{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:E7NWO4KQZ5UCKABCXR3VZ5PI6E","short_pith_number":"pith:E7NWO4KQ","schema_version":"1.0","canonical_sha256":"27db677150cf68250022bc775cf5e8f10d42718a48eed62dbcc63aaa8d7472e4","source":{"kind":"arxiv","id":"2507.06842","version":1},"attestation_state":"computed","paper":{"title":"Ideal incompressible axisymmetric MHD: Uncovering finite-time singularities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.plasm-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Rahul Pandit, Venkata Sai Swetha Kolluru","submitted_at":"2025-07-09T13:43:02Z","abstract_excerpt":"We provide compelling numerical evidence for the development of (potential) finite-time singularities in the three-dimensional (3D) axisymmetric, ideal, incompressible magnetohydrodynamic (IMHD) equations, in a wall-bounded cylindrical domain, starting from smooth initial data, for the velocity and magnetic fields. We demonstrate that the nature of the singularity depends crucially on the relative strength C of the velocity and magnetic fields at the time of initialisation: (i) if C < 1, then the swirl components, at the wall, evolve towards square profiles that lead to the intensification of "},"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":"2507.06842","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-07-09T13:43:02Z","cross_cats_sorted":["physics.comp-ph","physics.plasm-ph"],"title_canon_sha256":"13f32036beff94d13dff3f9bd844e9c93d2f45f47bdbce3335b04933aabdecc6","abstract_canon_sha256":"a27aef8820ee0b5b82814cb8a1c39c7d69c5ba04c011a1d414c07e4611414b8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:34:23.965607Z","signature_b64":"mD82L/kjdFcP+M9hSgac7QuG86xhY1dDE8vgD5s1KWoSAK6gLto3PQFuLQmrFZ7RJXQ1wcD574f3csTY/0+/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27db677150cf68250022bc775cf5e8f10d42718a48eed62dbcc63aaa8d7472e4","last_reissued_at":"2026-07-05T11:34:23.965066Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:34:23.965066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ideal incompressible axisymmetric MHD: Uncovering finite-time singularities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.plasm-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Rahul Pandit, Venkata Sai Swetha Kolluru","submitted_at":"2025-07-09T13:43:02Z","abstract_excerpt":"We provide compelling numerical evidence for the development of (potential) finite-time singularities in the three-dimensional (3D) axisymmetric, ideal, incompressible magnetohydrodynamic (IMHD) equations, in a wall-bounded cylindrical domain, starting from smooth initial data, for the velocity and magnetic fields. We demonstrate that the nature of the singularity depends crucially on the relative strength C of the velocity and magnetic fields at the time of initialisation: (i) if C < 1, then the swirl components, at the wall, evolve towards square profiles that lead to the intensification of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.06842","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.06842/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":"2507.06842","created_at":"2026-07-05T11:34:23.965133+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.06842v1","created_at":"2026-07-05T11:34:23.965133+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.06842","created_at":"2026-07-05T11:34:23.965133+00:00"},{"alias_kind":"pith_short_12","alias_value":"E7NWO4KQZ5UC","created_at":"2026-07-05T11:34:23.965133+00:00"},{"alias_kind":"pith_short_16","alias_value":"E7NWO4KQZ5UCKABC","created_at":"2026-07-05T11:34:23.965133+00:00"},{"alias_kind":"pith_short_8","alias_value":"E7NWO4KQ","created_at":"2026-07-05T11:34:23.965133+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/E7NWO4KQZ5UCKABCXR3VZ5PI6E","json":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E.json","graph_json":"https://pith.science/api/pith-number/E7NWO4KQZ5UCKABCXR3VZ5PI6E/graph.json","events_json":"https://pith.science/api/pith-number/E7NWO4KQZ5UCKABCXR3VZ5PI6E/events.json","paper":"https://pith.science/paper/E7NWO4KQ"},"agent_actions":{"view_html":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E","download_json":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E.json","view_paper":"https://pith.science/paper/E7NWO4KQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.06842&json=true","fetch_graph":"https://pith.science/api/pith-number/E7NWO4KQZ5UCKABCXR3VZ5PI6E/graph.json","fetch_events":"https://pith.science/api/pith-number/E7NWO4KQZ5UCKABCXR3VZ5PI6E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E/action/storage_attestation","attest_author":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E/action/author_attestation","sign_citation":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E/action/citation_signature","submit_replication":"https://pith.science/pith/E7NWO4KQZ5UCKABCXR3VZ5PI6E/action/replication_record"}},"created_at":"2026-07-05T11:34:23.965133+00:00","updated_at":"2026-07-05T11:34:23.965133+00:00"}