{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BIH2MB335IJTJXT44NIHNBUPPX","short_pith_number":"pith:BIH2MB33","canonical_record":{"source":{"id":"1506.02061","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.AI","submitted_at":"2015-02-26T09:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"497548c4a9e4638b047cf9e08eb67b7f37c81b2af9c50e739c95665c32e01eb0","abstract_canon_sha256":"2ae42b956f0205df040cd919fbadac4b3a9d2f5f5c64d5cb90cecd9846ef5a44"},"schema_version":"1.0"},"canonical_sha256":"0a0fa6077bea1334de7ce35076868f7ddad0781fa7176dc5d4456be2aef957eb","source":{"kind":"arxiv","id":"1506.02061","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02061","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02061v1","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02061","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"BIH2MB335IJT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIH2MB335IJTJXT4","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIH2MB33","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BIH2MB335IJTJXT44NIHNBUPPX","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02061","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.AI","submitted_at":"2015-02-26T09:36:49Z","cross_cats_sorted":[],"title_canon_sha256":"497548c4a9e4638b047cf9e08eb67b7f37c81b2af9c50e739c95665c32e01eb0","abstract_canon_sha256":"2ae42b956f0205df040cd919fbadac4b3a9d2f5f5c64d5cb90cecd9846ef5a44"},"schema_version":"1.0"},"canonical_sha256":"0a0fa6077bea1334de7ce35076868f7ddad0781fa7176dc5d4456be2aef957eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:52.199661Z","signature_b64":"dsgIA8968HKUVgJBxzIYbpjBm8+GfXpqWNvIL8exLIT5kJZvqAaB2rGehJ1w8lkEVyGBuH+2ldQ0gcYgOxs/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a0fa6077bea1334de7ce35076868f7ddad0781fa7176dc5d4456be2aef957eb","last_reissued_at":"2026-05-18T01:55:52.199204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:52.199204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02061","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":"2026-05-18T01:55:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NDqP24PZvOwMUbDlr3Sp3uqd3mCBUX2ZYBbWbdyhkmnraWDjTkVGIsB9cjymPSevY7NqEhssp4JsnMB8VKbQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:42:50.251372Z"},"content_sha256":"8d3e5b4cc2403c0ff1b769eea1068b0b9d0c15a46543b5b4a5219500edcf3b0c","schema_version":"1.0","event_id":"sha256:8d3e5b4cc2403c0ff1b769eea1068b0b9d0c15a46543b5b4a5219500edcf3b0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BIH2MB335IJTJXT44NIHNBUPPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropy and Syntropy in the Context of Five-Valued Logics","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Vasile Patrascu","submitted_at":"2015-02-26T09:36:49Z","abstract_excerpt":"This paper presents a five-valued representation of bifuzzy sets. This representation is related to a five-valued logic that uses the following values: true, false, inconsistent, incomplete and ambiguous. In the framework of five-valued representation, formulae for similarity, entropy and syntropy of bifuzzy sets are constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02061","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":"2026-05-18T01:55:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtuhE+YJRX97nn3MVfgspTM7DhphPQuUjqnpy8zQwUaSqgRhAMlmps430daf5xeirEiyEM7dFSueqN7234tAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T06:42:50.251717Z"},"content_sha256":"67faf1964fed7d173bd5bac13113d6fad258679d1aa564d1a59d6cb1578b900d","schema_version":"1.0","event_id":"sha256:67faf1964fed7d173bd5bac13113d6fad258679d1aa564d1a59d6cb1578b900d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIH2MB335IJTJXT44NIHNBUPPX/bundle.json","state_url":"https://pith.science/pith/BIH2MB335IJTJXT44NIHNBUPPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIH2MB335IJTJXT44NIHNBUPPX/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":"2026-06-29T06:42:50Z","links":{"resolver":"https://pith.science/pith/BIH2MB335IJTJXT44NIHNBUPPX","bundle":"https://pith.science/pith/BIH2MB335IJTJXT44NIHNBUPPX/bundle.json","state":"https://pith.science/pith/BIH2MB335IJTJXT44NIHNBUPPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIH2MB335IJTJXT44NIHNBUPPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BIH2MB335IJTJXT44NIHNBUPPX","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":"2ae42b956f0205df040cd919fbadac4b3a9d2f5f5c64d5cb90cecd9846ef5a44","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.AI","submitted_at":"2015-02-26T09:36:49Z","title_canon_sha256":"497548c4a9e4638b047cf9e08eb67b7f37c81b2af9c50e739c95665c32e01eb0"},"schema_version":"1.0","source":{"id":"1506.02061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02061","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02061v1","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02061","created_at":"2026-05-18T01:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"BIH2MB335IJT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BIH2MB335IJTJXT4","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BIH2MB33","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:67faf1964fed7d173bd5bac13113d6fad258679d1aa564d1a59d6cb1578b900d","target":"graph","created_at":"2026-05-18T01:55:52Z","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":"This paper presents a five-valued representation of bifuzzy sets. This representation is related to a five-valued logic that uses the following values: true, false, inconsistent, incomplete and ambiguous. In the framework of five-valued representation, formulae for similarity, entropy and syntropy of bifuzzy sets are constructed.","authors_text":"Vasile Patrascu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.AI","submitted_at":"2015-02-26T09:36:49Z","title":"Entropy and Syntropy in the Context of Five-Valued Logics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02061","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":"sha256:8d3e5b4cc2403c0ff1b769eea1068b0b9d0c15a46543b5b4a5219500edcf3b0c","target":"record","created_at":"2026-05-18T01:55:52Z","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":"2ae42b956f0205df040cd919fbadac4b3a9d2f5f5c64d5cb90cecd9846ef5a44","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.AI","submitted_at":"2015-02-26T09:36:49Z","title_canon_sha256":"497548c4a9e4638b047cf9e08eb67b7f37c81b2af9c50e739c95665c32e01eb0"},"schema_version":"1.0","source":{"id":"1506.02061","kind":"arxiv","version":1}},"canonical_sha256":"0a0fa6077bea1334de7ce35076868f7ddad0781fa7176dc5d4456be2aef957eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a0fa6077bea1334de7ce35076868f7ddad0781fa7176dc5d4456be2aef957eb","first_computed_at":"2026-05-18T01:55:52.199204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:52.199204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dsgIA8968HKUVgJBxzIYbpjBm8+GfXpqWNvIL8exLIT5kJZvqAaB2rGehJ1w8lkEVyGBuH+2ldQ0gcYgOxs/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:52.199661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d3e5b4cc2403c0ff1b769eea1068b0b9d0c15a46543b5b4a5219500edcf3b0c","sha256:67faf1964fed7d173bd5bac13113d6fad258679d1aa564d1a59d6cb1578b900d"],"state_sha256":"d2ebe10d63dcc58bb8dca5d2e413c7f5516470d9427dce7b836563cd32b18cde"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nwe6Eb+oa4Xz1RkvRhee9ePgF4hVL3AZz1qCVkFpeRrw41u0sowcMenv7wJYo5ukUXKQ1uDvXAsQUcfeNBncCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T06:42:50.253539Z","bundle_sha256":"1c5a5c9d7cd75473a441b72f0cf667a07e1ceeca7276374d8bb958982f9d726a"}}