{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:POZLOZIOAKCEVQNAXYPNZEWIXS","short_pith_number":"pith:POZLOZIO","schema_version":"1.0","canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","source":{"kind":"arxiv","id":"1709.05035","version":1},"attestation_state":"computed","paper":{"title":"Residue formula for regular symmetry breaking operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"math.RT","authors_text":"Toshiyuki Kobayashi","submitted_at":"2017-09-15T02:21:00Z","abstract_excerpt":"We prove an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms on ${\\bf R}^n$ and on its hyperplane.\n  The results provide a simple and new construction of the conformally covariant differential symmetry breaking operators between differential forms on the sphere and those on its totally geodesic hypersurface that were introduced in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)].\n  Moreover, we determine the zeros of the matrix-valued regular symmetry breaking operators between principal series representations of $"},"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":"1709.05035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-09-15T02:21:00Z","cross_cats_sorted":["math-ph","math.DG","math.MP"],"title_canon_sha256":"041d0d1fc2d3e3b0f138708e5dd4fdfadb882a740522282cc76daeba03b18b9f","abstract_canon_sha256":"0998d4fa1740d11a991cbfed7fdcd3ea007935aafc29a8c4241d30ab9c5d2189"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:17.955247Z","signature_b64":"FtYfkJEV6l/y9p/c91tPdDEMlaBYG4MG1Yd9lFJOdvQJMD/lSPkhgrwiRo40PCC4hIHkOgFQiWfUuzdP8p/ZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bb2b7650e02844ac1a0be1edc92c8bc927d045d1a9d992599e73ce7e65dbcdf","last_reissued_at":"2026-05-17T23:49:17.954741Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:17.954741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Residue formula for regular symmetry breaking operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DG","math.MP"],"primary_cat":"math.RT","authors_text":"Toshiyuki Kobayashi","submitted_at":"2017-09-15T02:21:00Z","abstract_excerpt":"We prove an explicit residue formula for a meromorphic continuation of conformally covariant integral operators between differential forms on ${\\bf R}^n$ and on its hyperplane.\n  The results provide a simple and new construction of the conformally covariant differential symmetry breaking operators between differential forms on the sphere and those on its totally geodesic hypersurface that were introduced in [Kobayashi-Kubo-Pevzner, Lect. Notes Math. (2016)].\n  Moreover, we determine the zeros of the matrix-valued regular symmetry breaking operators between principal series representations of $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.05035","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":"1709.05035","created_at":"2026-05-17T23:49:17.954822+00:00"},{"alias_kind":"arxiv_version","alias_value":"1709.05035v1","created_at":"2026-05-17T23:49:17.954822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.05035","created_at":"2026-05-17T23:49:17.954822+00:00"},{"alias_kind":"pith_short_12","alias_value":"POZLOZIOAKCE","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"POZLOZIOAKCEVQNA","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"POZLOZIO","created_at":"2026-05-18T12:31:37.085036+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/POZLOZIOAKCEVQNAXYPNZEWIXS","json":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS.json","graph_json":"https://pith.science/api/pith-number/POZLOZIOAKCEVQNAXYPNZEWIXS/graph.json","events_json":"https://pith.science/api/pith-number/POZLOZIOAKCEVQNAXYPNZEWIXS/events.json","paper":"https://pith.science/paper/POZLOZIO"},"agent_actions":{"view_html":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS","download_json":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS.json","view_paper":"https://pith.science/paper/POZLOZIO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1709.05035&json=true","fetch_graph":"https://pith.science/api/pith-number/POZLOZIOAKCEVQNAXYPNZEWIXS/graph.json","fetch_events":"https://pith.science/api/pith-number/POZLOZIOAKCEVQNAXYPNZEWIXS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/action/storage_attestation","attest_author":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/action/author_attestation","sign_citation":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/action/citation_signature","submit_replication":"https://pith.science/pith/POZLOZIOAKCEVQNAXYPNZEWIXS/action/replication_record"}},"created_at":"2026-05-17T23:49:17.954822+00:00","updated_at":"2026-05-17T23:49:17.954822+00:00"}