{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BHA6OVV23K6TE36NMOGPCDX77B","short_pith_number":"pith:BHA6OVV2","schema_version":"1.0","canonical_sha256":"09c1e756badabd326fcd638cf10efff87ee2b22881d4f42e6323019c13e43bfa","source":{"kind":"arxiv","id":"1204.5377","version":2},"attestation_state":"computed","paper":{"title":"BSSN equations in spherical coordinates without regularization: vacuum and non-vacuum spherically symmetric spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"gr-qc","authors_text":"Isabel Cordero-Carrion, Pedro J. Montero","submitted_at":"2012-04-24T13:54:08Z","abstract_excerpt":"Brown has recently introduced a covariant formulation of the BSSN equations which is well suited for curvilinear coordinate systems. This is particularly desirable as many astrophysical phenomena are symmetric with respect to the rotation axis or are such that curvilinear coordinates adapt better to their geometry. However, the singularities associated with such coordinate systems are known to lead to numerical instabilities unless special care is taken (e.g., regularization at the origin). Cordero-Carrion will present a rigorous derivation of partially implicit Runge-Kutta methods in forthcom"},"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":"1204.5377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-04-24T13:54:08Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"bb5f11888b15a215a15a31f0116912a3b7165b770981bfcff4963f8af11722b8","abstract_canon_sha256":"378c9105da914c265323767577899c6089d02ba77dc5871d995721cb501a2471"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:46.757462Z","signature_b64":"hn8kHk1l49uZBInuI7XmTLSO+fwlY6YXkGh8O0uhf4PEknLLZL+iy2K6PSie7yntoIoFfQHQck6dFNWULTK/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09c1e756badabd326fcd638cf10efff87ee2b22881d4f42e6323019c13e43bfa","last_reissued_at":"2026-05-18T01:57:46.756697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:46.756697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"BSSN equations in spherical coordinates without regularization: vacuum and non-vacuum spherically symmetric spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"gr-qc","authors_text":"Isabel Cordero-Carrion, Pedro J. Montero","submitted_at":"2012-04-24T13:54:08Z","abstract_excerpt":"Brown has recently introduced a covariant formulation of the BSSN equations which is well suited for curvilinear coordinate systems. This is particularly desirable as many astrophysical phenomena are symmetric with respect to the rotation axis or are such that curvilinear coordinates adapt better to their geometry. However, the singularities associated with such coordinate systems are known to lead to numerical instabilities unless special care is taken (e.g., regularization at the origin). Cordero-Carrion will present a rigorous derivation of partially implicit Runge-Kutta methods in forthcom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5377","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":"1204.5377","created_at":"2026-05-18T01:57:46.756815+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5377v2","created_at":"2026-05-18T01:57:46.756815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5377","created_at":"2026-05-18T01:57:46.756815+00:00"},{"alias_kind":"pith_short_12","alias_value":"BHA6OVV23K6T","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"BHA6OVV23K6TE36N","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"BHA6OVV2","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2505.15912","citing_title":"BHaHAHA: A Fast, Robust Apparent Horizon Finder Library for Numerical Relativity","ref_index":41,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B","json":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B.json","graph_json":"https://pith.science/api/pith-number/BHA6OVV23K6TE36NMOGPCDX77B/graph.json","events_json":"https://pith.science/api/pith-number/BHA6OVV23K6TE36NMOGPCDX77B/events.json","paper":"https://pith.science/paper/BHA6OVV2"},"agent_actions":{"view_html":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B","download_json":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B.json","view_paper":"https://pith.science/paper/BHA6OVV2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5377&json=true","fetch_graph":"https://pith.science/api/pith-number/BHA6OVV23K6TE36NMOGPCDX77B/graph.json","fetch_events":"https://pith.science/api/pith-number/BHA6OVV23K6TE36NMOGPCDX77B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B/action/storage_attestation","attest_author":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B/action/author_attestation","sign_citation":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B/action/citation_signature","submit_replication":"https://pith.science/pith/BHA6OVV23K6TE36NMOGPCDX77B/action/replication_record"}},"created_at":"2026-05-18T01:57:46.756815+00:00","updated_at":"2026-05-18T01:57:46.756815+00:00"}