{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MR6PX3HMVXAG7BGELQPELKSJIH","short_pith_number":"pith:MR6PX3HM","canonical_record":{"source":{"id":"2607.16868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T16:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"13c95e5a2906eedbfbd2df95a5ee9c0bffe8a101dc266344feb3af3cd4e6ccff","abstract_canon_sha256":"356e13b3bc9a14ec126d8c8c603867b0dbc6da3867a8941323dd1b7065a565bc"},"schema_version":"1.0"},"canonical_sha256":"647cfbececadc06f84c45c1e45aa4941f9e5a1f372eb7aeeea64755fc7829d25","source":{"kind":"arxiv","id":"2607.16868","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16868","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16868v1","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16868","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"MR6PX3HMVXAG","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"MR6PX3HMVXAG7BGE","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"MR6PX3HM","created_at":"2026-07-21T01:21:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MR6PX3HMVXAG7BGELQPELKSJIH","target":"record","payload":{"canonical_record":{"source":{"id":"2607.16868","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T16:14:08Z","cross_cats_sorted":[],"title_canon_sha256":"13c95e5a2906eedbfbd2df95a5ee9c0bffe8a101dc266344feb3af3cd4e6ccff","abstract_canon_sha256":"356e13b3bc9a14ec126d8c8c603867b0dbc6da3867a8941323dd1b7065a565bc"},"schema_version":"1.0"},"canonical_sha256":"647cfbececadc06f84c45c1e45aa4941f9e5a1f372eb7aeeea64755fc7829d25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:21:03.083329Z","signature_b64":"EK3a45JDZeGlz/D4XDX0V7Mz/ZKb7MI+Wui/rKyK8xXBcQFlFZ+jZgcC0k2+p+LCZbkKLws+UMav03MoooRbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"647cfbececadc06f84c45c1e45aa4941f9e5a1f372eb7aeeea64755fc7829d25","last_reissued_at":"2026-07-21T01:21:03.082433Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:21:03.082433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.16868","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":"2026-07-21T01:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0wvObuR+cqyUZ6WB7LcrjwiOdoJwPIAOi/WETvtqO85Q+8ItQICA5WUpdQOkJbWAW85mnpLTuWLxaXOWy73VAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T09:06:25.309522Z"},"content_sha256":"f8f05ad58266bf88b1f9928b773d29a5a7aa408430844e0980eb1fe4ac2e9f34","schema_version":"1.0","event_id":"sha256:f8f05ad58266bf88b1f9928b773d29a5a7aa408430844e0980eb1fe4ac2e9f34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MR6PX3HMVXAG7BGELQPELKSJIH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Lijun Zhang, Meiling Zhu, Minghua Liu, Xiaowei Huang, Yanni Dong","submitted_at":"2026-07-18T16:14:08Z","abstract_excerpt":"Large Language Models (LLMs) often produce confidently stated yet unreliable outputs, posing critical challenges for deployment in safety-sensitive applications. Existing uncertainty metrics such as semantic entropy capture agreement at the level of semantic equivalence, but largely ignore the logical relationships between distinct answers. As a result, they tend to overestimate uncertainty and falsely flag hallucinations in settings where generated responses are diverse in form yet logically compatible (e.g., differing only in granularity or specificity). We propose Logical Graph Uncertainty "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16868","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.16868/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-21T01:21:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VotRvdlLoRJIYa5vLXCSwEHZNdPA/iWWXlkPxSIOexvT10xSx5V613/imJNJBaBhx1j3qEzvQ7DXgOPecszECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T09:06:25.310389Z"},"content_sha256":"c6ca671186025ac8da47bae2d0b87dc25130abb35ca058d073c502a28894ca61","schema_version":"1.0","event_id":"sha256:c6ca671186025ac8da47bae2d0b87dc25130abb35ca058d073c502a28894ca61"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MR6PX3HMVXAG7BGELQPELKSJIH/bundle.json","state_url":"https://pith.science/pith/MR6PX3HMVXAG7BGELQPELKSJIH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