{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:CLY4TFEERVGE22244DOAT6X7JY","short_pith_number":"pith:CLY4TFEE","schema_version":"1.0","canonical_sha256":"12f1c994848d4c4d6b5ce0dc09faff4e0ac8fb865a04b3d85f3b77507d7dad86","source":{"kind":"arxiv","id":"1403.3653","version":1},"attestation_state":"computed","paper":{"title":"Fully covariant and conformal formulation of the Z4 system in a reference-metric approach: comparison with the BSSN formulation in spherical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ewald Mueller (MPA), Jose A. Font (Valencia), Nicolas Sanchis-Gual (Valencia), Pedro J. Montero (MPA), Thomas W. Baumgarte (Bowdoin College)","submitted_at":"2014-03-14T17:41:17Z","abstract_excerpt":"We adopt a reference-metric approach to generalize a covariant and conformal version of the Z4 system of the Einstein equations. We refer to the resulting system as ``fully covariant and conformal\", or fCCZ4 for short, since it is well suited for curvilinear as well as Cartesian coordinates. We implement this fCCZ4 formalism in spherical polar coordinates under the assumption of spherical symmetry using a partially-implicit Runge-Kutta (PIRK) method and show that our code can evolve both vacuum and non-vacuum spacetimes without encountering instabilities. Our method does not require regulariza"},"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":"1403.3653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-03-14T17:41:17Z","cross_cats_sorted":[],"title_canon_sha256":"f3182c4065983d9a96528b3dc36ca2b4a2a1d3591ae960830b1583503487115b","abstract_canon_sha256":"b67c50553dca94e5ff750f18ed9590f2ab04ef9a34f8b824c7d394e6f7e452a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:01.027554Z","signature_b64":"evw17l9/glS9I0d0COj+UrkoRYOA/gDmgoGVMC5Beji5XUa/sHk0Rf6o0G1icBCPkutoODpAPaU8yEUCtsaSDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12f1c994848d4c4d6b5ce0dc09faff4e0ac8fb865a04b3d85f3b77507d7dad86","last_reissued_at":"2026-05-18T01:44:01.026817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:01.026817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fully covariant and conformal formulation of the Z4 system in a reference-metric approach: comparison with the BSSN formulation in spherical symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ewald Mueller (MPA), Jose A. Font (Valencia), Nicolas Sanchis-Gual (Valencia), Pedro J. Montero (MPA), Thomas W. Baumgarte (Bowdoin College)","submitted_at":"2014-03-14T17:41:17Z","abstract_excerpt":"We adopt a reference-metric approach to generalize a covariant and conformal version of the Z4 system of the Einstein equations. We refer to the resulting system as ``fully covariant and conformal\", or fCCZ4 for short, since it is well suited for curvilinear as well as Cartesian coordinates. We implement this fCCZ4 formalism in spherical polar coordinates under the assumption of spherical symmetry using a partially-implicit Runge-Kutta (PIRK) method and show that our code can evolve both vacuum and non-vacuum spacetimes without encountering instabilities. Our method does not require regulariza"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3653","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":"1403.3653","created_at":"2026-05-18T01:44:01.026940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.3653v1","created_at":"2026-05-18T01:44:01.026940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3653","created_at":"2026-05-18T01:44:01.026940+00:00"},{"alias_kind":"pith_short_12","alias_value":"CLY4TFEERVGE","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"CLY4TFEERVGE2224","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"CLY4TFEE","created_at":"2026-05-18T12:28:22.404517+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/CLY4TFEERVGE22244DOAT6X7JY","json":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY.json","graph_json":"https://pith.science/api/pith-number/CLY4TFEERVGE22244DOAT6X7JY/graph.json","events_json":"https://pith.science/api/pith-number/CLY4TFEERVGE22244DOAT6X7JY/events.json","paper":"https://pith.science/paper/CLY4TFEE"},"agent_actions":{"view_html":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY","download_json":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY.json","view_paper":"https://pith.science/paper/CLY4TFEE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.3653&json=true","fetch_graph":"https://pith.science/api/pith-number/CLY4TFEERVGE22244DOAT6X7JY/graph.json","fetch_events":"https://pith.science/api/pith-number/CLY4TFEERVGE22244DOAT6X7JY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY/action/storage_attestation","attest_author":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY/action/author_attestation","sign_citation":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY/action/citation_signature","submit_replication":"https://pith.science/pith/CLY4TFEERVGE22244DOAT6X7JY/action/replication_record"}},"created_at":"2026-05-18T01:44:01.026940+00:00","updated_at":"2026-05-18T01:44:01.026940+00:00"}