{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KEDEIUDUCFVFZ2Q5CZ55HOC4L6","short_pith_number":"pith:KEDEIUDU","schema_version":"1.0","canonical_sha256":"5106445074116a5cea1d167bd3b85c5f96b193c01d499d5ca0b10ddf9a26ef05","source":{"kind":"arxiv","id":"1603.05632","version":2},"attestation_state":"computed","paper":{"title":"A quasilinear bistable equation in cylinders and timelike heteroclinics in special relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Denis Bonheure, Isabel Coelho, Manon Nys","submitted_at":"2016-03-17T19:33:26Z","abstract_excerpt":"In this note we consider the action functional \\[ \\int_{\\mathbb{R} \\times \\omega} \\left( 1 - \\sqrt{ 1 - |\\nabla u|^2 } + W(u) \\right) \\, \\mathrm{d}t, \\] where $W$ is a double well potential and $\\omega$ is a bounded domain of $\\mathbb{R}^{N-1}$. We prove existence, one-dimensionality and uniqueness (up to translation) of a smooth minimizing phase transition between the two stable states $u=1$ and $u=-1$. The question of existence of at least one minimal heteroclinic connection for the non autonomous model \\[ \\int_{\\mathbb{R}} \\left( 1 - \\sqrt{1-|u'|^2} + a(t) W(u) \\right) \\, \\mathrm{d}t \\] is "},"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":"1603.05632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-17T19:33:26Z","cross_cats_sorted":[],"title_canon_sha256":"461ff6c634b08f43b98f7f2aa30f8131e2e9a84a64ec7ff6ea2483e3673cb527","abstract_canon_sha256":"87718ff804994ca741876e5df0fc3ebb890073c22396a0c49cdb9b01c350f3e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:31.156104Z","signature_b64":"FNVaobiShS1hM/yO3f11mml2cDkBSWGFDu3TNZirzUEsuucqTwv61yZ8CnlDDNjzYPNmiFLmYn84E0mwWFI+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5106445074116a5cea1d167bd3b85c5f96b193c01d499d5ca0b10ddf9a26ef05","last_reissued_at":"2026-05-18T01:01:31.155559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:31.155559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A quasilinear bistable equation in cylinders and timelike heteroclinics in special relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Denis Bonheure, Isabel Coelho, Manon Nys","submitted_at":"2016-03-17T19:33:26Z","abstract_excerpt":"In this note we consider the action functional \\[ \\int_{\\mathbb{R} \\times \\omega} \\left( 1 - \\sqrt{ 1 - |\\nabla u|^2 } + W(u) \\right) \\, \\mathrm{d}t, \\] where $W$ is a double well potential and $\\omega$ is a bounded domain of $\\mathbb{R}^{N-1}$. We prove existence, one-dimensionality and uniqueness (up to translation) of a smooth minimizing phase transition between the two stable states $u=1$ and $u=-1$. The question of existence of at least one minimal heteroclinic connection for the non autonomous model \\[ \\int_{\\mathbb{R}} \\left( 1 - \\sqrt{1-|u'|^2} + a(t) W(u) \\right) \\, \\mathrm{d}t \\] is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05632","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":"1603.05632","created_at":"2026-05-18T01:01:31.155637+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.05632v2","created_at":"2026-05-18T01:01:31.155637+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05632","created_at":"2026-05-18T01:01:31.155637+00:00"},{"alias_kind":"pith_short_12","alias_value":"KEDEIUDUCFVF","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KEDEIUDUCFVFZ2Q5","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KEDEIUDU","created_at":"2026-05-18T12:30:25.849896+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/KEDEIUDUCFVFZ2Q5CZ55HOC4L6","json":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6.json","graph_json":"https://pith.science/api/pith-number/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/graph.json","events_json":"https://pith.science/api/pith-number/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/events.json","paper":"https://pith.science/paper/KEDEIUDU"},"agent_actions":{"view_html":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6","download_json":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6.json","view_paper":"https://pith.science/paper/KEDEIUDU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.05632&json=true","fetch_graph":"https://pith.science/api/pith-number/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/graph.json","fetch_events":"https://pith.science/api/pith-number/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/action/storage_attestation","attest_author":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/action/author_attestation","sign_citation":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/action/citation_signature","submit_replication":"https://pith.science/pith/KEDEIUDUCFVFZ2Q5CZ55HOC4L6/action/replication_record"}},"created_at":"2026-05-18T01:01:31.155637+00:00","updated_at":"2026-05-18T01:01:31.155637+00:00"}