{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:D2ZFYJMFWM6PCXITKALEUFABKF","short_pith_number":"pith:D2ZFYJMF","canonical_record":{"source":{"id":"1902.02132","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2019-02-06T12:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"c185c5f2ab368536f685ff7fe81b85c0cb256e6345c4d2a63dcc2918509cb337","abstract_canon_sha256":"56f33ab5df58525e0d758344a07b35d6e5d0f412acc90f68642bc89a55ed1710"},"schema_version":"1.0"},"canonical_sha256":"1eb25c2585b33cf15d1350164a1401516d9b2920ca3dc71d70184bc6b4370544","source":{"kind":"arxiv","id":"1902.02132","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02132","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02132v1","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02132","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"D2ZFYJMFWM6P","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"D2ZFYJMFWM6PCXIT","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"D2ZFYJMF","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:D2ZFYJMFWM6PCXITKALEUFABKF","target":"record","payload":{"canonical_record":{"source":{"id":"1902.02132","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2019-02-06T12:17:08Z","cross_cats_sorted":[],"title_canon_sha256":"c185c5f2ab368536f685ff7fe81b85c0cb256e6345c4d2a63dcc2918509cb337","abstract_canon_sha256":"56f33ab5df58525e0d758344a07b35d6e5d0f412acc90f68642bc89a55ed1710"},"schema_version":"1.0"},"canonical_sha256":"1eb25c2585b33cf15d1350164a1401516d9b2920ca3dc71d70184bc6b4370544","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:37.842394Z","signature_b64":"6U9UDZi2ToOaJCyNdWHKLd/q3l6RT3pCEqsnQl+MTm3WoXWGFg45jOHY9jVmGnN971s7EvjrK6GKw/DqVqV0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eb25c2585b33cf15d1350164a1401516d9b2920ca3dc71d70184bc6b4370544","last_reissued_at":"2026-05-17T23:54:37.841816Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:37.841816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.02132","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OgCFiVvfOMNTTJfMBHl5i8Pn9jo5mDkGnXaS0Vr/CgCs4vQ5A62lG1aqsvCEgsbvNrMSROiz2cRc02OmqNdBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:19:50.472358Z"},"content_sha256":"9f9a5bc7b0d48895e8e937926f66109caadb869bb3f88102f93bb4f272eb995d","schema_version":"1.0","event_id":"sha256:9f9a5bc7b0d48895e8e937926f66109caadb869bb3f88102f93bb4f272eb995d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:D2ZFYJMFWM6PCXITKALEUFABKF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The FA Quantifier Fuzzification Mechanism: analysis of convergence and efficient implementations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"F\\'elix D\\'iaz-Hermida, Juan C. Vidal, Marcos Matabuena","submitted_at":"2019-02-06T12:17:08Z","abstract_excerpt":"The fuzzy quantification model FA has been identified as one of the best behaved quantification models in several revisions of the field of fuzzy quantification. This model is, to our knowledge, the unique one fulfilling the strict Determiner Fuzzification Scheme axiomatic framework that does not induce the standard min and max operators. The main contribution of this paper is the proof of a convergence result that links this quantification model with the Zadeh's model when the size of the input sets tends to infinite. The convergence proof is, in any case, more general than the convergence to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02132","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:54:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nbiAJIOXDRe5GAthx5uYkY2djfEt+i+lc6E5JU99lSTjI94M3PlHesFfFvmqChIorq2qfw/UBeBFwSoFgUY7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:19:50.473005Z"},"content_sha256":"72efa0e6a0019a7fb5f4d6fe61d77376c9a7a7f76c1a8585c48228c263413371","schema_version":"1.0","event_id":"sha256:72efa0e6a0019a7fb5f4d6fe61d77376c9a7a7f76c1a8585c48228c263413371"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2ZFYJMFWM6PCXITKALEUFABKF/bundle.json","state_url":"https://pith.science/pith/D2ZFYJMFWM6PCXITKALEUFABKF