{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4FSCWNMLUOOIVEUEUTFHWGXKRP","short_pith_number":"pith:4FSCWNML","schema_version":"1.0","canonical_sha256":"e1642b358ba39c8a9284a4ca7b1aea8bdc35d5a713b0494c258f96718b3dad77","source":{"kind":"arxiv","id":"1410.1444","version":2},"attestation_state":"computed","paper":{"title":"Intrinsic pseudodifferential calculi on any compact Lie group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.RT","authors_text":"Veronique Fischer","submitted_at":"2014-09-27T08:34:01Z","abstract_excerpt":"In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) H\\\"ormander pseudo-differential calculus on the group viewed as a compact manifold."},"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":"1410.1444","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-09-27T08:34:01Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"eb6842bc41562b275adc83362cd6ffcc30e42b2a05c05a4400add6d44f63a61e","abstract_canon_sha256":"87c1e1f4bc5075762d00b3b7913a3e4fc50f71036b057be61f0dfa481565ea28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:26.652798Z","signature_b64":"1zKx8xCCGYdLWU6mM1D5nZdgdOkOUz07TbnK8z98/eaLIZfN3glv6zcTKzu4afKPZwP6QTkvikbvIRPdzB8/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1642b358ba39c8a9284a4ca7b1aea8bdc35d5a713b0494c258f96718b3dad77","last_reissued_at":"2026-05-18T02:23:26.652110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:26.652110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intrinsic pseudodifferential calculi on any compact Lie group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.RT","authors_text":"Veronique Fischer","submitted_at":"2014-09-27T08:34:01Z","abstract_excerpt":"In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) H\\\"ormander pseudo-differential calculus on the group viewed as a compact manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1444","kind":"arxiv","version":2},"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":"1410.1444","created_at":"2026-05-18T02:23:26.652209+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.1444v2","created_at":"2026-05-18T02:23:26.652209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1444","created_at":"2026-05-18T02:23:26.652209+00:00"},{"alias_kind":"pith_short_12","alias_value":"4FSCWNMLUOOI","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4FSCWNMLUOOIVEUE","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4FSCWNML","created_at":"2026-05-18T12:28:14.216126+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/4FSCWNMLUOOIVEUEUTFHWGXKRP","json":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP.json","graph_json":"https://pith.science/api/pith-number/4FSCWNMLUOOIVEUEUTFHWGXKRP/graph.json","events_json":"https://pith.science/api/pith-number/4FSCWNMLUOOIVEUEUTFHWGXKRP/events.json","paper":"https://pith.science/paper/4FSCWNML"},"agent_actions":{"view_html":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP","download_json":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP.json","view_paper":"https://pith.science/paper/4FSCWNML","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.1444&json=true","fetch_graph":"https://pith.science/api/pith-number/4FSCWNMLUOOIVEUEUTFHWGXKRP/graph.json","fetch_events":"https://pith.science/api/pith-number/4FSCWNMLUOOIVEUEUTFHWGXKRP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP/action/storage_attestation","attest_author":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP/action/author_attestation","sign_citation":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP/action/citation_signature","submit_replication":"https://pith.science/pith/4FSCWNMLUOOIVEUEUTFHWGXKRP/action/replication_record"}},"created_at":"2026-05-18T02:23:26.652209+00:00","updated_at":"2026-05-18T02:23:26.652209+00:00"}