{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:XEJAIOS3INUH3GTOE2GGSWS6QI","short_pith_number":"pith:XEJAIOS3","schema_version":"1.0","canonical_sha256":"b912043a5b43687d9a6e268c695a5e823949b8cc7736311d0a59b64a1eaa63d8","source":{"kind":"arxiv","id":"1007.2699","version":1},"attestation_state":"computed","paper":{"title":"Rational Orbits around Charged Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Janna Levin, Vedant Misra","submitted_at":"2010-07-16T05:40:06Z","abstract_excerpt":"We show that all eccentric timelike orbits in Reissner-Nordstr\\\"{o}m spacetime can be classified using a taxonomy that draws upon an isomorphism between periodic orbits and the set of rational numbers. By virtue of the fact that the rationals are dense, the taxonomy can be used to approximate aperiodic orbits with periodic orbits. This may help reduce computational overhead for calculations in gravitational wave astronomy. Our dynamical systems approach enables us to study orbits for both charged and uncharged particles in spite of the fact that charged particle orbits around a charged black h"},"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":"1007.2699","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-07-16T05:40:06Z","cross_cats_sorted":[],"title_canon_sha256":"634b8cf5da270b2b61a403f6dd70387d017ba5619202a43e92950e8faed2277d","abstract_canon_sha256":"d77d90f8d3edba6e07dc109a9a437056bc5f364d6124596320d51739c5d6d041"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:09.134038Z","signature_b64":"k2EkcvVxeYQDQ9zXyIGrPPUosxbqdXHLfcNAFJPl5YzfOxDZ1N8w1Uu9u37DRrEWFdn5o968YaKsRjZANYE3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b912043a5b43687d9a6e268c695a5e823949b8cc7736311d0a59b64a1eaa63d8","last_reissued_at":"2026-05-18T02:33:09.133613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:09.133613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational Orbits around Charged Black Holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Janna Levin, Vedant Misra","submitted_at":"2010-07-16T05:40:06Z","abstract_excerpt":"We show that all eccentric timelike orbits in Reissner-Nordstr\\\"{o}m spacetime can be classified using a taxonomy that draws upon an isomorphism between periodic orbits and the set of rational numbers. By virtue of the fact that the rationals are dense, the taxonomy can be used to approximate aperiodic orbits with periodic orbits. This may help reduce computational overhead for calculations in gravitational wave astronomy. Our dynamical systems approach enables us to study orbits for both charged and uncharged particles in spite of the fact that charged particle orbits around a charged black h"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2699","kind":"arxiv","version":1},"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":"1007.2699","created_at":"2026-05-18T02:33:09.133682+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.2699v1","created_at":"2026-05-18T02:33:09.133682+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2699","created_at":"2026-05-18T02:33:09.133682+00:00"},{"alias_kind":"pith_short_12","alias_value":"XEJAIOS3INUH","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"XEJAIOS3INUH3GTO","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"XEJAIOS3","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2509.23318","citing_title":"Gravitational waveforms from periodic orbits around a novel regular black hole","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2512.11911","citing_title":"Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity","ref_index":27,"is_internal_anchor":true},{"citing_arxiv_id":"2604.11866","citing_title":"Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2605.07187","citing_title":"Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity","ref_index":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI","json":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI.json","graph_json":"https://pith.science/api/pith-number/XEJAIOS3INUH3GTOE2GGSWS6QI/graph.json","events_json":"https://pith.science/api/pith-number/XEJAIOS3INUH3GTOE2GGSWS6QI/events.json","paper":"https://pith.science/paper/XEJAIOS3"},"agent_actions":{"view_html":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI","download_json":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI.json","view_paper":"https://pith.science/paper/XEJAIOS3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.2699&json=true","fetch_graph":"https://pith.science/api/pith-number/XEJAIOS3INUH3GTOE2GGSWS6QI/graph.json","fetch_events":"https://pith.science/api/pith-number/XEJAIOS3INUH3GTOE2GGSWS6QI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI/action/storage_attestation","attest_author":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI/action/author_attestation","sign_citation":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI/action/citation_signature","submit_replication":"https://pith.science/pith/XEJAIOS3INUH3GTOE2GGSWS6QI/action/replication_record"}},"created_at":"2026-05-18T02:33:09.133682+00:00","updated_at":"2026-05-18T02:33:09.133682+00:00"}