{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:GO5SUIIRZQS3EC7MOAHRZJ5EIY","short_pith_number":"pith:GO5SUIIR","schema_version":"1.0","canonical_sha256":"33bb2a2111cc25b20bec700f1ca7a4461d33c40f66bba8d97af51b31ec37833b","source":{"kind":"arxiv","id":"1808.09746","version":1},"attestation_state":"computed","paper":{"title":"The MIT Bag Model as an infinite mass limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Albert Mas, Lo\\\"ic Le Treust (I2M), Naiara Arrizabalaga (UPV/EHU), Nicolas Raymond (IRMAR)","submitted_at":"2018-08-29T12:06:17Z","abstract_excerpt":"The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m>0$ lies outside a smooth and bounded open set $\\Omega\\subset\\R^3$, it is proved that its spectrum is approximated by the one of the Dirac operator on $\\Omega$ with the MIT bag boundary condition. The approximation, which is developed up to and error of order $o(1/\\sqrt m)$, is carried out by introducing tubular coordinates in a neighborhood of $\\partial\\Omega$ and analyzing the corresponding one dimensional optimization problems in the normal direction."},"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":"1808.09746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-29T12:06:17Z","cross_cats_sorted":["math-ph","math.MP","math.SP"],"title_canon_sha256":"5f04e3a3a76a12990f73f3d05e42266b2588d12868202261fa8def7f4ef1abab","abstract_canon_sha256":"81d3b8732fa8c7265c8cf50191ee901d567d3d2d2c1b1d1fd437422a9c14db30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:54.563611Z","signature_b64":"ErYrrd+kyQdHvkKlwE6YE9odlV9191z3nYP7FLMPWYoo5hGK6p//QBXs6uyxSEDFjKfVYGAN9EWYdtBkQmjgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33bb2a2111cc25b20bec700f1ca7a4461d33c40f66bba8d97af51b31ec37833b","last_reissued_at":"2026-05-18T00:06:54.562906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:54.562906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The MIT Bag Model as an infinite mass limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Albert Mas, Lo\\\"ic Le Treust (I2M), Naiara Arrizabalaga (UPV/EHU), Nicolas Raymond (IRMAR)","submitted_at":"2018-08-29T12:06:17Z","abstract_excerpt":"The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m>0$ lies outside a smooth and bounded open set $\\Omega\\subset\\R^3$, it is proved that its spectrum is approximated by the one of the Dirac operator on $\\Omega$ with the MIT bag boundary condition. The approximation, which is developed up to and error of order $o(1/\\sqrt m)$, is carried out by introducing tubular coordinates in a neighborhood of $\\partial\\Omega$ and analyzing the corresponding one dimensional optimization problems in the normal direction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09746","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":"1808.09746","created_at":"2026-05-18T00:06:54.563022+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.09746v1","created_at":"2026-05-18T00:06:54.563022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09746","created_at":"2026-05-18T00:06:54.563022+00:00"},{"alias_kind":"pith_short_12","alias_value":"GO5SUIIRZQS3","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_16","alias_value":"GO5SUIIRZQS3EC7M","created_at":"2026-05-18T12:32:25.280505+00:00"},{"alias_kind":"pith_short_8","alias_value":"GO5SUIIR","created_at":"2026-05-18T12:32:25.280505+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/GO5SUIIRZQS3EC7MOAHRZJ5EIY","json":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY.json","graph_json":"https://pith.science/api/pith-number/GO5SUIIRZQS3EC7MOAHRZJ5EIY/graph.json","events_json":"https://pith.science/api/pith-number/GO5SUIIRZQS3EC7MOAHRZJ5EIY/events.json","paper":"https://pith.science/paper/GO5SUIIR"},"agent_actions":{"view_html":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY","download_json":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY.json","view_paper":"https://pith.science/paper/GO5SUIIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.09746&json=true","fetch_graph":"https://pith.science/api/pith-number/GO5SUIIRZQS3EC7MOAHRZJ5EIY/graph.json","fetch_events":"https://pith.science/api/pith-number/GO5SUIIRZQS3EC7MOAHRZJ5EIY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY/action/storage_attestation","attest_author":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY/action/author_attestation","sign_citation":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY/action/citation_signature","submit_replication":"https://pith.science/pith/GO5SUIIRZQS3EC7MOAHRZJ5EIY/action/replication_record"}},"created_at":"2026-05-18T00:06:54.563022+00:00","updated_at":"2026-05-18T00:06:54.563022+00:00"}