{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VMUSAEBVRB5YDYXLMBIIPFDUDT","short_pith_number":"pith:VMUSAEBV","schema_version":"1.0","canonical_sha256":"ab29201035887b81e2eb60508794741cc2610ae88dac90769b33580da10b87d6","source":{"kind":"arxiv","id":"1207.0121","version":1},"attestation_state":"computed","paper":{"title":"Monads of regular theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Marek Zawadowski, Stanis{\\l}aw Szawiel","submitted_at":"2012-06-30T18:02:56Z","abstract_excerpt":"We characterize the category of monads on $Set$ and the category of Lawvere theories that are equivalent to the category of regular equational theories."},"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":"1207.0121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2012-06-30T18:02:56Z","cross_cats_sorted":[],"title_canon_sha256":"4f522c283db95e20fd3c03da02d9bb24c0915922cfd4ce797e58a8631af5e54b","abstract_canon_sha256":"fcdf9991563527793abf736be724ccf7582a5d1dd34519b42e0c3edf779374e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:28.494920Z","signature_b64":"IPf0pwHdynGreRl3OEwuQ67Zubk3yOUudSWVog0hN/obubvVNhUiBAgWIF4I1k31VQhIDrRKx8cnnQe1qcfAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab29201035887b81e2eb60508794741cc2610ae88dac90769b33580da10b87d6","last_reissued_at":"2026-05-18T01:09:28.494504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:28.494504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Monads of regular theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Marek Zawadowski, Stanis{\\l}aw Szawiel","submitted_at":"2012-06-30T18:02:56Z","abstract_excerpt":"We characterize the category of monads on $Set$ and the category of Lawvere theories that are equivalent to the category of regular equational theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0121","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":"1207.0121","created_at":"2026-05-18T01:09:28.494568+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.0121v1","created_at":"2026-05-18T01:09:28.494568+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0121","created_at":"2026-05-18T01:09:28.494568+00:00"},{"alias_kind":"pith_short_12","alias_value":"VMUSAEBVRB5Y","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VMUSAEBVRB5YDYXL","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VMUSAEBV","created_at":"2026-05-18T12:27:25.539911+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/VMUSAEBVRB5YDYXLMBIIPFDUDT","json":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT.json","graph_json":"https://pith.science/api/pith-number/VMUSAEBVRB5YDYXLMBIIPFDUDT/graph.json","events_json":"https://pith.science/api/pith-number/VMUSAEBVRB5YDYXLMBIIPFDUDT/events.json","paper":"https://pith.science/paper/VMUSAEBV"},"agent_actions":{"view_html":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT","download_json":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT.json","view_paper":"https://pith.science/paper/VMUSAEBV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.0121&json=true","fetch_graph":"https://pith.science/api/pith-number/VMUSAEBVRB5YDYXLMBIIPFDUDT/graph.json","fetch_events":"https://pith.science/api/pith-number/VMUSAEBVRB5YDYXLMBIIPFDUDT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT/action/storage_attestation","attest_author":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT/action/author_attestation","sign_citation":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT/action/citation_signature","submit_replication":"https://pith.science/pith/VMUSAEBVRB5YDYXLMBIIPFDUDT/action/replication_record"}},"created_at":"2026-05-18T01:09:28.494568+00:00","updated_at":"2026-05-18T01:09:28.494568+00:00"}