{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW","short_pith_number":"pith:V4Q3I4NP","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"},"canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","source":{"kind":"arxiv","id":"1511.03001","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03001","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03001v2","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03001","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"V4Q3I4NPFMTX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V4Q3I4NPFMTXDC7N","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V4Q3I4NP","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW","target":"record","payload":{"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"},"canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","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"},"source_kind":"arxiv","source_id":"1511.03001","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lCF+RZJuAJOxj3KJq0bd/bfEYB13d5HOOlCAAOoMCwH+YPinzEBPOYx9rI1yhwnc3E0Dab59X7/+cjlClqQdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:06:50.289044Z"},"content_sha256":"bfbfbff0dd1fb2da90634a8f85ebfea236b5fb807a53cbbf6a9927b60ace1b42","schema_version":"1.0","event_id":"sha256:bfbfbff0dd1fb2da90634a8f85ebfea236b5fb807a53cbbf6a9927b60ace1b42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:24:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9GUYwnpfRmMWNGNaYgG9IwMwd+r3+VrrU/ilhvbyr9PgIMwBZPAJGZ/7OQkldTre+VOwQbhlBGSdSRsqwOwXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:06:50.289406Z"},"content_sha256":"27ba232a4784fd253d3ace557f3f222eff436bdaab15e3805bcf399d758678b0","schema_version":"1.0","event_id":"sha256:27ba232a4784fd253d3ace557f3f222eff436bdaab15e3805bcf399d758678b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/bundle.json","state_url":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T04:06:50Z","links":{"resolver":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW","bundle":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/bundle.json","state":"https://pith.science/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V4Q3I4NPFMTXDC7NDJ5R5DAHFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V4Q3I4NPFMTXDC7NDJ5R5DAHFW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"78aa5ef7b91e3d5f725e362ee0dd215fc8651a4d6949d250377bbccc27f150ec","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-11-10T06:36:09Z","title_canon_sha256":"802c60907bf67ab1a891de80e118ef126d9234185f00ecde0454567ce5ae526e"},"schema_version":"1.0","source":{"id":"1511.03001","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03001","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03001v2","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03001","created_at":"2026-05-18T00:24:53Z"},{"alias_kind":"pith_short_12","alias_value":"V4Q3I4NPFMTX","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V4Q3I4NPFMTXDC7N","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V4Q3I4NP","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:27ba232a4784fd253d3ace557f3f222eff436bdaab15e3805bcf399d758678b0","target":"graph","created_at":"2026-05-18T00:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Brian A. Davey, Jane G. Pitkethly, Ross Willard","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-11-10T06:36:09Z","title":"New-from-old full dualities via axiomatisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03001","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bfbfbff0dd1fb2da90634a8f85ebfea236b5fb807a53cbbf6a9927b60ace1b42","target":"record","created_at":"2026-05-18T00:24:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"78aa5ef7b91e3d5f725e362ee0dd215fc8651a4d6949d250377bbccc27f150ec","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-11-10T06:36:09Z","title_canon_sha256":"802c60907bf67ab1a891de80e118ef126d9234185f00ecde0454567ce5ae526e"},"schema_version":"1.0","source":{"id":"1511.03001","kind":"arxiv","version":2}},"canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af21b471af2b27718bed1a7b1e8c072da9ec4ff5579dfdbc870365c8dffea541","first_computed_at":"2026-05-18T00:24:53.449652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:53.449652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lKQS9hXHVFHNz1ShqYeU+2bXGe5tm3NXQpPfUCV54+GgjLw5bUHjHojSUjbbTzNkSC7/wZ0sETrWpBykgHcyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:53.450377Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03001","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfbfbff0dd1fb2da90634a8f85ebfea236b5fb807a53cbbf6a9927b60ace1b42","sha256:27ba232a4784fd253d3ace557f3f222eff436bdaab15e3805bcf399d758678b0"],"state_sha256":"1a707b29a96e07c3e140785b8e52cd460fe7075b121519c8171a6ab70f3d15d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sog06+KsoiqtmYedLRk9P1X5PbFBkng4kLGsDyZHxBaTTpyc0WZiYOlZbyDsyrPEJq5uAKJ9eKt5a7yWUzXwAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:06:50.291445Z","bundle_sha256":"df055a7d7112068f262a7445e900b5a58e7ae1a0827e926af23fff41d06c54f9"}}