{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW","short_pith_number":"pith:V4Q3I4NP","schema_version":"1.0","canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","source":{"kind":"arxiv","id":"1511.03001","version":2},"attestation_state":"computed","paper":{"title":"New-from-old full dualities via axiomatisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.RA","authors_text":"Brian A. Davey, Jane G. Pitkethly, Ross Willard","submitted_at":"2015-11-10T06:36:09Z","abstract_excerpt":"We clarify what it means for two full dualities based on the same algebra to be different. Our main theorem gives conditions on two different alter egos of a finite algebra under which, if one yields a full duality, then the other does too. We use this theorem to obtain a better understanding of several important examples from the theory of natural dualities. Throughout the paper, a fundamental role is played by the universal Horn theory of the dual classes."},"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":"1511.03001","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-11-10T06:36:09Z","cross_cats_sorted":["math.LO"],"title_canon_sha256":"802c60907bf67ab1a891de80e118ef126d9234185f00ecde0454567ce5ae526e","abstract_canon_sha256":"78aa5ef7b91e3d5f725e362ee0dd215fc8651a4d6949d250377bbccc27f150ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:53.450377Z","signature_b64":"lKQS9hXHVFHNz1ShqYeU+2bXGe5tm3NXQpPfUCV54+GgjLw5bUHjHojSUjbbTzNkSC7/wZ0sETrWpBykgHcyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","last_reissued_at":"2026-05-18T00:24:53.449652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:53.449652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New-from-old full dualities via axiomatisation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.LO"],"primary_cat":"math.RA","authors_text":"Brian A. Davey, Jane G. Pitkethly, Ross Willard","submitted_at":"2015-11-10T06:36:09Z","abstract_excerpt":"We clarify what it means for two full dualities based on the same algebra to be different. Our main theorem gives conditions on two different alter egos of a finite algebra under which, if one yields a full duality, then the other does too. We use this theorem to obtain a better understanding of several important examples from the theory of natural dualities. Throughout the paper, a fundamental role is played by the universal Horn theory of the dual classes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03001","kind":"arxiv","version":2},"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":"1511.03001","created_at":"2026-05-18T00:24:53.449760+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03001v2","created_at":"2026-05-18T00:24:53.449760+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03001","created_at":"2026-05-18T00:24:53.449760+00:00"},{"alias_kind":"pith_short_12","alias_value":"V4Q3I4NPFMTX","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"V4Q3I4NPFMTXDC7N","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"V4Q3I4NP","created_at":"2026-05-18T12:29:44.643036+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/V4Q3I4NPFMTXDC7NDJ5R5DAHFW","json":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW.json","graph_json":"https://pith.science/api/pith-number/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/graph.json","events_json":"https://pith.science/api/pith-number/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/events.json","paper":"https://pith.science/paper/V4Q3I4NP"},"agent_actions":{"view_html":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW","download_json":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW.json","view_paper":"https://pith.science/paper/V4Q3I4NP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03001&json=true","fetch_graph":"https://pith.science/api/pith-number/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/graph.json","fetch_events":"https://pith.science/api/pith-number/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/action/storage_attestation","attest_author":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/action/author_attestation","sign_citation":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/action/citation_signature","submit_replication":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/action/replication_record"}},"created_at":"2026-05-18T00:24:53.449760+00:00","updated_at":"2026-05-18T00:24:53.449760+00:00"}