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2ZFYJMFWM6PCXITKALEUFABKF/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":"2026-05-30T09:19:50Z","links":{"resolver":"https://pith.science/pith/D2ZFYJMFWM6PCXITKALEUFABKF","bundle":"https://pith.science/pith/D2ZFYJMFWM6PCXITKALEUFABKF/bundle.json","state":"https://pith.science/pith/D2ZFYJMFWM6PCXITKALEUFABKF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2ZFYJMFWM6PCXITKALEUFABKF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:D2ZFYJMFWM6PCXITKALEUFABKF","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":"56f33ab5df58525e0d758344a07b35d6e5d0f412acc90f68642bc89a55ed1710","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2019-02-06T12:17:08Z","title_canon_sha256":"c185c5f2ab368536f685ff7fe81b85c0cb256e6345c4d2a63dcc2918509cb337"},"schema_version":"1.0","source":{"id":"1902.02132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02132","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02132v1","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02132","created_at":"2026-05-17T23:54:37Z"},{"alias_kind":"pith_short_12","alias_value":"D2ZFYJMFWM6P","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"D2ZFYJMFWM6PCXIT","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"D2ZFYJMF","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:72efa0e6a0019a7fb5f4d6fe61d77376c9a7a7f76c1a8585c48228c263413371","target":"graph","created_at":"2026-05-17T23:54:37Z","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":"The fuzzy quantification model FA has been identified as one of the best behaved quantification models in several revisions of the field of fuzzy quantification. This model is, to our knowledge, the unique one fulfilling the strict Determiner Fuzzification Scheme axiomatic framework that does not induce the standard min and max operators. The main contribution of this paper is the proof of a convergence result that links this quantification model with the Zadeh's model when the size of the input sets tends to infinite. The convergence proof is, in any case, more general than the convergence to","authors_text":"F\\'elix D\\'iaz-Hermida, Juan C. Vidal, Marcos Matabuena","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2019-02-06T12:17:08Z","title":"The FA Quantifier Fuzzification Mechanism: analysis of convergence and efficient implementations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02132","kind":"arxiv","version":1},"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":"sha256:9f9a5bc7b0d48895e8e937926f66109caadb869bb3f88102f93bb4f272eb995d","target":"record","created_at":"2026-05-17T23:54:37Z","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":"56f33ab5df58525e0d758344a07b35d6e5d0f412acc90f68642bc89a55ed1710","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2019-02-06T12:17:08Z","title_canon_sha256":"c185c5f2ab368536f685ff7fe81b85c0cb256e6345c4d2a63dcc2918509cb337"},"schema_version":"1.0","source":{"id":"1902.02132","kind":"arxiv","version":1}},"canonical_sha256":"1eb25c2585b33cf15d1350164a1401516d9b2920ca3dc71d70184bc6b4370544","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1eb25c2585b33cf15d1350164a1401516d9b2920ca3dc71d70184bc6b4370544","first_computed_at":"2026-05-17T23:54:37.841816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:37.841816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6U9UDZi2ToOaJCyNdWHKLd/q3l6RT3pCEqsnQl+MTm3WoXWGFg45jOHY9jVmGnN971s7EvjrK6GKw/DqVqV0Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:37.842394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f9a5bc7b0d48895e8e937926f66109caadb869bb3f88102f93bb4f272eb995d","sha256:72efa0e6a0019a7fb5f4d6fe61d77376c9a7a7f76c1a8585c48228c263413371"],"state_sha256":"b3878b4bd68976e91e8b1a0b6cbe7bc4758decddca618db11ba23adcb986eceb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NldAmcpwn68062Ljmw9HqYaJQlLg1pYZpVEHk6V7rY4YG56J2Pkgs1wrALitWpdSzXzjilpbwhv6xOL7l8onDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T09:19:50.476357Z","bundle_sha256":"af58ee8231022eb335df6cec75dc2a45aff038ea78c1fd2546c353d59e819dce"}}