR","download_json":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR.json","view_paper":"https://pith.science/paper/4KUGTOLH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0911.5549&json=true","fetch_graph":"https://pith.science/api/pith-number/4KUGTOLHWPVN33VLWIKTPEAARR/graph.json","fetch_events":"https://pith.science/api/pith-number/4KUGTOLHWPVN33VLWIKTPEAARR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR/action/storage_attestation","attest_author":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR/action/author_attestation","sign_citation":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR/action/citation_signature","submit_replication":"https://pith.science/pith/4KUGTOLHWPVN33VLWIKTPEAARR/action/replication_record"}},"created_at":"2026-05-18T02:34:03.102305+00:00","updated_at":"2026-05-18T02:34:03.102305+00:00"}