{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LT5A5FDBUSHPXDJGX4AW3UAIBY","short_pith_number":"pith:LT5A5FDB","schema_version":"1.0","canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","source":{"kind":"arxiv","id":"1201.6525","version":1},"attestation_state":"computed","paper":{"title":"The Mellin-Edge Quantisation for Corner Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bert-Wolfgang Schulze, Yawei Wei","submitted_at":"2012-01-31T12:47:47Z","abstract_excerpt":"We establish a quantisation of corner-degenerate symbols, here called Mellin-edge quantisation, on a manifold $M$ with second order singularities. The typical ingredients come from the \"most singular\" stratum of $M$ which is a second order edge where the infinite transversal cone has a base $B$ that is itself a manifold with smooth edge. The resulting operator-valued amplitude functions on the second order edge are formulated purely in terms of Mellin symbols taking values in the edge algebra over $B.$ In this respect our result is formally analogous to a quantisation rule of a joint paper wit"},"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":"1201.6525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-31T12:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"bdbb27aed868e385fa20b08a130b604528e0e8d83d979fc5069bac65454f93c4","abstract_canon_sha256":"46499cfb5f0e6ab23f90b702ce43400c190f5002d7517ce09f26780c38627b8a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:31.276150Z","signature_b64":"4s4H+iGMP5VUb+YcetpdUKALWKF61QfFeGOFh4wmxZNjiDmhETfjxZZW+w8vOW6Q9WExvuJYu5MEY3tUsoGqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","last_reissued_at":"2026-05-18T04:03:31.275636Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:31.275636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Mellin-Edge Quantisation for Corner Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bert-Wolfgang Schulze, Yawei Wei","submitted_at":"2012-01-31T12:47:47Z","abstract_excerpt":"We establish a quantisation of corner-degenerate symbols, here called Mellin-edge quantisation, on a manifold $M$ with second order singularities. The typical ingredients come from the \"most singular\" stratum of $M$ which is a second order edge where the infinite transversal cone has a base $B$ that is itself a manifold with smooth edge. The resulting operator-valued amplitude functions on the second order edge are formulated purely in terms of Mellin symbols taking values in the edge algebra over $B.$ In this respect our result is formally analogous to a quantisation rule of a joint paper wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6525","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":"1201.6525","created_at":"2026-05-18T04:03:31.275713+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.6525v1","created_at":"2026-05-18T04:03:31.275713+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6525","created_at":"2026-05-18T04:03:31.275713+00:00"},{"alias_kind":"pith_short_12","alias_value":"LT5A5FDBUSHP","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LT5A5FDBUSHPXDJG","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LT5A5FDB","created_at":"2026-05-18T12:27:14.488303+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/LT5A5FDBUSHPXDJGX4AW3UAIBY","json":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY.json","graph_json":"https://pith.science/api/pith-number/LT5A5FDBUSHPXDJGX4AW3UAIBY/graph.json","events_json":"https://pith.science/api/pith-number/LT5A5FDBUSHPXDJGX4AW3UAIBY/events.json","paper":"https://pith.science/paper/LT5A5FDB"},"agent_actions":{"view_html":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY","download_json":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY.json","view_paper":"https://pith.science/paper/LT5A5FDB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.6525&json=true","fetch_graph":"https://pith.science/api/pith-number/LT5A5FDBUSHPXDJGX4AW3UAIBY/graph.json","fetch_events":"https://pith.science/api/pith-number/LT5A5FDBUSHPXDJGX4AW3UAIBY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/action/storage_attestation","attest_author":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/action/author_attestation","sign_citation":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/action/citation_signature","submit_replication":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/action/replication_record"}},"created_at":"2026-05-18T04:03:31.275713+00:00","updated_at":"2026-05-18T04:03:31.275713+00:00"}