{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:OEI5K2YGDQ4K36CEHGOB5VVTYI","short_pith_number":"pith:OEI5K2YG","schema_version":"1.0","canonical_sha256":"7111d56b061c38adf844399c1ed6b3c213e8d54d94dcb74895742647d3a5bc1e","source":{"kind":"arxiv","id":"2104.04010","version":2},"attestation_state":"computed","paper":{"title":"Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Aaron Held, Hyun Lim","submitted_at":"2021-04-08T18:59:57Z","abstract_excerpt":"We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the evolution system into quasi-linear form (ii) the Cartoon method to reduce to spherical symmetry in keeping with harmonic gauge, and (iii) order-reduction to 1st-order (in time) by means of introducing auxiliary variables. Well-posedness of the respective initial-value problem is numerically confirmed by evolving randomly perturbed flat-space and black-hole initial "},"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":"2104.04010","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-04-08T18:59:57Z","cross_cats_sorted":[],"title_canon_sha256":"b70c354dcdd399af45bd3bb96716546edf017aa53e65b8da506e44c5985a76ae","abstract_canon_sha256":"f0256e527c26ffa9a672759ef86ea7e871ba89bfe51c674e4c505bc1be4d0755"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:24:09.517929Z","signature_b64":"0gwJlIeeLU/uWMBtaQ/s7051xbzLCgyys1fDhQcjX7jexns8T4F6MdZL3sO0cZU+9NrQMVIvDu+bVxC3RbdXBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7111d56b061c38adf844399c1ed6b3c213e8d54d94dcb74895742647d3a5bc1e","last_reissued_at":"2026-07-05T03:24:09.517415Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:24:09.517415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Aaron Held, Hyun Lim","submitted_at":"2021-04-08T18:59:57Z","abstract_excerpt":"We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the evolution system into quasi-linear form (ii) the Cartoon method to reduce to spherical symmetry in keeping with harmonic gauge, and (iii) order-reduction to 1st-order (in time) by means of introducing auxiliary variables. Well-posedness of the respective initial-value problem is numerically confirmed by evolving randomly perturbed flat-space and black-hole initial "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.04010","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.04010/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2104.04010","created_at":"2026-07-05T03:24:09.517481+00:00"},{"alias_kind":"arxiv_version","alias_value":"2104.04010v2","created_at":"2026-07-05T03:24:09.517481+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.04010","created_at":"2026-07-05T03:24:09.517481+00:00"},{"alias_kind":"pith_short_12","alias_value":"OEI5K2YGDQ4K","created_at":"2026-07-05T03:24:09.517481+00:00"},{"alias_kind":"pith_short_16","alias_value":"OEI5K2YGDQ4K36CE","created_at":"2026-07-05T03:24:09.517481+00:00"},{"alias_kind":"pith_short_8","alias_value":"OEI5K2YG","created_at":"2026-07-05T03:24:09.517481+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/OEI5K2YGDQ4K36CEHGOB5VVTYI","json":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI.json","graph_json":"https://pith.science/api/pith-number/OEI5K2YGDQ4K36CEHGOB5VVTYI/graph.json","events_json":"https://pith.science/api/pith-number/OEI5K2YGDQ4K36CEHGOB5VVTYI/events.json","paper":"https://pith.science/paper/OEI5K2YG"},"agent_actions":{"view_html":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI","download_json":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI.json","view_paper":"https://pith.science/paper/OEI5K2YG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2104.04010&json=true","fetch_graph":"https://pith.science/api/pith-number/OEI5K2YGDQ4K36CEHGOB5VVTYI/graph.json","fetch_events":"https://pith.science/api/pith-number/OEI5K2YGDQ4K36CEHGOB5VVTYI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI/action/storage_attestation","attest_author":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI/action/author_attestation","sign_citation":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI/action/citation_signature","submit_replication":"https://pith.science/pith/OEI5K2YGDQ4K36CEHGOB5VVTYI/action/replication_record"}},"created_at":"2026-07-05T03:24:09.517481+00:00","updated_at":"2026-07-05T03:24:09.517481+00:00"}