MR6PX3HMVXAG7BGELQPELKSJIH/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":"2026-08-22T09:06:25Z","links":{"resolver":"https://pith.science/pith/MR6PX3HMVXAG7BGELQPELKSJIH","bundle":"https://pith.science/pith/MR6PX3HMVXAG7BGELQPELKSJIH/bundle.json","state":"https://pith.science/pith/MR6PX3HMVXAG7BGELQPELKSJIH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MR6PX3HMVXAG7BGELQPELKSJIH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MR6PX3HMVXAG7BGELQPELKSJIH","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":"356e13b3bc9a14ec126d8c8c603867b0dbc6da3867a8941323dd1b7065a565bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T16:14:08Z","title_canon_sha256":"13c95e5a2906eedbfbd2df95a5ee9c0bffe8a101dc266344feb3af3cd4e6ccff"},"schema_version":"1.0","source":{"id":"2607.16868","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.16868","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.16868v1","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.16868","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_12","alias_value":"MR6PX3HMVXAG","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_16","alias_value":"MR6PX3HMVXAG7BGE","created_at":"2026-07-21T01:21:03Z"},{"alias_kind":"pith_short_8","alias_value":"MR6PX3HM","created_at":"2026-07-21T01:21:03Z"}],"graph_snapshots":[{"event_id":"sha256:c6ca671186025ac8da47bae2d0b87dc25130abb35ca058d073c502a28894ca61","target":"graph","created_at":"2026-07-21T01:21:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.16868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large Language Models (LLMs) often produce confidently stated yet unreliable outputs, posing critical challenges for deployment in safety-sensitive applications. Existing uncertainty metrics such as semantic entropy capture agreement at the level of semantic equivalence, but largely ignore the logical relationships between distinct answers. As a result, they tend to overestimate uncertainty and falsely flag hallucinations in settings where generated responses are diverse in form yet logically compatible (e.g., differing only in granularity or specificity). We propose Logical Graph Uncertainty ","authors_text":"Lijun Zhang, Meiling Zhu, Minghua Liu, Xiaowei Huang, Yanni Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T16:14:08Z","title":"Beyond Semantic Equivalence: Logical Graphs for LLM Uncertainty Quantification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.16868","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:f8f05ad58266bf88b1f9928b773d29a5a7aa408430844e0980eb1fe4ac2e9f34","target":"record","created_at":"2026-07-21T01:21:03Z","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":"356e13b3bc9a14ec126d8c8c603867b0dbc6da3867a8941323dd1b7065a565bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-18T16:14:08Z","title_canon_sha256":"13c95e5a2906eedbfbd2df95a5ee9c0bffe8a101dc266344feb3af3cd4e6ccff"},"schema_version":"1.0","source":{"id":"2607.16868","kind":"arxiv","version":1}},"canonical_sha256":"647cfbececadc06f84c45c1e45aa4941f9e5a1f372eb7aeeea64755fc7829d25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"647cfbececadc06f84c45c1e45aa4941f9e5a1f372eb7aeeea64755fc7829d25","first_computed_at":"2026-07-21T01:21:03.082433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:03.082433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EK3a45JDZeGlz/D4XDX0V7Mz/ZKb7MI+Wui/rKyK8xXBcQFlFZ+jZgcC0k2+p+LCZbkKLws+UMav03MoooRbBA==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:03.083329Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.16868","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8f05ad58266bf88b1f9928b773d29a5a7aa408430844e0980eb1fe4ac2e9f34","sha256:c6ca671186025ac8da47bae2d0b87dc25130abb35ca058d073c502a28894ca61"],"state_sha256":"4aa407877f8efd60d535eacae92a9ed989d011f27ab909a74986794610afbf53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rZ5twXiM3MDODupNc0W5D7GQdQYooysn08Mq/DeNE91vxLS5sUmG6x8aT+k23jkyH01LjghgFCMrxUqTyVGMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T09:06:25.316384Z","bundle_sha256":"e318b0ad52741f4224b72ea7e0f1e3b714c268c44fe627cb11b9c1b2e4f8e5e2"}}