{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6BRWXLGRWYKBSX65G7CLLAOOBU","short_pith_number":"pith:6BRWXLGR","schema_version":"1.0","canonical_sha256":"f0636bacd1b614195fdd37c4b581ce0d30d43b4efac71df73d75f25d491024db","source":{"kind":"arxiv","id":"1304.7608","version":3},"attestation_state":"computed","paper":{"title":"The equality of the homogeneous and the Gabor wave front set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Patrik Wahlberg, Ren\\'e Schulz","submitted_at":"2013-04-29T10:05:25Z","abstract_excerpt":"We prove that H\\\"ormander's global wave front set and Nakamura's homogeneous wave front set of a tempered distribution coincide. In addition we construct a tempered distribution with a given wave front set, and we develop a pseudodifferential calculus adapted to Nakamura's homogeneous wave front set."},"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":"1304.7608","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-04-29T10:05:25Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"81cb8aea09ed51543ae79c5f3852def4b65fd2acdfd920bde60d7091dcd6d181","abstract_canon_sha256":"b72c30671bf997fada779156f243af350d63020aa9b10a0eeb7ad1bd27b757ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:38.985507Z","signature_b64":"RPdhHJeQ6xh0BzqV4KOt8SUu1Qek1Z5+7ZB7YzsYoybGSsE/WUtjLwRw3wZB8XlMDg7ThX65F9ga3XKuLbkzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0636bacd1b614195fdd37c4b581ce0d30d43b4efac71df73d75f25d491024db","last_reissued_at":"2026-05-18T01:10:38.985091Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:38.985091Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The equality of the homogeneous and the Gabor wave front set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Patrik Wahlberg, Ren\\'e Schulz","submitted_at":"2013-04-29T10:05:25Z","abstract_excerpt":"We prove that H\\\"ormander's global wave front set and Nakamura's homogeneous wave front set of a tempered distribution coincide. In addition we construct a tempered distribution with a given wave front set, and we develop a pseudodifferential calculus adapted to Nakamura's homogeneous wave front set."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.7608","kind":"arxiv","version":3},"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":"1304.7608","created_at":"2026-05-18T01:10:38.985150+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.7608v3","created_at":"2026-05-18T01:10:38.985150+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.7608","created_at":"2026-05-18T01:10:38.985150+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BRWXLGRWYKB","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BRWXLGRWYKBSX65","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BRWXLGR","created_at":"2026-05-18T12:27:36.564083+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/6BRWXLGRWYKBSX65G7CLLAOOBU","json":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU.json","graph_json":"https://pith.science/api/pith-number/6BRWXLGRWYKBSX65G7CLLAOOBU/graph.json","events_json":"https://pith.science/api/pith-number/6BRWXLGRWYKBSX65G7CLLAOOBU/events.json","paper":"https://pith.science/paper/6BRWXLGR"},"agent_actions":{"view_html":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU","download_json":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU.json","view_paper":"https://pith.science/paper/6BRWXLGR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.7608&json=true","fetch_graph":"https://pith.science/api/pith-number/6BRWXLGRWYKBSX65G7CLLAOOBU/graph.json","fetch_events":"https://pith.science/api/pith-number/6BRWXLGRWYKBSX65G7CLLAOOBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU/action/storage_attestation","attest_author":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU/action/author_attestation","sign_citation":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU/action/citation_signature","submit_replication":"https://pith.science/pith/6BRWXLGRWYKBSX65G7CLLAOOBU/action/replication_record"}},"created_at":"2026-05-18T01:10:38.985150+00:00","updated_at":"2026-05-18T01:10:38.985150+00:00"}