{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LT5A5FDBUSHPXDJGX4AW3UAIBY","short_pith_number":"pith:LT5A5FDB","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"},"canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","source":{"kind":"arxiv","id":"1201.6525","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6525","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6525v1","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6525","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"LT5A5FDBUSHP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LT5A5FDBUSHPXDJG","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LT5A5FDB","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LT5A5FDBUSHPXDJGX4AW3UAIBY","target":"record","payload":{"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"},"canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","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"},"source_kind":"arxiv","source_id":"1201.6525","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8CLWF11BtLqH9aaoOPxVtH/+hi0837J2wHRaacJQDqkXeSrqhN/3uBWJF8C1j2BMjfysf8LCcNXIKq3mT6+/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:40:25.397956Z"},"content_sha256":"7cf74f9c048d594de69139701326c005ca6944f264a6cfb1bfc279ab1799dcc1","schema_version":"1.0","event_id":"sha256:7cf74f9c048d594de69139701326c005ca6944f264a6cfb1bfc279ab1799dcc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LT5A5FDBUSHPXDJGX4AW3UAIBY","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ptuKmq/bP4oQ/SyxUS+PQUvQQWjs2+H1lm+wHm5FpIhRBdz1v+S5sL1tlp7DbzdccWztL5D0AKsGL5rq+g9+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:40:25.398299Z"},"content_sha256":"bce80438b3081a73628f710b3c98add562f872b10f84567facba8848b8ee9eac","schema_version":"1.0","event_id":"sha256:bce80438b3081a73628f710b3c98add562f872b10f84567facba8848b8ee9eac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/bundle.json","state_url":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T09:40:25Z","links":{"resolver":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY","bundle":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/bundle.json","state":"https://pith.science/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LT5A5FDBUSHPXDJGX4AW3UAIBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LT5A5FDBUSHPXDJGX4AW3UAIBY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"46499cfb5f0e6ab23f90b702ce43400c190f5002d7517ce09f26780c38627b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-31T12:47:47Z","title_canon_sha256":"bdbb27aed868e385fa20b08a130b604528e0e8d83d979fc5069bac65454f93c4"},"schema_version":"1.0","source":{"id":"1201.6525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.6525","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"arxiv_version","alias_value":"1201.6525v1","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.6525","created_at":"2026-05-18T04:03:31Z"},{"alias_kind":"pith_short_12","alias_value":"LT5A5FDBUSHP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LT5A5FDBUSHPXDJG","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LT5A5FDB","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:bce80438b3081a73628f710b3c98add562f872b10f84567facba8848b8ee9eac","target":"graph","created_at":"2026-05-18T04:03:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Bert-Wolfgang Schulze, Yawei Wei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-31T12:47:47Z","title":"The Mellin-Edge Quantisation for Corner Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.6525","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7cf74f9c048d594de69139701326c005ca6944f264a6cfb1bfc279ab1799dcc1","target":"record","created_at":"2026-05-18T04:03:31Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"46499cfb5f0e6ab23f90b702ce43400c190f5002d7517ce09f26780c38627b8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-01-31T12:47:47Z","title_canon_sha256":"bdbb27aed868e385fa20b08a130b604528e0e8d83d979fc5069bac65454f93c4"},"schema_version":"1.0","source":{"id":"1201.6525","kind":"arxiv","version":1}},"canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cfa0e9461a48efb8d26bf016dd0080e24ec605a873d5f718f790374a58785f2","first_computed_at":"2026-05-18T04:03:31.275636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:31.275636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4s4H+iGMP5VUb+YcetpdUKALWKF61QfFeGOFh4wmxZNjiDmhETfjxZZW+w8vOW6Q9WExvuJYu5MEY3tUsoGqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:31.276150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.6525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cf74f9c048d594de69139701326c005ca6944f264a6cfb1bfc279ab1799dcc1","sha256:bce80438b3081a73628f710b3c98add562f872b10f84567facba8848b8ee9eac"],"state_sha256":"f7ef2ec041a16b305884300c627610b5a08d63d9345632567ff74fd94e0c2217"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"reVeAZKaLIqQB5Fto+5TEnn2/lYwy8y+/lj0bJccfli8Hi++s+Y/RIg1DeymJ2Eryl87SejTH38TfCK3a7udAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:40:25.400176Z","bundle_sha256":"6be9b18c585d417ff966db3b8b452c059bf92c71b3d23c6797391e05bef2b63c"}}