{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:JXS7KMCQLSBKTEUFGZ65XGIIBQ","short_pith_number":"pith:JXS7KMCQ","schema_version":"1.0","canonical_sha256":"4de5f530505c82a99285367ddb99080c13d2824535b01e9b19fe984155fbad93","source":{"kind":"arxiv","id":"math/0405131","version":1},"attestation_state":"computed","paper":{"title":"Algebras of non-Archimedean measures on groups","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"S.V. Ludkovsky","submitted_at":"2004-05-07T17:34:55Z","abstract_excerpt":"The article is devoted to the investigation of properties of quasi-invariant measures with values in non-Archimedean fields such as: convolutions of measures and functions; continuity of functions of measures; non-associative noncommutative algebras generated with the help of quasi-invariant measures."},"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":"math/0405131","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RA","submitted_at":"2004-05-07T17:34:55Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"d0c34efcf4006fc5ae67ec8307b0461a28625f123a7ad0dbb4840e5a66635b2b","abstract_canon_sha256":"6574ae4a89b14a29ceb93651be2edbe4d850add1ae0783cfb504f4c26f9c15ee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:08.986532Z","signature_b64":"z+mBB2MnWavSI60SMqQXsUUlEpn0GQeYWZ4IlaY0AaNBsbJ/okp4BVuuSCij4Wd1LKP8gS3iGxJH4kqEbhlBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4de5f530505c82a99285367ddb99080c13d2824535b01e9b19fe984155fbad93","last_reissued_at":"2026-05-17T23:58:08.985867Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:08.985867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Algebras of non-Archimedean measures on groups","license":"","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RA","authors_text":"S.V. Ludkovsky","submitted_at":"2004-05-07T17:34:55Z","abstract_excerpt":"The article is devoted to the investigation of properties of quasi-invariant measures with values in non-Archimedean fields such as: convolutions of measures and functions; continuity of functions of measures; non-associative noncommutative algebras generated with the help of quasi-invariant measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405131","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":"math/0405131","created_at":"2026-05-17T23:58:08.985983+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0405131v1","created_at":"2026-05-17T23:58:08.985983+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0405131","created_at":"2026-05-17T23:58:08.985983+00:00"},{"alias_kind":"pith_short_12","alias_value":"JXS7KMCQLSBK","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"JXS7KMCQLSBKTEUF","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"JXS7KMCQ","created_at":"2026-05-18T12:25:52.687210+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/JXS7KMCQLSBKTEUFGZ65XGIIBQ","json":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ.json","graph_json":"https://pith.science/api/pith-number/JXS7KMCQLSBKTEUFGZ65XGIIBQ/graph.json","events_json":"https://pith.science/api/pith-number/JXS7KMCQLSBKTEUFGZ65XGIIBQ/events.json","paper":"https://pith.science/paper/JXS7KMCQ"},"agent_actions":{"view_html":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ","download_json":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ.json","view_paper":"https://pith.science/paper/JXS7KMCQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0405131&json=true","fetch_graph":"https://pith.science/api/pith-number/JXS7KMCQLSBKTEUFGZ65XGIIBQ/graph.json","fetch_events":"https://pith.science/api/pith-number/JXS7KMCQLSBKTEUFGZ65XGIIBQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ/action/storage_attestation","attest_author":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ/action/author_attestation","sign_citation":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ/action/citation_signature","submit_replication":"https://pith.science/pith/JXS7KMCQLSBKTEUFGZ65XGIIBQ/action/replication_record"}},"created_at":"2026-05-17T23:58:08.985983+00:00","updated_at":"2026-05-17T23:58:08.985983+00:00"}