{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:L4F2CIL65YJIIEYDE4C7TTVMTH","short_pith_number":"pith:L4F2CIL6","schema_version":"1.0","canonical_sha256":"5f0ba1217eee128413032705f9ceac99e52e6c561913be819ad944a15df2b5eb","source":{"kind":"arxiv","id":"1011.1561","version":1},"attestation_state":"computed","paper":{"title":"A numerical stability investigation of strong ZND detonations for Majda's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Blake Barker, Kevin Zumbrun","submitted_at":"2010-11-06T13:15:13Z","abstract_excerpt":"We carry out a systematic numerical stability analysis of ZND detonations of Majda's model with Arrhenius-type ignition function, a simplified model for reacting flow, as heat release and activation energy are varied. Our purpose is, first, to answer a question of Majda whether oscillatory instabilities can occur for high activation energies as in the full reacting Euler equations, and, second, to test the efficiency of various versions of a numerical eigenvalue-finding scheme suggested by Humpherys and Zumbrun against the standard method of Lee and Stewart. Our results suggest that instabilit"},"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":"1011.1561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-06T13:15:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b48f09074a59aacbb61b71341524b1b9621b100cf14e7fac38f9fdc04d3f869a","abstract_canon_sha256":"8d7c280ab691e7e201a2a2c852527d0af86d06a2e82a0c7b3a07c06c22e73bf5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:50.909700Z","signature_b64":"j2QyiFuYM/CwRAbGm0xzUNJLKXrz2M0gmH0QFIMzRGUQpHIUubL0qCVoaL0eZ4NuG+G7kSgn9CfwZmKeWo+gDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f0ba1217eee128413032705f9ceac99e52e6c561913be819ad944a15df2b5eb","last_reissued_at":"2026-05-18T04:36:50.909311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:50.909311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A numerical stability investigation of strong ZND detonations for Majda's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Blake Barker, Kevin Zumbrun","submitted_at":"2010-11-06T13:15:13Z","abstract_excerpt":"We carry out a systematic numerical stability analysis of ZND detonations of Majda's model with Arrhenius-type ignition function, a simplified model for reacting flow, as heat release and activation energy are varied. Our purpose is, first, to answer a question of Majda whether oscillatory instabilities can occur for high activation energies as in the full reacting Euler equations, and, second, to test the efficiency of various versions of a numerical eigenvalue-finding scheme suggested by Humpherys and Zumbrun against the standard method of Lee and Stewart. Our results suggest that instabilit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1561","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":"1011.1561","created_at":"2026-05-18T04:36:50.909384+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.1561v1","created_at":"2026-05-18T04:36:50.909384+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1561","created_at":"2026-05-18T04:36:50.909384+00:00"},{"alias_kind":"pith_short_12","alias_value":"L4F2CIL65YJI","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"L4F2CIL65YJIIEYD","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"L4F2CIL6","created_at":"2026-05-18T12:26:10.704358+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/L4F2CIL65YJIIEYDE4C7TTVMTH","json":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH.json","graph_json":"https://pith.science/api/pith-number/L4F2CIL65YJIIEYDE4C7TTVMTH/graph.json","events_json":"https://pith.science/api/pith-number/L4F2CIL65YJIIEYDE4C7TTVMTH/events.json","paper":"https://pith.science/paper/L4F2CIL6"},"agent_actions":{"view_html":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH","download_json":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH.json","view_paper":"https://pith.science/paper/L4F2CIL6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.1561&json=true","fetch_graph":"https://pith.science/api/pith-number/L4F2CIL65YJIIEYDE4C7TTVMTH/graph.json","fetch_events":"https://pith.science/api/pith-number/L4F2CIL65YJIIEYDE4C7TTVMTH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH/action/storage_attestation","attest_author":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH/action/author_attestation","sign_citation":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH/action/citation_signature","submit_replication":"https://pith.science/pith/L4F2CIL65YJIIEYDE4C7TTVMTH/action/replication_record"}},"created_at":"2026-05-18T04:36:50.909384+00:00","updated_at":"2026-05-18T04:36:50.909384+00:00"}