{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:44S6CSU7FXLRVM4D2DH6IQTI3R","short_pith_number":"pith:44S6CSU7","schema_version":"1.0","canonical_sha256":"e725e14a9f2dd71ab383d0cfe44268dc4c6d84ce80ca284e8c83d62c8133c2eb","source":{"kind":"arxiv","id":"1612.07058","version":1},"attestation_state":"computed","paper":{"title":"A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Luis Vega, Thomas Ourmi\\`eres-Bonafos","submitted_at":"2016-12-21T11:16:26Z","abstract_excerpt":"We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a $\\mathcal{C}^2$-compact surface without boundary. To do so we are lead to study the layer potential induced by the Dirac system as well as to define traces in a weak sense for functions in the appropriate Sobolev space. Finally, we introduce Calder\\'on projectors associated with the problem and illustrate the method in two special cases: the well-known MIT bag model and an electrostatic $\\delta$-shell interaction."},"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":"1612.07058","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-21T11:16:26Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"955e415f3c6a00f6518891c797e7c528cf7c7e1dfd72d3093a25714365bd81ad","abstract_canon_sha256":"de379c3645f9e3a320faf51580015cc3f6e3bcb0fd673e29f37c111deb36bf66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:14.770596Z","signature_b64":"eoL5bR+wA6ulD518e7UBMIRZVUpgrh0dGp75CYCAt1zvY15xLcsASFcm84PEqwXO7waLKXf7aTx8BzTiQKl1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e725e14a9f2dd71ab383d0cfe44268dc4c6d84ce80ca284e8c83d62c8133c2eb","last_reissued_at":"2026-05-18T00:54:14.769929Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:14.769929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A strategy for self-adjointness of Dirac operators: Applications to the MIT bag model and delta-shell interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Luis Vega, Thomas Ourmi\\`eres-Bonafos","submitted_at":"2016-12-21T11:16:26Z","abstract_excerpt":"We develop an approach to prove self-adjointness of Dirac operators with boundary or transmission conditions at a $\\mathcal{C}^2$-compact surface without boundary. To do so we are lead to study the layer potential induced by the Dirac system as well as to define traces in a weak sense for functions in the appropriate Sobolev space. Finally, we introduce Calder\\'on projectors associated with the problem and illustrate the method in two special cases: the well-known MIT bag model and an electrostatic $\\delta$-shell interaction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07058","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":"1612.07058","created_at":"2026-05-18T00:54:14.770031+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.07058v1","created_at":"2026-05-18T00:54:14.770031+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07058","created_at":"2026-05-18T00:54:14.770031+00:00"},{"alias_kind":"pith_short_12","alias_value":"44S6CSU7FXLR","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"44S6CSU7FXLRVM4D","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"44S6CSU7","created_at":"2026-05-18T12:29:58.707656+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/44S6CSU7FXLRVM4D2DH6IQTI3R","json":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R.json","graph_json":"https://pith.science/api/pith-number/44S6CSU7FXLRVM4D2DH6IQTI3R/graph.json","events_json":"https://pith.science/api/pith-number/44S6CSU7FXLRVM4D2DH6IQTI3R/events.json","paper":"https://pith.science/paper/44S6CSU7"},"agent_actions":{"view_html":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R","download_json":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R.json","view_paper":"https://pith.science/paper/44S6CSU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.07058&json=true","fetch_graph":"https://pith.science/api/pith-number/44S6CSU7FXLRVM4D2DH6IQTI3R/graph.json","fetch_events":"https://pith.science/api/pith-number/44S6CSU7FXLRVM4D2DH6IQTI3R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R/action/storage_attestation","attest_author":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R/action/author_attestation","sign_citation":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R/action/citation_signature","submit_replication":"https://pith.science/pith/44S6CSU7FXLRVM4D2DH6IQTI3R/action/replication_record"}},"created_at":"2026-05-18T00:54:14.770031+00:00","updated_at":"2026-05-18T00:54:14.770031+00:00"}