{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ISJF2ID5B255B2VBUPK4G7Z5JH","short_pith_number":"pith:ISJF2ID5","schema_version":"1.0","canonical_sha256":"44925d207d0ebbd0eaa1a3d5c37f3d49cc33747448b4e62a0edbc14f1481961a","source":{"kind":"arxiv","id":"1008.2425","version":1},"attestation_state":"computed","paper":{"title":"A minimal nonfinitely based semigroup whose variety is polynomially recognizable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"math.GR","authors_text":"Mikhail V. Volkov, Stanislav I. Kublanovsky, Svetlana V. Goldberg","submitted_at":"2010-08-14T10:04:03Z","abstract_excerpt":"We exhibit a 6-element semigroup that has no finite identity basis but nevertheless generates a variety whose finite membership problem admits a polynomial algorithm."},"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":"1008.2425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2010-08-14T10:04:03Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"885a36f4c9fc6a77cd0c224c17f635324891f31ff10798643c46e8b01743e033","abstract_canon_sha256":"cc15a8086db1f9f28b12ebfacfe7353601cccff773507f49ff1e5187d8b6c5d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.679481Z","signature_b64":"XJtyZaoTmjEXIqBQB9av6OFg2ggiVyy1BBXR3i3uhe+Ha3oSorikGhytPx7RknuBVKU6d7MOZqlhN5Vs59p5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44925d207d0ebbd0eaa1a3d5c37f3d49cc33747448b4e62a0edbc14f1481961a","last_reissued_at":"2026-05-18T02:33:01.679108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.679108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A minimal nonfinitely based semigroup whose variety is polynomially recognizable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"math.GR","authors_text":"Mikhail V. Volkov, Stanislav I. Kublanovsky, Svetlana V. Goldberg","submitted_at":"2010-08-14T10:04:03Z","abstract_excerpt":"We exhibit a 6-element semigroup that has no finite identity basis but nevertheless generates a variety whose finite membership problem admits a polynomial algorithm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.2425","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":"1008.2425","created_at":"2026-05-18T02:33:01.679168+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.2425v1","created_at":"2026-05-18T02:33:01.679168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.2425","created_at":"2026-05-18T02:33:01.679168+00:00"},{"alias_kind":"pith_short_12","alias_value":"ISJF2ID5B255","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"ISJF2ID5B255B2VB","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"ISJF2ID5","created_at":"2026-05-18T12:26:09.077623+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/ISJF2ID5B255B2VBUPK4G7Z5JH","json":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH.json","graph_json":"https://pith.science/api/pith-number/ISJF2ID5B255B2VBUPK4G7Z5JH/graph.json","events_json":"https://pith.science/api/pith-number/ISJF2ID5B255B2VBUPK4G7Z5JH/events.json","paper":"https://pith.science/paper/ISJF2ID5"},"agent_actions":{"view_html":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH","download_json":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH.json","view_paper":"https://pith.science/paper/ISJF2ID5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.2425&json=true","fetch_graph":"https://pith.science/api/pith-number/ISJF2ID5B255B2VBUPK4G7Z5JH/graph.json","fetch_events":"https://pith.science/api/pith-number/ISJF2ID5B255B2VBUPK4G7Z5JH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH/action/storage_attestation","attest_author":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH/action/author_attestation","sign_citation":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH/action/citation_signature","submit_replication":"https://pith.science/pith/ISJF2ID5B255B2VBUPK4G7Z5JH/action/replication_record"}},"created_at":"2026-05-18T02:33:01.679168+00:00","updated_at":"2026-05-18T02:33:01.679168+00:00"}