{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:6VQWVTRUZMQH7UURHFQLBER6XT","short_pith_number":"pith:6VQWVTRU","schema_version":"1.0","canonical_sha256":"f5616ace34cb207fd2913960b0923ebcdcb553225915c3690b94ebb2c540e62d","source":{"kind":"arxiv","id":"math/0611336","version":1},"attestation_state":"computed","paper":{"title":"Boutet de Monvel's Calculus and Groupoids I","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"math.KT","authors_text":"Bertrand Monthubert (IMT), Elmar Schrohe (Institut F\\\"ur Analysis), Johannes Aastrup (Institut F\\\"ur Analysis), Severino T. Melo (Instituto De Matem\\'atica E Estat\\'istica)","submitted_at":"2006-11-11T21:22:52Z","abstract_excerpt":"Can Boutet de Monvel's algebra on a compact manifold with boundary be obtained as the algebra $\\Psi^0(G)$ of pseudodifferential operators on some Lie groupoid $G$? If it could, the kernel ${\\mathcal G}$ of the principal symbol homomorphism would be isomorphic to the groupoid {$C^*$-algebra} $C^*(G)$. While the answer to the above question remains open, we exhibit in this paper a groupoid $G$ such that $C^*(G)$ possesses an ideal ${\\mathcal I}$ isomorphic to ${\\mathcal G}$. %ES, the kernel of the principal symbol homomorphism on Boutet de Monvel's algebra. In fact, we prove first that ${\\mathca"},"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":"math/0611336","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.KT","submitted_at":"2006-11-11T21:22:52Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"221d021da523548a499be2fc6c703bf86e6acd3bf1f248b5fbdcf3fdd61428bb","abstract_canon_sha256":"7ef0f6b535a78d070cd277e8f9bf050be96040ef9ab45993ba1595e5388c8967"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:49.507204Z","signature_b64":"ZTqXv2Sjqj60PhwP/u7EKGlgMNHd6PBZC3NjPJ5245VPSv9h00jTpebxhVx59mJD1puBcke9Jp1Vx97lsu3WCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5616ace34cb207fd2913960b0923ebcdcb553225915c3690b94ebb2c540e62d","last_reissued_at":"2026-05-18T01:08:49.506641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:49.506641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boutet de Monvel's Calculus and Groupoids I","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"math.KT","authors_text":"Bertrand Monthubert (IMT), Elmar Schrohe (Institut F\\\"ur Analysis), Johannes Aastrup (Institut F\\\"ur Analysis), Severino T. Melo (Instituto De Matem\\'atica E Estat\\'istica)","submitted_at":"2006-11-11T21:22:52Z","abstract_excerpt":"Can Boutet de Monvel's algebra on a compact manifold with boundary be obtained as the algebra $\\Psi^0(G)$ of pseudodifferential operators on some Lie groupoid $G$? If it could, the kernel ${\\mathcal G}$ of the principal symbol homomorphism would be isomorphic to the groupoid {$C^*$-algebra} $C^*(G)$. While the answer to the above question remains open, we exhibit in this paper a groupoid $G$ such that $C^*(G)$ possesses an ideal ${\\mathcal I}$ isomorphic to ${\\mathcal G}$. %ES, the kernel of the principal symbol homomorphism on Boutet de Monvel's algebra. In fact, we prove first that ${\\mathca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611336","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":"math/0611336","created_at":"2026-05-18T01:08:49.506716+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0611336v1","created_at":"2026-05-18T01:08:49.506716+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611336","created_at":"2026-05-18T01:08:49.506716+00:00"},{"alias_kind":"pith_short_12","alias_value":"6VQWVTRUZMQH","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"6VQWVTRUZMQH7UUR","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"6VQWVTRU","created_at":"2026-05-18T12:25:53.939244+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/6VQWVTRUZMQH7UURHFQLBER6XT","json":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT.json","graph_json":"https://pith.science/api/pith-number/6VQWVTRUZMQH7UURHFQLBER6XT/graph.json","events_json":"https://pith.science/api/pith-number/6VQWVTRUZMQH7UURHFQLBER6XT/events.json","paper":"https://pith.science/paper/6VQWVTRU"},"agent_actions":{"view_html":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT","download_json":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT.json","view_paper":"https://pith.science/paper/6VQWVTRU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0611336&json=true","fetch_graph":"https://pith.science/api/pith-number/6VQWVTRUZMQH7UURHFQLBER6XT/graph.json","fetch_events":"https://pith.science/api/pith-number/6VQWVTRUZMQH7UURHFQLBER6XT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT/action/storage_attestation","attest_author":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT/action/author_attestation","sign_citation":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT/action/citation_signature","submit_replication":"https://pith.science/pith/6VQWVTRUZMQH7UURHFQLBER6XT/action/replication_record"}},"created_at":"2026-05-18T01:08:49.506716+00:00","updated_at":"2026-05-18T01:08:49.506716+00:00"}