{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IIEG7ZW4V6GY5X7TKRKMFDFKJ2","short_pith_number":"pith:IIEG7ZW4","schema_version":"1.0","canonical_sha256":"42086fe6dcaf8d8edff35454c28caa4e982c41b6d05b7a44562cdc266010cc9e","source":{"kind":"arxiv","id":"1704.08167","version":1},"attestation_state":"computed","paper":{"title":"Colombeau algebras without asymptotics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eduard A. Nigsch","submitted_at":"2017-04-26T15:44:23Z","abstract_excerpt":"We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition."},"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":"1704.08167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-04-26T15:44:23Z","cross_cats_sorted":[],"title_canon_sha256":"78e6d4d411e22db9f58f21f94d6dbb8fa7ae98dc38f66806a4b6f7ed9a3639b2","abstract_canon_sha256":"9e7285d87d8888505c6a37f6ebd8f017a395064d558bcef6a67683cebcae6899"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:30.985284Z","signature_b64":"8ixehnlpbnoeIq5yZENV8a2n/jPimiXQydD35dR9O8FoGN4KrD28/BxdDHk8etYFr+EhTx74mKQm7UpICVmDDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42086fe6dcaf8d8edff35454c28caa4e982c41b6d05b7a44562cdc266010cc9e","last_reissued_at":"2026-05-18T00:45:30.984903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:30.984903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Colombeau algebras without asymptotics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Eduard A. Nigsch","submitted_at":"2017-04-26T15:44:23Z","abstract_excerpt":"We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08167","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":"1704.08167","created_at":"2026-05-18T00:45:30.984960+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.08167v1","created_at":"2026-05-18T00:45:30.984960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08167","created_at":"2026-05-18T00:45:30.984960+00:00"},{"alias_kind":"pith_short_12","alias_value":"IIEG7ZW4V6GY","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IIEG7ZW4V6GY5X7T","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IIEG7ZW4","created_at":"2026-05-18T12:31:21.493067+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/IIEG7ZW4V6GY5X7TKRKMFDFKJ2","json":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2.json","graph_json":"https://pith.science/api/pith-number/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/graph.json","events_json":"https://pith.science/api/pith-number/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/events.json","paper":"https://pith.science/paper/IIEG7ZW4"},"agent_actions":{"view_html":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2","download_json":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2.json","view_paper":"https://pith.science/paper/IIEG7ZW4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.08167&json=true","fetch_graph":"https://pith.science/api/pith-number/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/graph.json","fetch_events":"https://pith.science/api/pith-number/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/action/storage_attestation","attest_author":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/action/author_attestation","sign_citation":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/action/citation_signature","submit_replication":"https://pith.science/pith/IIEG7ZW4V6GY5X7TKRKMFDFKJ2/action/replication_record"}},"created_at":"2026-05-18T00:45:30.984960+00:00","updated_at":"2026-05-18T00:45:30.984960+00:00"}