{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3BS3U3XN6DTTEYXNZLCRRNJ43V","short_pith_number":"pith:3BS3U3XN","schema_version":"1.0","canonical_sha256":"d865ba6eedf0e73262edcac518b53cdd720f4a69b136a88693c2714a3cfb199f","source":{"kind":"arxiv","id":"1203.5649","version":1},"attestation_state":"computed","paper":{"title":"C*-Algebra approach to the index theory of boundary value problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OA"],"primary_cat":"math.KT","authors_text":"Elmar Schrohe (Universit\\\"at Hannover), Severino Melo (Universidade de S\\~ao Paulo), Thomas Schick (Georg-August-Universit\\\"at G\\\"ottingen)","submitted_at":"2012-03-26T12:46:24Z","abstract_excerpt":"Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatinski and Shapiro, it associates to each operator two symbols: a pseudodifferential principal symbol, which is a bundle homomorphism, and an operator-valued boundary symbol. Ellipticity requires the invertibility of both. If the underlying manifold is compact, elliptic elements define Fredholm operators. Boutet de Monvel showed how then the index can be computed in topological terms. The crucial observation is that elli"},"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":"1203.5649","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2012-03-26T12:46:24Z","cross_cats_sorted":["math.AP","math.OA"],"title_canon_sha256":"b5b56bdbc67c8da25572b4807186a83992d091e014954d95d1ee5f6f2c2fa319","abstract_canon_sha256":"03bed67e3cfb2c86622f21a3d79956913cbdaa733842618ac3a1f01adb703d8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:54.213132Z","signature_b64":"eq3fFLWM/21dAGEC5mnpHroEm+Kv+2ivswi6n554IbuV4n1VhnWitwX2WYn/v5Dpseh1UX3oIWARwGNeC4KqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d865ba6eedf0e73262edcac518b53cdd720f4a69b136a88693c2714a3cfb199f","last_reissued_at":"2026-05-17T23:59:54.212445Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:54.212445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"C*-Algebra approach to the index theory of boundary value problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OA"],"primary_cat":"math.KT","authors_text":"Elmar Schrohe (Universit\\\"at Hannover), Severino Melo (Universidade de S\\~ao Paulo), Thomas Schick (Georg-August-Universit\\\"at G\\\"ottingen)","submitted_at":"2012-03-26T12:46:24Z","abstract_excerpt":"Boutet de Monvel's calculus provides a pseudodifferential framework which encompasses the classical differential boundary value problems. In an extension of the concept of Lopatinski and Shapiro, it associates to each operator two symbols: a pseudodifferential principal symbol, which is a bundle homomorphism, and an operator-valued boundary symbol. Ellipticity requires the invertibility of both. If the underlying manifold is compact, elliptic elements define Fredholm operators. Boutet de Monvel showed how then the index can be computed in topological terms. The crucial observation is that elli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.5649","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":"1203.5649","created_at":"2026-05-17T23:59:54.212558+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.5649v1","created_at":"2026-05-17T23:59:54.212558+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.5649","created_at":"2026-05-17T23:59:54.212558+00:00"},{"alias_kind":"pith_short_12","alias_value":"3BS3U3XN6DTT","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"3BS3U3XN6DTTEYXN","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"3BS3U3XN","created_at":"2026-05-18T12:26:50.516681+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/3BS3U3XN6DTTEYXNZLCRRNJ43V","json":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V.json","graph_json":"https://pith.science/api/pith-number/3BS3U3XN6DTTEYXNZLCRRNJ43V/graph.json","events_json":"https://pith.science/api/pith-number/3BS3U3XN6DTTEYXNZLCRRNJ43V/events.json","paper":"https://pith.science/paper/3BS3U3XN"},"agent_actions":{"view_html":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V","download_json":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V.json","view_paper":"https://pith.science/paper/3BS3U3XN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.5649&json=true","fetch_graph":"https://pith.science/api/pith-number/3BS3U3XN6DTTEYXNZLCRRNJ43V/graph.json","fetch_events":"https://pith.science/api/pith-number/3BS3U3XN6DTTEYXNZLCRRNJ43V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V/action/storage_attestation","attest_author":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V/action/author_attestation","sign_citation":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V/action/citation_signature","submit_replication":"https://pith.science/pith/3BS3U3XN6DTTEYXNZLCRRNJ43V/action/replication_record"}},"created_at":"2026-05-17T23:59:54.212558+00:00","updated_at":"2026-05-17T23:59:54.212558+00:00"}