{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:I2SRTPNAITPVTFQ4HASFLADQNQ","short_pith_number":"pith:I2SRTPNA","schema_version":"1.0","canonical_sha256":"46a519bda044df59961c38245580706c019a67fece696d83758de01094c8d21b","source":{"kind":"arxiv","id":"1505.02011","version":1},"attestation_state":"computed","paper":{"title":"K-regularity of locally convex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Hvedri Inassaridze","submitted_at":"2015-05-08T12:22:10Z","abstract_excerpt":"The isomorphism of Karoubi-Villamayor K-groups with smooth K-groups for monoid algebras over quasi stable locally convex algebras is established and we prove that the Quillen K- groups are isomorphic to smooth K-groups for monoid algebras over quasi-stable Frechet algebras having a properly uniformly bounded approximate unit. Based on these results the K-regularity property for quasi-stable Frechet algebras having a properly uniformly bounded approximate unit is established."},"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":"1505.02011","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2015-05-08T12:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"1b297f955a607cd682b8e8a25fe62511d971c822fb2e46e355dc1303bf3aaf3e","abstract_canon_sha256":"fe15be9256b15009e46ef8c5aee1d1ac1cc49af20c67fc2b7827a0bafc0be3d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:38.154974Z","signature_b64":"DpqMJ5wa72VWevnen1vGeizPpEf7e2nun9e/f8TzLya9iSlnPv8JGJmo2W2PeSMJj/1htI1BxESc7GqdncTwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46a519bda044df59961c38245580706c019a67fece696d83758de01094c8d21b","last_reissued_at":"2026-05-18T02:16:38.154379Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:38.154379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-regularity of locally convex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Hvedri Inassaridze","submitted_at":"2015-05-08T12:22:10Z","abstract_excerpt":"The isomorphism of Karoubi-Villamayor K-groups with smooth K-groups for monoid algebras over quasi stable locally convex algebras is established and we prove that the Quillen K- groups are isomorphic to smooth K-groups for monoid algebras over quasi-stable Frechet algebras having a properly uniformly bounded approximate unit. Based on these results the K-regularity property for quasi-stable Frechet algebras having a properly uniformly bounded approximate unit is established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02011","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":"1505.02011","created_at":"2026-05-18T02:16:38.154482+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.02011v1","created_at":"2026-05-18T02:16:38.154482+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02011","created_at":"2026-05-18T02:16:38.154482+00:00"},{"alias_kind":"pith_short_12","alias_value":"I2SRTPNAITPV","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"I2SRTPNAITPVTFQ4","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"I2SRTPNA","created_at":"2026-05-18T12:29:25.134429+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/I2SRTPNAITPVTFQ4HASFLADQNQ","json":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ.json","graph_json":"https://pith.science/api/pith-number/I2SRTPNAITPVTFQ4HASFLADQNQ/graph.json","events_json":"https://pith.science/api/pith-number/I2SRTPNAITPVTFQ4HASFLADQNQ/events.json","paper":"https://pith.science/paper/I2SRTPNA"},"agent_actions":{"view_html":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ","download_json":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ.json","view_paper":"https://pith.science/paper/I2SRTPNA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.02011&json=true","fetch_graph":"https://pith.science/api/pith-number/I2SRTPNAITPVTFQ4HASFLADQNQ/graph.json","fetch_events":"https://pith.science/api/pith-number/I2SRTPNAITPVTFQ4HASFLADQNQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ/action/storage_attestation","attest_author":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ/action/author_attestation","sign_citation":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ/action/citation_signature","submit_replication":"https://pith.science/pith/I2SRTPNAITPVTFQ4HASFLADQNQ/action/replication_record"}},"created_at":"2026-05-18T02:16:38.154482+00:00","updated_at":"2026-05-18T02:16:38.154482+00:00"}