{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:REE2V3J6JG3FJKSYJ4PSE232YG","short_pith_number":"pith:REE2V3J6","schema_version":"1.0","canonical_sha256":"8909aaed3e49b654aa584f1f226b7ac1a0957e5355ae6cb55b1ab222796bfcbe","source":{"kind":"arxiv","id":"1901.06126","version":1},"attestation_state":"computed","paper":{"title":"Semigroups generated by partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"O. Dovgoshey","submitted_at":"2019-01-18T08:19:22Z","abstract_excerpt":"Let $X$ be a nonempty set and $X^{2}$ be the Cartesian square of $X$. Some semigroups of binary relations generated partitions of $X^2$ are studied. In particular, the algebraic structure of semigroups generated by the finest partition of $X^{2}$ and, respectively, by the finest symmetric partition of $X^{2}$ are described."},"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":"1901.06126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-01-18T08:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"4fb4bff5afc1c26420f08cc78aaa3b7e406c0d19b852a001ffecc8396ed057bd","abstract_canon_sha256":"406387507657df6033ef6d89f27eba4368b64aed6b3afb2e661c2771c06fa268"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:04.488499Z","signature_b64":"kRUyAzkaNtbeOOJNSGxf/J2X+RBxtcxc/TDtZ/uMOyfKLXtq8Ex4FmPUu5QS29sx8IYp8DvPvs7fe11igT+PAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8909aaed3e49b654aa584f1f226b7ac1a0957e5355ae6cb55b1ab222796bfcbe","last_reissued_at":"2026-05-17T23:56:04.487985Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:04.487985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semigroups generated by partitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"O. Dovgoshey","submitted_at":"2019-01-18T08:19:22Z","abstract_excerpt":"Let $X$ be a nonempty set and $X^{2}$ be the Cartesian square of $X$. Some semigroups of binary relations generated partitions of $X^2$ are studied. In particular, the algebraic structure of semigroups generated by the finest partition of $X^{2}$ and, respectively, by the finest symmetric partition of $X^{2}$ are described."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06126","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":"1901.06126","created_at":"2026-05-17T23:56:04.488055+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.06126v1","created_at":"2026-05-17T23:56:04.488055+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.06126","created_at":"2026-05-17T23:56:04.488055+00:00"},{"alias_kind":"pith_short_12","alias_value":"REE2V3J6JG3F","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"REE2V3J6JG3FJKSY","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"REE2V3J6","created_at":"2026-05-18T12:33:27.125529+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/REE2V3J6JG3FJKSYJ4PSE232YG","json":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG.json","graph_json":"https://pith.science/api/pith-number/REE2V3J6JG3FJKSYJ4PSE232YG/graph.json","events_json":"https://pith.science/api/pith-number/REE2V3J6JG3FJKSYJ4PSE232YG/events.json","paper":"https://pith.science/paper/REE2V3J6"},"agent_actions":{"view_html":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG","download_json":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG.json","view_paper":"https://pith.science/paper/REE2V3J6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.06126&json=true","fetch_graph":"https://pith.science/api/pith-number/REE2V3J6JG3FJKSYJ4PSE232YG/graph.json","fetch_events":"https://pith.science/api/pith-number/REE2V3J6JG3FJKSYJ4PSE232YG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG/action/storage_attestation","attest_author":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG/action/author_attestation","sign_citation":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG/action/citation_signature","submit_replication":"https://pith.science/pith/REE2V3J6JG3FJKSYJ4PSE232YG/action/replication_record"}},"created_at":"2026-05-17T23:56:04.488055+00:00","updated_at":"2026-05-17T23:56:04.488055+00:00"}